Abstract: Analog processors for solving various computational problems are provided. Such analog processors comprise a plurality of quantum devices, arranged in a lattice, together with a plurality of coupling devices. The analog processors further comprise bias control systems each configured to apply a local effective bias on a corresponding quantum device. A set of coupling devices in the plurality of coupling devices is configured to couple nearest-neighbor quantum devices in the lattice. Another set of coupling devices is configured to couple next-nearest neighbor quantum devices. The analog processors further comprise a plurality of coupling control systems each configured to tune the coupling value of a corresponding coupling device in the plurality of coupling devices to a coupling. Such quantum processors further comprise a set of readout devices each configured to measure the information from a corresponding quantum device in the plurality of quantum devices.

Abstract: A method for quantum computing using a quantum system comprising a plurality of qubits is provided. The system can be in any one of at least two configurations at any given time including one characterized by an initialization Hamiltonian HO and one characterized by a problem Hamiltonian HP. The problem Hamiltonian HP has a ground state. Each respective first qubit in the qubits is arranged with respect to a respective second qubit in the qubits such that they define a predetermined coupling strength. The predetermined coupling strengths between the qubits in the plurality of qubits collectively define a computational problem to be solved. In the method, the system is initialized to HO and is then adiabatically changed until the system is described by the ground state of the problem Hamiltonian HP. Then the state of the system is read out by probing an observable of the ?X Pauli matrix operator.

Abstract: A computer program product with computer program mechanism embedded therein is provided. The mechanism has instructions for initializing a quantum system, which includes a plurality of qubits, to an initialization Hamiltonian HO. The system is capable of being in one of at least two configurations at any give time including HO and a problem Hamiltonian HP. Each respective first qubit in the plurality of qubits is arranged with respect to a respective second qubit in the plurality of qubits such that the first respective qubit and the second respective qubit define a predetermined coupling strength. The predetermined coupling strengths between the qubits in the plurality of qubit collectively define a computational problem to be solved. The mechanism further comprises instructions for adiabatically changing the system until it is described by the ground state of the problem Hamiltonian HP and instructions for reading out the state of the system.

Abstract: A method for computing using a quantum system comprising a plurality of superconducting qubits is provided. Quantum system can be in any one of at least two configurations including (i) an initialization Hamiltonian H0 and (ii) a problem Hamiltonian HP. The plurality of superconducting qubits are arranged with respect to one another, with a predetermined number of couplings between respective pairs of superconducting qubits in the plurality of qubits, such that the plurality of superconducting qubits, coupled by the predetermined number of couplings, collectively define a computational problem to be solved. In the method, quantum system is initialized to the initialization Hamiltonian HO. Quantum system is then adiabatically changed until it is described by the ground state of the problem Hamiltonian HP. The quantum state of quantum system is then readout thereby solving the computational problem to be solved.