[0001] This application claims priority from U.S. Patent Application Serial

No.16/290324, filed 1 March 2019, which is incorporated herein in its entirety. GOVERNMENT INTEREST

[0002] The invention was made under Government Contract. Therefore, the US

Government has rights to the invention as specified in that contract. TECHNICAL FIELD

[0003] This disclosure relates generally to quantum and classical computing systems, and more specifically to a tunable current-mirror qubit system. BACKGROUND

[0004] Quantum computers implement devices called qubits to provide manipulation of data, such as based on superpositions of quantum states. One characteristic of qubits is their coherence, which can directly impact the fidelity with which a computer can implement a quantum operation. Qubit coherence can be affected by certain factors, such as the amplitude of the environmental noise that is coupled to the qubit, and the sensitivity of the qubit to the noise. As an example, the sensitivity to noise can be quantified as how a qubit’s current or voltage operators shifts and couples the quantum states of the qubit. The magnitude of these shifts and couplings can be described as the magnitude of three Pauli operators X,Y and Z acting on the quantum state, and will be refered to as Pauli dipoles. For example, for solid state qubits, dielectric noise can be one of the primary sources of environmental noise. Conventional qubit designs can be sensitive to decoherence channels such as dielectric loss or flux noise, which can be another ubiquitous noise type in solid state systems. SUMMARY

[0005] One example includes a tunable current-mirror qubit. The qubit includes a plurality of flux tunable elements disposed in a circuit loop. A first portion of the flux tunable elements can be configured to receive a first input flux and a remaining portion of the flux tunable elements can be configured to receive a second input flux to control a mode of the tunable current-mirror qubit between a microwave excitation mode to facilitate excitation or quantum state manipulation of the tunable current-mirror qubit via a microwave input signal and a noise-protected mode to facilitate storage of the quantum state of the tunable current-mirror qubit. The qubit also includes at least one capacitor interconnecting nodes between respective pairs of the flux tunable elements to facilitate formation of Cooper-pair excitons in each of the microwave excitation mode and the noise-protected mode.

[0006] Another example includes a method for controlling a tunable current-mirror qubit. The method includes providing excitation to the tunable current-mirror qubit via a microwave signal in a microwave excitation mode of the tunable current-mirror qubit to provide

manipulation of a quantum state of the tunable current-mirror qubit. The method also includes providing a first input flux to a first flux tunable element of a plurality of flux tunable elements disposed in a circuit loop of the tunable current-mirror qubit. The tunable current-mirror qubit further comprises at least one capacitor interconnecting nodes between respective pairs of the flux tunable elements to facilitate formation of Cooper-pair excitons that delocalize about the circuit loop. The method also includes adiabatically increasing the first input flux to a first amplitude and providing a second input flux to a remaining at least one of the plurality of flux tunable elements. The method further includes adiabatically increasing the first input flux from the first amplitude to a second amplitude and adiabatically increasing the second input flux from approximately zero amplitude to a first amplitude to set the tunable current-mirror qubit to a noise-protected mode to store the quantum state of the tunable current-mirror qubit.

[0007] Another example includes a tunable current-mirror qubit system. The system includes a first flux source that is controlled to provide a first input flux, a second flux source that is controlled to provide a second input flux, and a third flux source that is controlled to provide a third input flux. The system also includes a tunable current-mirror qubit. The qubit includes a plurality of superconducting quantum interference devices (SQUIDs) disposed in a circuit loop that is arranged as a Mobius loop and is configured to receive the third input flux, a first portion of the SQUIDs being configured to receive the first input flux and a remaining portion of the SQUIDs being configured to receive the second input flux, wherein the first, second, and third input fluxes are provided to control the mode of the tunable current-mirror qubit between a microwave excitation mode to facilitate excitation and quantum state manipulation of the tunable current-mirror qubit via a microwave input signal and a noise- protected mode to facilitate storage of the quantum state of the tunable current-mirror qubit. The qubit further includes at least one capacitor interconnecting nodes between respective pairs of the SQUIDs to facilitate formation of Cooper-pair excitons that delocalize about the circuit loop in each of the microwave excitation mode and the noise-protected mode. BRIEF DESCRIPTION OF THE DRAWINGS

[0008] FIG.1 illustrates an example of a tunable current-mirror qubit system.

