A second problem Hamiltonian may replace a first problem Hamiltonian during evolution of an analog processor (e.g., quantum processor) during a first iteration in solving a first problem. This may be repeated during a second, or further successive iterations on the first problem, following re-initialization of the analog processor. An analog processor may evolve under a first non-monotonic evolution schedule during a first iteration, and second non-monotonic evolution schedule under second, or additional non-monotonic evolution schedule under even further iterations. A first graph and second graph may each be processed to extract final states versus a plurality of evolution schedules, and a determination made as to whether the first graph is isomorphic with respect to the second graph. An analog processor may evolve by decreasing a temperature of, and a set of quantum fluctuations, within the analog processor until the analog processor reaches a state preferred by a problem Hamiltonian.
Please help me write a proper abstract based on the patent claims. CLAIM: 1-21. (canceled) 22. A system for use in quantum processing, comprising: at least one non-transitory processor-readable medium that stores at least one of processor executable instructions or data; and at least one processor communicatively coupled to the least one non-transitory processor-readable medium, and which, in response to execution of the at least one of processor executable instructions or data: for a first computational problem, during a first iteration on the first computational problem: initializes an analog processor to a first initial state; causes the analog processor to evolve for a first time period from the initial state toward a first state preferred by a first problem Hamiltonian; replaces the first problem Hamiltonian with a second problem Hamiltonian, wherein a ground state to the second problem Hamiltonian approximates the ground state of the first computational problem; continues to evolve the analog processor toward a first final state preferred by the second problem Hamiltonian; and reads out the first final state thereby determining a first result of the first computational problem. 23. The system of claim 22 wherein, in response to execution of the at least one of processor executable instructions or data, the at least one processor: for the first computational problem, during a second iteration on the first computational problem, the second iteration different from the first iteration: re-initializes the analog processor to a second initial state; causes the analog processor to re-evolve for a second time period from the second initial state toward a second state preferred by the first problem Hamiltonian; replaces the first problem Hamiltonian with the second problem Hamiltonian, wherein the ground state to the second problem Hamiltonian approximates the ground state of the first computational problem; continues to re-evolve the analog processor toward a second final state preferred by the second problem Hamiltonian; and reads out the second final state thereby determining a second result of the first computational problem. 24. The system of claim 23 wherein, in response to execution of the at least one of processor executable instructions or data, the at least one processor: records the first result and a value correlated with the first time period; and records the second result and a value correlated with the second time period. 25. The system of claim 23 wherein, in response to execution of the at least one of processor executable instructions or data, the at least one processor: returns the first result and a value correlated with the first time period; and returns the second result and a value correlated with the second time period. 26. The system of claim 22 wherein the analog processor comprises: a plurality of quantum devices; a plurality of local bias devices to provide controllable local biases to the plurality of quantum devices; and a plurality of couplers to provide controllable communicative coupling between respective pairs of quantum devices in the plurality of quantum devices. 27. The system of claim 26 wherein, in response to execution of the at least one of processor executable instructions or data, the at least one processor: sets a local bias value for each local bias device in the plurality of local bias devices; and sets a coupling value for each coupler in the plurality of couplers. 28. The system of claim 22 wherein the first problem Hamiltonian and the second problem Hamiltonian differ by a plurality of single qubit terms. 29. The system of claim 22 wherein the first problem Hamiltonian and the second problem Hamiltonian differ by a plurality of two qubit terms. 30. A computational method, comprising: for a first computational problem, during a first iteration on the first computational problem: initializing of an analog processor to a first initial state, by at least one processor; causing the analog processor to evolve for a first time period from the initial state toward a first state preferred by a first problem Hamiltonian, by at least one processor; replacing the first problem Hamiltonian with a second problem Hamiltonian, wherein a ground state to the second problem Hamiltonian approximates the ground state of the first computational problem, by at least one processor; continuing to evolve the analog processor toward a first final state preferred by the second problem Hamiltonian, by at least one processor; and reading out the first final state thereby determining a first result of the first computational problem, by at least one processor. 31. The method of claim 30, further comprising: for the first computational problem, during a second iteration on the first computational problem, the second iteration different from the first iteration: causing the re-initialization of the analog processor to a second initial state, by at least one processor; causing the analog processor to re-evolve for a second time period from the second initial state toward a second state preferred by the first problem Hamiltonian, by at least one processor; replacing the first problem Hamiltonian with the second problem Hamiltonian, wherein the ground state to the second problem Hamiltonian approximates the ground state of the first computational problem, by at least one processor; continuing to re-evolve the analog processor toward a second final state preferred by the second problem Hamiltonian, by at least one processor; and reading out the second final state thereby determining a second result of the first computational problem, by at least one processor. 32. The method of claim 30, further comprising: recording the first result and a value correlated with the first time period, by at least one processor; and recording the second result and a value correlated with the second time period, by at least one processor. 33. The method of claim 30, further comprising: returning the first result and a value correlated with the first time period, by at least one processor; and returning the second result and a value correlated with the second time period, by at least one processor. 34. The method of claim 30, wherein the analog processor comprises a plurality of quantum devices, a plurality of local bias devices to provide controllable local biases to the plurality of quantum devices, and a plurality of couplers to provide controllable communicative coupling between respective pairs of quantum devices in the plurality of quantum devices; and the method further comprising: setting a local bias value for each local bias device in the plurality of local bias devices, by at least one processor; and setting a coupling value for each coupler in the plurality of couplers, by at least one processor. 