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記
日時：２０１９年１２月１８日（水）１３時３０分〜 Wed, Nov 27, 1:30pm
場所：東京大学 生産技術研究所 千葉実験所 研究実験棟Ｉn210号室
道程：http://hatano-lab.iis.u-tokyo.ac.jp/access-j.html (English: hatano-lab.iis.u-tokyo.ac.jp/access-e.html)
講師：鈴木正さん (埼玉医科大学) Dr. Sei Suzuki (Saitama Medical U.)
演題：Quantum annealing in a thermal environment
要旨：Quantum annealing is a quantum computing algorithm specific to optimization problems of seeking the optimum item from many others. Since D-Wave’s quantum annealing machine has been developed, quantum annealing has attracted quite a lot of attentions. Quantum annealing was originally proposed for an isolated quantum spin system. However, systems realized in quantum annealing machines interact with an environment. Hence it is important to study quantum annealing in an environment. We at first developed a numerical method to compute time evolution of a reduced density matrix for spins in a one-dimensional transverse Ising model coupled to a bosonic bath, using the time evolving block decimation (TEBD) or infinite TEBD (iTEBD) method and the quasi-adiabatic propagator path integral (QUAPI) formalism. This method enables one to compute time evolution of systems with O(10^2) spins or infinite homogeneous systems without relying on the Markov approximation. We then studi
ed quantum annealing in the thermal environment with a finite temperature with our method. If quantum annealing is performed with infinitely long time in a thermal environment, the spin system would evolve quasi-statically. When it is done with a finite speed, the quasi-static evolution breaks at some time and the spin system is frozen there. We confirmed this and found that the freezing time and the energy after annealing obey a universal scaling law.
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