[0009] FIG.2 illustrates an example of a circuit diagram of a tunable current-mirror qubit.

[0010] FIG.3 illustrates another example of a circuit diagram of a tunable current-mirror qubit system.

[0011] FIG.4 illustrates an example of a method for controlling a tunable current-mirror qubit. DETAILED DESCRIPTION

[0012] This disclosure relates generally to quantum and classical computing systems, and more specifically to a tunable current-mirror qubit system. The tunable current-mirror qubit system can be implemented for quantum operations in a quantum computer system. The tunable current-mirror qubit system can include a tunable current-mirror qubit and a plurality of flux sources that can be independently controlled to provide input fluxes to the tunable current-mirror qubit. The tunable current-mirror qubit can include a plurality of flux tunable elements, which can be arranged to act as superconducting quantum interference devices (SQUIDs) that can be arranged about a circuit loop and can be configured to receive two of the plurality of input fluxes. As an example, the circuit loop can be configured as a Mobius loop with respect to the flux tunable elements. For example, a first portion (e.g., a single one) of the flux tunable elements can be configured to receive a first input flux while the remaining at least one of the flux tunable elements can receive a second input flux. Additionally, the circuit loop can be configured to receive a third input flux. The tunable current-mirror qubit can also include at least one capacitor that can interconnect nodes between respective pairs of the flux tunable elements, such that the capacitors can facilitate correlated motion of Cooper pairs about the circuit loop of the tunable current-mirror qubit.

[0013] The input fluxes can be independently controlled to allow the tunable current- mirror qubit to transition between at least two modes of the tunable current-mirror qubit. In a microwave excitation mode of the tunable current-mirror qubit, the quantum state of the tunable current-mirror qubit can be manipulated via a resonant microwave signal, and can thus generate quantum superpositions to be stored in the tunable current-mirror qubit. By manipulating the input fluxes, the tunable current-mirror qubit can be set to a noise-protected mode in which the quantum state can be stored in the tunable current-mirror qubit in a manner that is substantially insensitive to noise.

[0014] For example, the first input flux can be provided and adiabatically increased while the second input flux is deactivated and the third input flux is provided (e.g., at a static amplitude) to change the tunable current-mirror qubit from the microwave excitation mode to a persistent current mode at which the ground and excited microwave states adiabatically changes to a right rotating current state and a left rotating current state about the tunable current-mirror qubit. As another example, the third input flux can be deactivated while the first and second input fluxes are adiabatically increased to change the tunable current-mirror qubit from the persistent current mode to the noise-protected mode during which charge fluctuations primarily occur as Cooper excitons, and the method of exciton current rotation of Cooper excitons about the circuit loop provides for noise to affect the quantum states of tunable current-mirror qubit approximately equally and oppositely, thus reducing sensitivity of the qubit states to noise. As described herein, Cooper excitons can correspond to Cooper pair charge excitations where equal magnitude and opposite charge occur on respective sides of the capacitors about the tunable current-mirror qubit. Accordingly, the excitation can be stored in the tunable current-mirror qubit in a manner that is substantially insensitive to noise. The input fluxes can thus be controlled in a reverse order to return the tunable current-mirror qubit to the microwave excitation mode to facilitate readout of the excitation of the tunable current-mirror qubit.

[0015] FIG.1 illustrates an example of a tunable current-mirror qubit system 10. The tunable current-mirror qubit system 10 can be implemented in a quantum computer system to manipulate and store quantum data in the quantum computer system.

[0016] The tunable current-mirror qubit system 10 includes a plurality of flux sources 12 and a tunable current-mirror qubit 14. The flux sources 12 can correspond to any of a variety of circuit devices and elements that can provide magnetic flux, such as current-carrying inductors. In the example of FIG.1, the tunable current-mirror qubit 14 includes a plurality of flux tunable elements 16 and at least one capacitor 18. As described in greater detail herein, the flux tunable elements 16 can be arranged about a circuit loop, which can be arranged as a Mobius loop, and the at least one capacitor 18 can be arranged to interconnect nodes between respective pairs of flux tunable elements 16. As an example, the flux tunable elements 16 can be arranged as superconducting quantum interference devices (SQUIDs) that are disposed about the circuit loop.

