Abstract: Systems and methods are provided for providing a multi-body interaction among a plurality of qubits. A first persistent current qubit is galvanically coupled to a second persistent current qubit through a Josephson junction. A third persistent current qubit is galvanically coupled to one or both of the first persistent current qubit and the second persistent current qubit along a superconducting loop interrupted by the first persistent current qubit, the second persistent current qubit, the third persistent current qubit, and the Josephson junction.

Abstract: Systems and methods are provided for coupling two qubits. A first persistent current qubit is fabricated with a first superconducting loop interrupted by a first Josephson junction isolated by a first inductor and a second inductor from a second Josephson junction. A second persistent current qubit is fabricated with a second superconducting loop interrupted by a third Josephson junction isolated by a third inductor and a fourth inductor from a fourth Josephson junction. Nodes defined by the Josephson junctions of the first qubit and their neighboring inductors are connected to corresponding nodes defined by the third Josephson junction and the third inductor via a first capacitor, with one pair of connections swapped such that the nodes are not connected to their respective corresponding nodes.

Abstract: Systems and methods are provided for coupling two flux qubits. A quantum circuit assembly includes a first flux qubit, having at least two potential energy minima, and a second flux qubit, having at least two potential energy minima. A system formed by the first and second qubits has at least four potential energy minima prior to coupling, each of the four potential energy minima containing at least one eigenstate of a system comprising the first flux qubit and the second flux qubit. A coupler creates a first tunneling path between a first potential energy minimum of the system and a second potential energy minimum of the system, and a second tunneling path between a third potential energy minimum of the system and a fourth potential energy minimum of the system. The coupler creates the first and second tunneling paths between potential energy minima representing states of equal bit parity.

Abstract: Systems and methods are provided for performing a quantum gate operation. The system includes a first physical qubit, and a second physical qubit operatively coupled to the first physical qubit via a coupling mechanism. The first physical qubit, the second physical qubit, and the coupling mechanism form a logical qubit. At least one control mechanism is configured to provide a control signal to one of the first physical qubit, the second physical qubit, and the coupling mechanism as to adjust a Hamiltonian of the logical qubit.

Abstract: Systems and methods are provided for coupling two flux qubits. A quantum circuit assembly includes a first flux qubit, having at least two potential energy minima, and a second flux qubit, having at least two potential energy minima. A system formed by the first and second qubits has at least four potential energy minima prior to coupling, each of the four potential energy minima containing at least one eigenstate of a system comprising the first flux qubit and the second flux qubit. A coupler creates a first tunneling path between a first potential energy minimum of the system and a second potential energy minimum of the system, and a second tunneling path between a third potential energy minimum of the system and a fourth potential energy minimum of the system. The coupler creates the first and second tunneling paths between potential energy minima representing states of equal bit parity.

Abstract: Systems and methods are provided for coupling two flux qubits. A quantum circuit assembly includes a first flux qubit, having at least two potential energy minima, and a second flux qubit, having at least two potential energy minima. A system formed by the first and second qubits has at least four potential energy minima prior to coupling, each of the four potential energy minima containing at least one eigenstate of a system comprising the first flux qubit and the second flux qubit. A coupler creates a first tunneling path between a first potential energy minimum of the system and a second potential energy minimum of the system, and a second tunneling path between a third potential energy minimum of the system and a fourth potential energy minimum of the system. The coupler creates the first and second tunneling paths between potential energy minima representing states of equal bit parity.

Abstract: Systems and methods are provided for linking two components in a superconducting circuit. A plurality of circuit elements, each comprising one of an inductor, a capacitor, and a Josephson junction, are connected in series on a path connecting the two components. A plurality of tunable oscillators are connected from the path connecting the two components. Each tunable oscillator is responsive to a control signal to tune an associated resonance frequency of the tunable oscillator within a first frequency range, within which the two components are coupled, and within a second frequency range, within which the two components are isolated.

Abstract: Systems and methods are provided for performing noise-resilient quantum operations. A set of control signals are applied to a system to provide a first Hamiltonian for the system. The system includes an array of physical qubits and a plurality of coupling mechanisms configured such that each pair of neighboring physical qubits within the array is coupled by an associated coupling mechanism. The first Hamiltonian represents, for each coupling mechanism, a coupling strength between zero and a maximum value. An adiabatic interpolation of the Hamiltonian of the system from the first Hamiltonian to a second Hamiltonian is performed. The second Hamiltonian represents, for at least one of the plurality of coupling mechanisms, a coupling strength different from that of the first Hamiltonian.

Abstract: Systems and methods are provided for coupling two flux qubits. A quantum circuit assembly includes a first flux qubit, having at least two potential energy minima, and a second flux qubit, having at least two potential energy minima. A system formed by the first and second qubits has at least four potential energy minima prior to coupling, each of the four potential energy minima containing at least one eigenstate of a system comprising the first flux qubit and the second flux qubit. A coupler creates a first tunneling path between a first potential energy minimum of the system and a second potential energy minimum of the system, and a second tunneling path between a third potential energy minimum of the system and a fourth potential energy minimum of the system. The coupler creates the first and second tunneling paths between potential energy minima representing states of equal bit parity.

Abstract: Systems and methods are provided for encoding two-qubit interactions. A quantum circuit comprises first and second logical qubits, each comprising a Bacon-Shor code block. A first edge of each logical qubit contains physical qubits each coupled to at least one neighboring physical qubit along the first edge along a first axis of the Bloch sphere and a second edge of each logical qubit contains physical qubits each coupled to at least one neighboring physical qubit along the second edge along a second axis of the Bloch sphere. A set of couplers couple the first and second logical qubits along the first axis of the Bloch sphere, with each of the set of couplers coupling a physical qubit along the second edge of the first logical qubit to a corresponding physical qubit along the second edge of the second logical qubit along the first axis of the Bloch sphere.

Abstract: Systems and methods are provided for performing noise-resilient quantum operations. A set of control signals are applied to a system to provide a first Hamiltonian for the system. The system includes an array of physical qubits and a plurality of coupling mechanisms configured such that each pair of neighboring physical qubits within the array is coupled by an associated coupling mechanism. The first Hamiltonian represents, for each coupling mechanism, a coupling strength between zero and a maximum value. An adiabatic interpolation of the Hamiltonian of the system from the first Hamiltonian to a second Hamiltonian is performed. The second Hamiltonian represents, for at least one of the plurality of coupling mechanisms, a coupling strength different from that of the first Hamiltonian.

Abstract: Systems and methods are provided for performing a quantum gate operation. The system includes a first physical qubit, and a second physical qubit operatively coupled to the first physical qubit via a coupling mechanism. The first physical qubit, the second physical qubit, and the coupling mechanism form a logical qubit. At least one control mechanism is configured to provide a control signal to one of the first physical qubit, the second physical qubit, and the coupling mechanism as to adjust a Hamiltonian of the logical qubit.

Abstract: A robust method of stabilizing a diode laser frequency to an atomic transition is provided. The method employs Zeeman shift to generate an anti-symmetric signal about a Doppler-broadened atomic resonance, and, therefore, offers a large recapture range as well as high stability. The frequency of a 780 nm diode laser, stabilized to such a signal in Rb, drifts less than 0.5 MHz.sub.pk-pk (one part in 10.sup.9) in thirty-eight hours. This tunable frequency lock may be inexpensively constructed, requires little laser power, rarely loses lock, and may be extended to other wavelengths by using different atomic species.