Discrete Wigner functions and the phase space representation of quantum computers

We show how to represent the state and the evolution of a quantum computer (or any system with an N-dimensional Hilbert space) in phase space. For this purpose we use a discrete version of the Wigner function which, for arbitrary N, is defined in a phase space grid of 2N × 2N points. We compute such...

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Autores principales: Bianucci, Pablo, Miquel, César, Paz, Juan Pablo, Saraceno, Marcos
Publicado: 2002
Materias:
algorithm
article
computer
mathematical computing
quantum mechanics
space
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v297_n5-6_p353_Bianucci
http://hdl.handle.net/20.500.12110/paper_03759601_v297_n5-6_p353_Bianucci
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03759601_v297_n5-6_p353_Bianucci
record_format dspace
spelling paper:paper_03759601_v297_n5-6_p353_Bianucci2025-07-30T18:15:19Z Discrete Wigner functions and the phase space representation of quantum computers Bianucci, Pablo Miquel, César Paz, Juan Pablo Saraceno, Marcos algorithm article computer mathematical computing quantum mechanics space We show how to represent the state and the evolution of a quantum computer (or any system with an N-dimensional Hilbert space) in phase space. For this purpose we use a discrete version of the Wigner function which, for arbitrary N, is defined in a phase space grid of 2N × 2N points. We compute such Wigner function for states which are relevant for quantum computation. Finally, we discuss properties of quantum algorithms in phase space and present the phase space representation of Grover’s quantum search algorithm. © 2002 Elsevier Science Ltd. All rights reserved. Fil:Bianucci, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Miquel, C. 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. Fil:Saraceno, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v297_n5-6_p353_Bianucci http://hdl.handle.net/20.500.12110/paper_03759601_v297_n5-6_p353_Bianucci
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic algorithm
article
computer
mathematical computing
quantum mechanics
space
spellingShingle algorithm
article
computer
mathematical computing
quantum mechanics
space
Bianucci, Pablo
Miquel, César
Paz, Juan Pablo
Saraceno, Marcos
Discrete Wigner functions and the phase space representation of quantum computers
topic_facet algorithm
article
computer
mathematical computing
quantum mechanics
space
description We show how to represent the state and the evolution of a quantum computer (or any system with an N-dimensional Hilbert space) in phase space. For this purpose we use a discrete version of the Wigner function which, for arbitrary N, is defined in a phase space grid of 2N × 2N points. We compute such Wigner function for states which are relevant for quantum computation. Finally, we discuss properties of quantum algorithms in phase space and present the phase space representation of Grover’s quantum search algorithm. © 2002 Elsevier Science Ltd. All rights reserved.
author Bianucci, Pablo
Miquel, César
Paz, Juan Pablo
Saraceno, Marcos
author_facet Bianucci, Pablo
Miquel, César
Paz, Juan Pablo
Saraceno, Marcos
author_sort Bianucci, Pablo
title Discrete Wigner functions and the phase space representation of quantum computers
title_short Discrete Wigner functions and the phase space representation of quantum computers
title_full Discrete Wigner functions and the phase space representation of quantum computers
title_fullStr Discrete Wigner functions and the phase space representation of quantum computers
title_full_unstemmed Discrete Wigner functions and the phase space representation of quantum computers
title_sort discrete wigner functions and the phase space representation of quantum computers
publishDate 2002
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v297_n5-6_p353_Bianucci
http://hdl.handle.net/20.500.12110/paper_03759601_v297_n5-6_p353_Bianucci
work_keys_str_mv AT bianuccipablo discretewignerfunctionsandthephasespacerepresentationofquantumcomputers
AT miquelcesar discretewignerfunctionsandthephasespacerepresentationofquantumcomputers
AT pazjuanpablo discretewignerfunctionsandthephasespacerepresentationofquantumcomputers
AT saracenomarcos discretewignerfunctionsandthephasespacerepresentationofquantumcomputers
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