[0017] The flux sources 12 can be independently controlled to provide input fluxes to the tunable current-mirror qubit 14. For example, a first portion (e.g., a single one) of the flux tunable elements 16 can be configured to receive a first input flux provided from the flux sources 12 while the remaining at least one of the flux tunable elements 16 can receive a second input flux from the flux sources 12. Additionally, the circuit loop about which the flux tunable elements 16 are arranged can be configured to receive a third input flux from the flux sources 12. The flux sources 12 can be independently controlled to provide the input fluxes in a manner to allow the tunable current-mirror qubit 14 to transition between at least two modes. The states can correspond to different manners in which Cooper pairs are correlated on opposite ends of the capacitor(s) 18.

[0018] The first mode corresponds to a microwave excitation mode in which the quantum state of the tunable current-mirror qubit 14 can be manipulated via a microwave signal, demonstrated in the example of FIG.1 as a signal MCWE. Therefore, the microwave excitation signal MCWE can be used to create quantum superpositions stored in the tunable current-mirror qubit 14. A second mode corresponds to a noise-protected mode in which the established quantum state can be stored in the tunable current-mirror qubit 14 in a manner that is

substantially insensitive to noise, thus providing strong coherence of the tunable current-mirror qubit 14. By manipulating the input fluxes provided from the flux sources 12, the tunable current-mirror qubit 14 can be controlled to transition between the first and second modes.

[0019] As an example, the input fluxes can be provided from the flux sources 12 to switch between first and second modes via an intermediate state corresponding to a persistent current mode at which the ground and excited microwave states changes to rotating current states about the tunable current-mirror qubit 14. For example, the first input flux can be provided and adiabatically increased (e.g., from approximately zero amplitude to a first amplitude) while the second input flux is deactivated and the third input flux is provided (e.g., at a static amplitude) to change the tunable current-mirror qubit 14 from the microwave excitation mode excitation mode to the persistent current mode. As another example, the third input flux can be deactivated while the first and second input fluxes are adiabatically increased to change the tunable current-mirror qubit 14 from the persistent current mode to the noise-protected mode in which rotation of Cooper-pair exciton current about the circuit loop provide for noise to affect the tunable current- mirror qubit 14 quantum states approximately equally and oppositely. For example, the first input flux can be adiabatically increased from the first amplitude to a second amplitude and the second input flux can be adiabatically increased from approximately zero amplitude to a first amplitude (which may be different from the first amplitude of the first input flux). Accordingly, the quantum state generated by microwave excitation MCWE can be stored in the tunable current-mirror qubit 14 in a manner that is substantially insensitive to noise, thus providing strong coherence of the tunable current-mirror qubit 14.

[0020] As an example, the input fluxes can thus be controlled in a reverse order manner to return the tunable current-mirror qubit to the microwave excitation mode to facilitate readout of the quantum state of the tunable current-mirror qubit 14. For example, the third input flux can remain deactivated while the first and second input fluxes are adiabatically decreased to change the tunable current-mirror qubit 14 from the noise-protected mode to the persistent current mode. For example, the first input flux can be adiabatically decreased from the second amplitude to the first amplitude and the second input flux can be decreased from the first amplitude to

approximately zero amplitude. As another example, the third input flux can be reactivated, the second input flux can be deactivated, and the first input flux is adiabatically decreased to change the tunable current-mirror qubit 14 from the persistent current mode back to the microwave excitation mode. The quantum state of the tunable current-mirror qubit 14 can then be readout using standard microwave readout techniques such as causing a dispersive shift to a readout resonator. Therefore, the microwave excitation MCWE can be readout from the tunable current- mirror qubit 14. Because the tunable current-mirror qubit 14 was prior set to the noise-protected mode, decay of the fidelity of the quantum state from the intended quantum state can be significantly mitigated. Accordingly, as described herein, the tunable current-mirror qubit system 10 can provide for storage of quantum states in a highly coherent manner relative to typical qubits.