35. The method of claim 30, wherein the first problem Hamiltonian and the second problem Hamiltonian differ by a plurality of single-qubit terms. 36. The method of claim 30, wherein the first problem Hamiltonian and the second problem Hamiltonian differ by a plurality of two-qubit terms. 37. A system for use in quantum processing, comprising: at least one non-transitory processor-readable medium that stores at least one of processor executable instructions or data; and at least one processor communicatively coupled to the least one non-transitory processor-readable medium, and which, in response to execution of the at least one of processor executable instructions or data: for a first computational problem defined by a problem Hamiltonian, during a first iteration on the first computational problem: initializes an analog processor to a first state; evolves the analog processor under a first non-monotonic evolution schedule; and reads out a first final state of the analog processor. 38. The system of claim 37 wherein, in response to execution of the at least one of processor executable instructions or data, the at least one processor: for the first computational problem defined by the first problem Hamiltonian, during a second iteration on the first computational problem, the second iteration different from the first iteration: re-initializes an analog processor to the first state; evolves the analog processor under a second non-monotonic evolution schedule; and reads out a second final state of the analog processor. 39. The system of claim 38 wherein, in response to execution of the at least one of processor executable instructions or data, the at least one processor: returns the first final state with a first value associated with the first non-monotonic evolution schedule; and returns the second final state with a second value associated with the second non-monotonic evolution schedule. 40. The system of claim 38 wherein to evolve the analog processor under the first non-monotonic evolution schedule the at least one processor: causes the analog processor to evolve for a first time period in a first direction; and causes the analog processor to evolve for a second time period in a second direction, wherein the first direction and the second direction are opposite. 41. The system of claim 37 wherein to evolve the analog processor under the first non-monotonic evolution schedule the at least one processor: causes the analog processor to evolve for a third time period in a first direction. 42. The system of claim 37 wherein the first non-monotonic evolution schedule is a linear evolution schedule. 43. The system of claim 37 wherein the first non-monotonic evolution schedule is a non-linear evolution schedule. 44. The system of claim 37 wherein, in response to execution of the at least one of processor executable instructions or data, the at least one processor: prior to initializing the analog processor to the first state, initializes the analog processor to a zeroth state via application of a local bias value to a plurality of quantum devices in the analog processor; and evolves the analog processor to the first state under an instant Hamiltonian that includes a problem Hamiltonian wherein: the problem Hamiltonian has no local biases on the plurality of quantum devices, and the problem Hamiltonian has no couplings between the devices in the plurality of quantum devices. 45. The system of claim 37 wherein the analog processor comprises a plurality of quantum devices, a plurality of local bias devices to provide controllable local biases to the plurality of quantum devices, and a plurality of couplers to provide controllable communicative coupling between respective pairs of quantum devices in the plurality of quantum devices, and wherein, in response to execution of the at least one of processor executable instructions or data, the at least one processor: sets a local bias value for each local bias device in the plurality of local bias devices; and sets a coupling value for each coupler in the plurality of couplers. 46. A computational method, comprising: for a first computational problem defined by a problem Hamiltonian, during a first iteration by at least one processor on the first computational problem: initializing an analog processor to a first state; evolving the analog processor under a first non-monotonic evolution schedule; and reading out a first final state of the analog processor. 47. The method of claim 46, further comprising: for the first computational problem defined by the first problem Hamiltonian, during a second iteration by at least one processor on the first computational problem, the second iteration different from the first iteration: re-initializing an analog processor to the first state; evolving the analog processor under a second non-monotonic evolution schedule; and reading out a second final state of the analog processor. 48. The method of claim 47, further comprising: returning the first final state with a first value associated with the first non-monotonic evolution schedule; and returning the second final state with a second value associated with the second non-monotonic evolution schedule. 49. The method of claim 46, further comprising: causing the analog processor to evolve for a first time period in a first direction, by at least one processor; and causing the analog processor to evolve for a second time period in a second direction, by at least one processor, wherein the second direction is opposite the first direction. 50. The method of claim 46, further comprising: causing the analog processor to evolve for a third time period in a first direction, by at least one processor. 51. The method of claim 46 wherein evolving the analog processor under the first non-monotonic evolution schedule by at least one processor comprises evolving the analog processor under a linear evolution schedule by at least one processor. 52. The method of claim 46 wherein evolving the analog processor under the first non-monotonic evolution schedule by at least one processor comprises evolving the analog processor under a non-linear evolution schedule by at least one processor. 53. The method of claim 46, further comprising: prior to initializing the analog processor to the first state, initializing the analog processor to a zeroth state via application of a local bias value to a plurality of quantum devices in the analog processor; and evolving the analog processor to the first state under an instant Hamiltonian that includes a problem Hamiltonian wherein: the problem Hamiltonian has no local biases on the plurality of quantum devices, and the problem Hamiltonian has no couplings between the devices in the plurality of quantum devices. 54. The method of claim 46 wherein the analog processor comprises a plurality of quantum devices, a plurality of local bias devices to provide controllable local biases to the plurality of quantum devices, and a plurality of couplers to provide controllable communicative coupling between respective pairs of quantum devices in the plurality of quantum devices, the method further comprising: setting a local bias value for each local bias device in the plurality of local bias devices, by at least one processor; and setting a coupling value for each coupler in the plurality of couplers, by at least one processor. 55-103. (canceled)