Work measurement as a generalized quantum measurement

We present a new method to measure the work w performed on a driven quantum system and to sample its probability distribution P(w). The method is based on a simple fact that remained unnoticed until now: Work on a quantum system can be measured by performing a generalized quantum measurement at a si...

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Autores principales: Roncaglia, Augusto José, Paz, Juan Pablo
Publicado: 2014
Materias:
Productivity
Quantum computers
Quantum electronics
Quantum optics
Fluctuation theorems
Positive operator valued measure
Projective measurement
Quantum algorithms
Quantum measurement
Quantum state
Quantum system
Work measurement
Probability distributions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v113_n25_p_Roncaglia
http://hdl.handle.net/20.500.12110/paper_00319007_v113_n25_p_Roncaglia
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00319007_v113_n25_p_Roncaglia
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spelling paper:paper_00319007_v113_n25_p_Roncaglia2023-06-08T14:58:11Z Work measurement as a generalized quantum measurement Roncaglia, Augusto José Paz, Juan Pablo Productivity Quantum computers Quantum electronics Quantum optics Fluctuation theorems Positive operator valued measure Projective measurement Quantum algorithms Quantum measurement Quantum state Quantum system Work measurement Probability distributions We present a new method to measure the work w performed on a driven quantum system and to sample its probability distribution P(w). The method is based on a simple fact that remained unnoticed until now: Work on a quantum system can be measured by performing a generalized quantum measurement at a single time. Such measurement, which technically speaking is denoted as a positive operator valued measure reduces to an ordinary projective measurement on an enlarged system. This observation not only demystifies work measurement but also suggests a new quantum algorithm to efficiently sample the distribution P(w). This can be used, in combination with fluctuation theorems, to estimate free energies of quantum states on a quantum computer. © 2014 American Physical Society. Fil:Roncaglia, A.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v113_n25_p_Roncaglia http://hdl.handle.net/20.500.12110/paper_00319007_v113_n25_p_Roncaglia
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Productivity
Quantum computers
Quantum electronics
Quantum optics
Fluctuation theorems
Positive operator valued measure
Projective measurement
Quantum algorithms
Quantum measurement
Quantum state
Quantum system
Work measurement
Probability distributions
spellingShingle Productivity
Quantum computers
Quantum electronics
Quantum optics
Fluctuation theorems
Positive operator valued measure
Projective measurement
Quantum algorithms
Quantum measurement
Quantum state
Quantum system
Work measurement
Probability distributions
Roncaglia, Augusto José
Paz, Juan Pablo
Work measurement as a generalized quantum measurement
topic_facet Productivity
Quantum computers
Quantum electronics
Quantum optics
Fluctuation theorems
Positive operator valued measure
Projective measurement
Quantum algorithms
Quantum measurement
Quantum state
Quantum system
Work measurement
Probability distributions
description We present a new method to measure the work w performed on a driven quantum system and to sample its probability distribution P(w). The method is based on a simple fact that remained unnoticed until now: Work on a quantum system can be measured by performing a generalized quantum measurement at a single time. Such measurement, which technically speaking is denoted as a positive operator valued measure reduces to an ordinary projective measurement on an enlarged system. This observation not only demystifies work measurement but also suggests a new quantum algorithm to efficiently sample the distribution P(w). This can be used, in combination with fluctuation theorems, to estimate free energies of quantum states on a quantum computer. © 2014 American Physical Society.
author Roncaglia, Augusto José
Paz, Juan Pablo
author_facet Roncaglia, Augusto José
Paz, Juan Pablo
author_sort Roncaglia, Augusto José
title Work measurement as a generalized quantum measurement
title_short Work measurement as a generalized quantum measurement
title_full Work measurement as a generalized quantum measurement
title_fullStr Work measurement as a generalized quantum measurement
title_full_unstemmed Work measurement as a generalized quantum measurement
title_sort work measurement as a generalized quantum measurement
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v113_n25_p_Roncaglia
http://hdl.handle.net/20.500.12110/paper_00319007_v113_n25_p_Roncaglia
work_keys_str_mv AT roncagliaaugustojose workmeasurementasageneralizedquantummeasurement
AT pazjuanpablo workmeasurementasageneralizedquantummeasurement
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