[0021] FIG.2 illustrates an example of a tunable current-mirror qubit 50. The tunable current-mirror qubit 50 can be implemented in a quantum computer system to manipulate quantum data in the quantum computer system. For example, the tunable current-mirror qubit 50 can correspond to the tunable current-mirror qubit 14 in the example of FIG.1. Therefore, reference is to be made to the example of FIG.1 in the following description of the example of FIG.2.

[0022] In the example of FIG.2, the tunable current-mirror qubit 50 includes a plurality of SQUIDs 52, demonstrated as having a quantity of eight that are disposed about a circuit loop 54. The SQUIDs are each demonstrated as including a pair of parallel Josephson junctions J1 and J2. Additionally, the tunable current-mirror qubit 50 includes a plurality of capacitors, demonstrated in the example of FIG.2 as C1, C2, C3, and C4, that interconnect nodes between respective pairs of SQUIDs 52. Particularly, in the example of FIG.2, the capacitor C ₁ interconnects nodes 56 and 58, the capacitor C ₂ interconnects nodes 60 and 62, the capacitor C ₃ interconnects nodes 64 and 66, and the capacitor C4 interconnects nodes 68 and 70. In the example of FIG.2, the capacitors C1, C2, C3, and C4 are not coupled to each other. The arrangement of the SQUIDs 52 and the capacitors C ₁ , C ₂ , C ₃ , and C ₄ can thus correspond to a Mobius loop with respect to the motion of Cooper pairs, and thus Cooper excitons, about the circuit loop 52 and about opposite ends of the respective capacitors C1, C2, C3, and C4. As an example, the capacitors C ₁ , C ₂ , C ₃ , and C ₄ can have a relatively large capacitance relative to the capacitance of the Josephson junctions (e.g., at least 50 femtofarads).

[0023] In the example of FIG.2, a first one of the SQUIDs 52, demonstrated at 72, is configured to receive a first input flux a, while the remaining SQUIDs 52 are configured to receive a second input flux g. For example, the input fluxes a and g can be provided from separate flux sources 12 in the example of FIG.1. Additionally, in the example of FIG.2, the circuit loop 54 is provided a third input flux D from another flux source (e.g., another flux source 12). The input fluxes a, g, and D can be independently controlled to control the mode of the tunable current-mirror qubit 50, such as to allow the tunable current-mirror qubit 50 to transition between at least two modes, as described herein. The states can correspond to different manners in which Cooper pairs are correlated on opposite ends of the capacitors C ₁ , C ₂ , C ₃ , and C ₄ .

[0024] The first mode corresponds to a microwave excitation mode in which the quantum state of the tunable current-mirror qubit 50 can be manipulated via a microwave signal, demonstrated in the example of FIG.2 as a signal MCWE provided at the node 56. Therefore, the microwave excitation signal MCWE can be in resonance with the transition frequency of the tunable current-mirror qubit 50, and can thus create quantum superpositions stored in the tunable current-mirror qubit 50. A second mode corresponds to a noise-protected mode in which the quantum state can be stored in the tunable current-mirror qubit 50 in a manner that is substantially insensitive to noise, thus providing strong coherence of the tunable current-mirror qubit 50. By manipulating the input fluxes provided from the flux sources 52, the tunable current-mirror qubit 50 can be controlled to transition between the first and second modes, such as via an intermediate mode corresponding to a persistent current mode, as described previously in the example of FIG.1.

[0025] For example, the first input flux a can be provided and adiabatically increased (e.g., from approximately zero amplitude to a first amplitude) while the input flux g is deactivated and the third input flux D is provided (e.g., at a static amplitude) to change the tunable current-mirror qubit 50 from the microwave-excitation mode to the persistent current mode. As another example, the third input flux D can be deactivated while the first and second input fluxes a and g are adiabatically increased to change the tunable current-mirror qubit 50 from the persistent current mode to the noise-protected mode, during which rotation of Cooper excitons current about the circuit loop provides for noise to affect the tunable current-mirror qubit 50 states approximately equally and oppositely. For example, the input flux a can be adiabatically increased from the first amplitude to a second amplitude and the input flux g can be adiabatically increased from approximately zero amplitude to a first amplitude (which may be different from the first amplitude of the input flux a). Accordingly, the quantum state can be stored in the tunable current-mirror qubit 50 in a manner that is substantially insensitive to noise to provide strong coherence of the tunable current-mirror qubit 50.

