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- W4311894727 abstract "Simulated quantum annealing is a generic classical protocol to simulate some aspects of quantum annealing and is sometimes regarded as a classical alternative to quantum annealing in finding the ground state of a classical Ising model. We derive a generic condition for simulated quantum annealing to converge to thermal equilibrium at a given, typically low, temperature. Both closed and open systems are treated. We rewrite the classical master equation for simulated quantum annealing into an imaginary-time Schrodinger equation, to which we apply the imaginary-time variant of asymptotic adiabatic condition to deduce the convergence condition. The result agrees qualitatively with a rigorous convergence condition of simulated quantum annealing for closed systems, which was derived from the theory of inhomogeneous Markov process. Also observed is qualitative agreement with a rigorous convergence condition of quantum annealing for closed systems under the real-time Schrodinger dynamics. This coincidence of convergence conditions for classical stochastic processes for simulated quantum annealing and the real-time quantum dynamics for quantum annealing is highly non-trivial and calls for further scrutiny." @default.
- W4311894727 created "2023-01-02" @default.
- W4311894727 creator A5057513894 @default.
- W4311894727 creator A5061390903 @default.
- W4311894727 date "2022-12-19" @default.
- W4311894727 modified "2023-10-18" @default.
- W4311894727 title "Convergence condition of simulated quantum annealing for closed and open systems" @default.
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- W4311894727 doi "https://doi.org/10.1103/physreva.106.062614" @default.
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