Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits
Finite-time isothermal processes are ubiquitous in quantum-heat-engine cycles, yet complicated due to the coexistence of the changing Hamiltonian and the interaction with the thermal bath. Such complexity prevents classical thermodynamic measurements of a performed work. In this paper, the isotherma...
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MDPI AG
2021-03-01
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Online Access: | https://www.mdpi.com/1099-4300/23/3/353 |
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author | Jin-Fu Chen Ying Li Hui Dong |
author_facet | Jin-Fu Chen Ying Li Hui Dong |
author_sort | Jin-Fu Chen |
collection | DOAJ |
description | Finite-time isothermal processes are ubiquitous in quantum-heat-engine cycles, yet complicated due to the coexistence of the changing Hamiltonian and the interaction with the thermal bath. Such complexity prevents classical thermodynamic measurements of a performed work. In this paper, the isothermal process is decomposed into piecewise adiabatic and isochoric processes to measure the performed work as the internal energy change in adiabatic processes. The piecewise control scheme allows the direct simulation of the whole process on a universal quantum computer, which provides a new experimental platform to study quantum thermodynamics. We implement the simulation on ibmqx2 to show the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo>/</mo><mi>τ</mi></mrow></semantics></math></inline-formula> scaling of the extra work in finite-time isothermal processes. |
first_indexed | 2024-03-10T13:11:48Z |
format | Article |
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institution | Directory Open Access Journal |
issn | 1099-4300 |
language | English |
last_indexed | 2024-03-10T13:11:48Z |
publishDate | 2021-03-01 |
publisher | MDPI AG |
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series | Entropy |
spelling | doaj.art-9997450f59744c14a99209a9ee7727582023-11-21T10:43:19ZengMDPI AGEntropy1099-43002021-03-0123335310.3390/e23030353Simulating Finite-Time Isothermal Processes with Superconducting Quantum CircuitsJin-Fu Chen0Ying Li1Hui Dong2Beijing Computational Science Research Center, Beijing 100193, ChinaGraduate School of China Academy of Engineering Physics, No. 10 Xibeiwang East Road, Haidian District, Beijing 100193, ChinaGraduate School of China Academy of Engineering Physics, No. 10 Xibeiwang East Road, Haidian District, Beijing 100193, ChinaFinite-time isothermal processes are ubiquitous in quantum-heat-engine cycles, yet complicated due to the coexistence of the changing Hamiltonian and the interaction with the thermal bath. Such complexity prevents classical thermodynamic measurements of a performed work. In this paper, the isothermal process is decomposed into piecewise adiabatic and isochoric processes to measure the performed work as the internal energy change in adiabatic processes. The piecewise control scheme allows the direct simulation of the whole process on a universal quantum computer, which provides a new experimental platform to study quantum thermodynamics. We implement the simulation on ibmqx2 to show the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1</mn><mo>/</mo><mi>τ</mi></mrow></semantics></math></inline-formula> scaling of the extra work in finite-time isothermal processes.https://www.mdpi.com/1099-4300/23/3/353quantum thermodynamicsquantum circuitopen quantum systemisothermal processIBM quantum computer |
spellingShingle | Jin-Fu Chen Ying Li Hui Dong Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits Entropy quantum thermodynamics quantum circuit open quantum system isothermal process IBM quantum computer |
title | Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits |
title_full | Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits |
title_fullStr | Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits |
title_full_unstemmed | Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits |
title_short | Simulating Finite-Time Isothermal Processes with Superconducting Quantum Circuits |
title_sort | simulating finite time isothermal processes with superconducting quantum circuits |
topic | quantum thermodynamics quantum circuit open quantum system isothermal process IBM quantum computer |
url | https://www.mdpi.com/1099-4300/23/3/353 |
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