[0026] As an example, the input fluxes can thus be controlled in a reverse order manner to return the tunable current-mirror qubit to the microwave excitation mode to facilitate readout of the quantum state of the tunable current-mirror qubit 50. For example, the third input flux D can remain deactivated while the first and second input fluxes a and g are adiabatically decreased to change the tunable current-mirror qubit 50 from the noise-protected mode to the persistent current mode. For example, the input flux a can be adiabatically decreased from the second amplitude to the first amplitude and the input flux g can be decreased from the first amplitude to approximately zero amplitude. As another example, the third input flux D can be reactivated, the input flux g can be deactivated, and the input flux a is adiabatically decreased to change the tunable current-mirror qubit 50 from the persistent current mode back to the microwave excitation mode. Therefore, the quantum state can be readout from the tunable current-mirror qubit 50. Because the tunable current-mirror qubit 50 was prior set to the noise-protected mode, decay of the quantum state can be significantly mitigated. Accordingly, as described herein, the tunable current-mirror qubit 50 can provide for storage of quantum states in a highly coherent manner relative to typical qubits.

[0027] For example, for conventional Josephson circuits, the low-energy charge excitations are“charge 2e” Cooper pairs. Such charge excitations, e.g., the net number of Cooper pairs on each superconducting lead corresponding to the nodes 56, 58, 60, 62, 64, 66, 68, and 70, can be utilized to describe a basis for the quantum states of the tunable current-mirror qubit 50. As Cooper pairs move around the circuit loop 54, they can move about the

nodes 56, 58, 60, 62, 64, 66, 68, and 70, but the total number of Cooper pairs is conserved. One of the distinguishing characteristics of the tunable current-mirror qubit 50 is it can operate in the regime where the capacitance of the capacitors C ₁ , C ₂ , C ₃ , and C ₄ , described generally as C _B , is much greater than a junction capacitance of the Josephson junctions J1 and J2, described generally as CJ, and much greater than a stray ground capacitance of the respective nodes 56, 58, 60, 62, 64, 66, 68, and 70, described generally as C _G . In this regime the lowest-energy charge excitations are“Cooper-pair excitons”, which are charge excitations that are comprised of a Cooper pair and a Cooper-pair hole on either side of a given one of the capacitors C1, C2, C3, and C ₄ . Such Cooper-pair exciton excitations are only a subset of all possible charge excitations. The ability to have a low-energy regime described in terms of Cooper-pair excitons is a fundamental distinction of the tunable current-mirror qubit 50 from conventional

superconducting circuits, and is an essential property that enables the unique noise immunity of the tunable current-mirror qubit 50, as described herein.

[0028] In the microwave excitation mode, the Josephson coupling energy between leads of the tunable current-mirror qubit 50 is tuned to be larger than the charging energy of the Josephson junctions J ₁ and J ₂ of each of the SQUIDs 52, which is the default approximately zero amplitude-field condition of the tunable current-mirror qubit 50. In the microwave excitation mode and the persistent current mode, Cooper pairs delocalize around the entire circuit loop 54. In the microwave excitation mode, the tunable current-mirror qubit 50 is encoded in the ground and first excited states of the lowest frequncy microwave mode of the entire circuit loop 54. The manipulation of the quantum state in the microwave mode (e.g., provided by the microwave excitation MCWE) is implement by coupling to voltage operators of the qubit and can be utilized to prepare and readout the tunable current-mirror qubit 50 (e.g., by coherent microwave driving and dispersive readout). While there can be many modes of the tunable current-mirror qubit 50, in the microwave-excitation mode, the qubit mode can be isolated in frequency with well-defined mode structure of voltage and current fluctuations, such as by modestly decreasing the effective critical current of the CJJ 52 that receives the first input flux a.

[0029] In the persistent current mode, the tunable current-mirror qubit 50 is encoded in circulating current states of the circuit loop 54. The two circulating current states associated with the persistent current mode can be distinguished by different changes in the superconducting phase dq across each CJJ 52. For example, the difference dq between the two circulating current states for each CJJ 52 can be approximately equal to ^/NB, where NB corresponds to the number of capacitors (e.g., four in the example of FIG.2). The circulating current states can be labeled as and This difference in phase change across the SQUIDs 52 can lead to a Pauli dipole for the current operator describing current flowing in the circuit loop. For example, for one choice of basis, the two qubit states will have a difference in the quantum expectation value for charge current flowing in the circuit loop for each of the two qubit states.

