Quantum computers in phase space

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We represent both the states and the evolution of a quantum computer in phase space using the discrete Wigner function. We study properties of the phase space representation of quantum algorithms: apart from analyzing important examples, such as the Fourier transform and Grover’s search, we examine...

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Autores principales: Miquel, C., Paz, J.P., Saraceno, M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10502947_v65_n6_p14_Miquel
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10502947_v65_n6_p14_Miquel
record_format dspace
spelling todo:paper_10502947_v65_n6_p14_Miquel2023-10-03T15:59:23Z Quantum computers in phase space Miquel, C. Paz, J.P. Saraceno, M. We represent both the states and the evolution of a quantum computer in phase space using the discrete Wigner function. We study properties of the phase space representation of quantum algorithms: apart from analyzing important examples, such as the Fourier transform and Grover’s search, we examine the conditions for the existence of a direct correspondence between quantum and classical evolutions in phase space. Finally, we describe how to measure directly the Wigner function in a given phase-space point by means of a tomographic method that, itself, can be interpreted as a simple quantum algorithm. © 2002 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v65_n6_p14_Miquel
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We represent both the states and the evolution of a quantum computer in phase space using the discrete Wigner function. We study properties of the phase space representation of quantum algorithms: apart from analyzing important examples, such as the Fourier transform and Grover’s search, we examine the conditions for the existence of a direct correspondence between quantum and classical evolutions in phase space. Finally, we describe how to measure directly the Wigner function in a given phase-space point by means of a tomographic method that, itself, can be interpreted as a simple quantum algorithm. © 2002 The American Physical Society.
format JOUR
author Miquel, C.
Paz, J.P.
Saraceno, M.
spellingShingle Miquel, C.
Paz, J.P.
Saraceno, M.
Quantum computers in phase space
author_facet Miquel, C.
Paz, J.P.
Saraceno, M.
author_sort Miquel, C.
title Quantum computers in phase space
title_short Quantum computers in phase space
title_full Quantum computers in phase space
title_fullStr Quantum computers in phase space
title_full_unstemmed Quantum computers in phase space
title_sort quantum computers in phase space
url http://hdl.handle.net/20.500.12110/paper_10502947_v65_n6_p14_Miquel
work_keys_str_mv AT miquelc quantumcomputersinphasespace
AT pazjp quantumcomputersinphasespace
AT saracenom quantumcomputersinphasespace
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