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Quantum Gibbs Sampling /
~
Chen, Chi-Fang,
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Quantum Gibbs Sampling /
Record Type:
Electronic resources : Monograph/item
Title/Author:
Quantum Gibbs Sampling // Chi-Fang Chen.
Author:
Chen, Chi-Fang,
Description:
1 electronic resource (345 pages)
Notes:
Source: Dissertations Abstracts International, Volume: 86-05, Section: B.
Contained By:
Dissertations Abstracts International86-05B.
Subject:
Quantum computing. -
Online resource:
https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31657130
ISBN:
9798346392088
Quantum Gibbs Sampling /
Chen, Chi-Fang,
Quantum Gibbs Sampling /
Chi-Fang Chen. - 1 electronic resource (345 pages)
Source: Dissertations Abstracts International, Volume: 86-05, Section: B.
Markov Chain Monte Carlo algorithms are indispensable in classical thermodynamic simulation, perhaps due to their mathematical simplicity, algorithmic efficiency, and physical origin. In particular, Glauber dynamics is a detailed-balanced continuous-time Markov chain that fixes the Gibbs distribution and also serves as a mathematically succinct model of classical thermalization. In this thesis, we proposed a quantum computation analog of Glauber dynamics that is exactly detailed balanced yet algorithmic efficient, inherits the locality of the target Hamiltonian, and resembles Davies'-like generators physically derived from a weak system-bath coupling. We hope our proposal will serve as a quantum algorithm for quantum thermodynamic simulation and a model of open system thermalization where a suitable construction has been lacking for noncommuting Hamiltonians.
English
ISBN: 9798346392088Subjects--Topical Terms:
2115803
Quantum computing.
Quantum Gibbs Sampling /
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Markov Chain Monte Carlo algorithms are indispensable in classical thermodynamic simulation, perhaps due to their mathematical simplicity, algorithmic efficiency, and physical origin. In particular, Glauber dynamics is a detailed-balanced continuous-time Markov chain that fixes the Gibbs distribution and also serves as a mathematically succinct model of classical thermalization. In this thesis, we proposed a quantum computation analog of Glauber dynamics that is exactly detailed balanced yet algorithmic efficient, inherits the locality of the target Hamiltonian, and resembles Davies'-like generators physically derived from a weak system-bath coupling. We hope our proposal will serve as a quantum algorithm for quantum thermodynamic simulation and a model of open system thermalization where a suitable construction has been lacking for noncommuting Hamiltonians.
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https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31657130
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