[0030] In the noise-protected mode, the qubit encoding is different from either of the microwave excitation mode or the persistent current mode. In the noise-protected mode, the Josephson coupling between the leads is reduced to below the charging energy of the Josephson junctions J1 and J2. As a result, only Cooper-excitons substantially delocalize around the circuit loop 54. The Josephson junction coupling of Cooper pairs generates, via a second order process, a coupling between Cooper-pair excitons on neighboring capacitors of the capacitors C1, C2, C3, and C4. Since the capacitors C1, C2, C3, and C4 have such a large capacitance, the Cooper exciton hopping energy is larger than the exciton charging energy, causing the Cooper excitons delocalize around the circuit loop 54.

[0031] Cooper-pair excitons are fundamentally different than Cooper pairs in that, when they travel around a loop, they can arrive back as a negatively charged version of themselves based on the Mobius topological configuration of the tunable current-mirror qubit 50. Like Cooper pairs, the number of Cooper-pair excitons are locally conserved as they move from capacitor to capacitor of the capacitors C1, C2, C3, and C4. However when a Cooper exciton travels around the Mobius loop structure of the circuit loop 54 and arrives back as a negative exciton, it effectively changes the total number of Cooper-pair excitons by two. As such, the tunable current-mirror qubit 50 encodes the qubit state as and which corresponds to an

even or odd number of Cooper-pair excitons, respectively. The symmetric and antisymmetric quantum superposition of these states is referred to as states

respectively.

[0032] In the noise-protected mode, where the Cooper-pair exciton hopping is large with respect to the charging energy of the capacitors, the Cooper-pair exciton number fluctuations become large and the energy of the |+^^and |–^^states (and thus the 0 and ^ states) becomes nearly degenerate. In this regime, the magnitude of the Pauli dipoles of voltage and current operators become significantly suppressed, and thus the tunable current-mirror qubit 50 becomes protected from environmental noise. Therefore, when when Cooper-pair excitons delocalize around the Mobius arrangement of the circuit loop 54 into a single delocalized quantum state, any local noise source that couples to voltage or current operators does not shift or couple the quantum states of the quabits

[0033] For example, to transition between the microwave excitation mode and the persistent current mode, the first input flux a is tuned from slightly greater than approximately zero amplitude (to isolate the lowest mode in frequency from the other modes) to a value approximately equal to a first amplitude ^ corresponding to the superconducting flux quantum. This is implemented while for the third flux D is constant and slightly greater than approximately zero amplitude, as well. For these values of control fluxes, the ground state is adiabatically transformed into the lower energy current state, while the excited state is adiabatically transformed into the higher energy current state. To transition between the persistent current mode and the noise-protected mode, both the second input flux g and the first flux a are adiabatically increased by an approximate ^/2 flux magnitude. For these values of control flux, the |0^^ and |^^ states in the persistent current mode are adiabatically transformed into the |0^^ and |^^ states in the noise-protected mode.

[0034] These adiabatic transitions allow the Pauli dipoles of voltage and current operators to be transformed between the microwave and current modes, or to be significantly suppressed as the tunable current-mirror qubit 50 transitions to the noise-protected mode. The tunable current-mirror qubit 50 can also be readout using these transitions, similar to as described previously. As an example, the tunable current-mirror qubit 50 can transition from the noise-protected mode to the persistent current mode, and the value of the current can be sensed directly. Thus, the current can be read from the tunable current-mirror qubit 50 in the |0^ and |^^ states. To readout the qubit in the |+^^and |–^^states, the tunable current-mirror qubit 50 is transitioned from the noise-protected mode to the persistent current mode, then transitioned to the microwave excitation mode to perform a readout (e.g., via an X90 microwave gate) before the tunable current-mirror qubit 50 is dispersively readout.

