# Convergence condition of simulated quantum annealing for closed and open systems

@article{Kimura2022ConvergenceCO, title={Convergence condition of simulated quantum annealing for closed and open systems}, author={Yusuke Kimura and Hidetoshi Nishimori}, journal={Physical Review A}, year={2022} }

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…

## One Citation

### Convergence condition of simulated quantum annealing with a non-stoquastic catalyst

- Mathematics
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The Ising model with a transverse field and an antiferromagnetic transverse interaction is represented as a matrix in the computational basis with non-zero off-diagonal elements with both positive…

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