[0035] The methods for preparation and readout of the tunable current-mirror qubit 50 are not limited to as described herein, such that there are other possible methods that can be appreciated based on, for example, physical voltage or current operators acting on the qubit state. Additionally, other physical arrangements of the tunable current-mirror qubit 50 are also possible, such that the tunable current-mirror qubit 50 can be scaled to include any number of flux tunable elements and associated capacitor arrangements.

[0036] FIG.3 illustrates an example of a tunable current-mirror qubit 100. The tunable current-mirror qubit 100 can be implemented in a quantum computer system to manipulate quantum data in the quantum computer system. For example, the tunable current-mirror qubit 100 can correspond to the tunable current-mirror qubit 14 in the example of FIG.1. Therefore, reference is to be made to the example of FIG.1 in the following description of the example of FIG.3.

[0037] In the example of FIG.3, the tunable current-mirror qubit 100 includes a plurality N of SQUIDs 102, where N is a positive integer greater than one, demonstrated as disposed about a circuit loop. The SQUIDs 102 are each demonstrated as including a pair of parallel Josephson junctions J1 and J2. Additionally, the tunable current-mirror qubit 100 includes a plurality X of capacitors, where X is a positive integer greater than one and can be equal to N/2, that interconnect nodes between respective pairs of SQUIDs 102. The arrangement of the SQUIDs 102 and the capacitors C1 through CX can thus correspond to a Mobius loop, demonstrated based on a twisted section at 104, As an example, the capacitors C1 through CX can have a relatively large capacitance (e.g., at least 50 femtofarads).

[0038] The tunable current-mirror qubit 100 can thus operate substantially the same as the tunable current-mirror qubit 50 in the example of FIG.2, but is demonstrated as having a potentially much larger quantity of flux tunable elements. Particularly, for example, a respective one of the SQUIDs 102 can receive a first input flux a, while the remaining SQUIDs 102 are configured to receive a second input flux g, and the circuit loop arrangement of the SQUIDs 102 can receive a third input flux D. Accordingly, the input fluxes a, g, and D can be independently controlled to control the mode of the tunable current-mirror qubit 100, such as to allow the tunable current-mirror qubit 100 to transition between at least two modes, as described herein.

[0039] In view of the foregoing structural and functional features described above, a methodology in accordance with various aspects of the present invention will be better appreciated with reference to FIG.4. While, for purposes of simplicity of explanation, the methodology of FIG.4 is shown and described as executing serially, it is to be understood and appreciated that the present invention is not limited by the illustrated order, as some aspects could, in accordance with the present invention, occur in different orders and/or concurrently with other aspects from that shown and described herein. Moreover, not all illustrated features may be required to implement a methodology in accordance with an aspect of the present invention. [0040] FIG.4 illustrates an example of a method 150 for controlling a tunable current- mirror qubit (e.g., the tunable current-mirror qubit 14). At 152, excitation is provided to the tunable current-mirror qubit via a microwave signal (e.g., the microwave excitation MCWE) in a microwave excitation mode of the tunable current-mirror qubit. At 154, a first input flux (e.g., the first input flux a) to a first flux tunable element of a plurality of flux tunable elements (e.g., the flux tunable elements 16) disposed in a circuit loop (e.g., the circuit loop 54) of the tunable current-mirror qubit. The tunable current-mirror qubit can further include a plurality of capacitors (e.g., the capacitors 18) interconnecting nodes between respective pairs of the flux tunable elements to facilitate correlations of Cooper pairs. At 156, the first input flux is adiabatically increased to a first amplitude. At 158, a second input flux (e.g., the second input flux g) is provided to a remaining at least one of the plurality of flux tunable elements. At 160, the first input flux is adiabatically increased from the first amplitude to a second amplitude and the second input flux is adiabatically increased from approximately zero amplitude to a first amplitude to set the tunable current-mirror qubit to a noise-protected mode to store the quantum state of the tunable current-mirror qubit.

[0041] What have been described above are examples of the disclosure. It is, of course, not possible to describe every conceivable combination of components or method for purposes of describing the disclosure, but one of ordinary skill in the art will recognize that many further combinations and permutations of the disclosure are possible. Accordingly, the disclosure is intended to embrace all such alterations, modifications, and variations that fall within the scope of this application, including the appended claims.