Optically simulated universal quantum computation

Recently, classical optics based systems to emulate quantum information processing have been proposed. The analogy is based on the possibility of encoding a quantum state of a system with a 2N-dimensional Hilbert space as an image in the input of an optical system. The probability amplitude of each...

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Autores principales: Francisco, Diego Hernán, Ledesma, Silvia Adriana
Publicado: 2008
Materias:
Imaging and optical processing
Quantum information
Quantum teleportation
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0094243X_v992_n_p1061_Francisco
http://hdl.handle.net/20.500.12110/paper_0094243X_v992_n_p1061_Francisco
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_0094243X_v992_n_p1061_Francisco2023-06-08T15:09:26Z Optically simulated universal quantum computation Francisco, Diego Hernán Ledesma, Silvia Adriana Imaging and optical processing Quantum information Quantum teleportation Recently, classical optics based systems to emulate quantum information processing have been proposed. The analogy is based on the possibility of encoding a quantum state of a system with a 2N-dimensional Hilbert space as an image in the input of an optical system. The probability amplitude of each state of a certain basis is associated with the complex amplitude of the electromagnetic field in a given slice of the laser wavefront. Temporal evolution is represented as the change of the complex amplitude of the field when the wavefront pass through a certain optical arrangement. Different modules that represent universal gates for quantum computation have been implemented. For instance, unitary operations acting on the qbits space (or U(2) gates) are represented by means of two phase plates, two spherical lenses and a phase grating in a typical image processing set up. In this work, we present CNOT gates which are emulated by means of a cube prism that splits a pair of adjacent rays incoming from the input image. As an example of application, we present an optical module that can be used to simulate the quantum teleportation process. We also show experimental results that illustrate the validity of the analogy. Although the experimental results obtained are promising and show the capability of the system for simulate the real quantum process, we must take into account that any classical simulation of quantum phenomena, has as fundamental limitation the impossibility of representing non local entanglement. In this classical context, quantum teleportation has only an illustrative interpretation. © 2008 American Institute of Physics. Fil:Francisco, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Ledesma, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0094243X_v992_n_p1061_Francisco http://hdl.handle.net/20.500.12110/paper_0094243X_v992_n_p1061_Francisco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Imaging and optical processing
Quantum information
Quantum teleportation
spellingShingle Imaging and optical processing
Quantum information
Quantum teleportation
Francisco, Diego Hernán
Ledesma, Silvia Adriana
Optically simulated universal quantum computation
topic_facet Imaging and optical processing
Quantum information
Quantum teleportation
description Recently, classical optics based systems to emulate quantum information processing have been proposed. The analogy is based on the possibility of encoding a quantum state of a system with a 2N-dimensional Hilbert space as an image in the input of an optical system. The probability amplitude of each state of a certain basis is associated with the complex amplitude of the electromagnetic field in a given slice of the laser wavefront. Temporal evolution is represented as the change of the complex amplitude of the field when the wavefront pass through a certain optical arrangement. Different modules that represent universal gates for quantum computation have been implemented. For instance, unitary operations acting on the qbits space (or U(2) gates) are represented by means of two phase plates, two spherical lenses and a phase grating in a typical image processing set up. In this work, we present CNOT gates which are emulated by means of a cube prism that splits a pair of adjacent rays incoming from the input image. As an example of application, we present an optical module that can be used to simulate the quantum teleportation process. We also show experimental results that illustrate the validity of the analogy. Although the experimental results obtained are promising and show the capability of the system for simulate the real quantum process, we must take into account that any classical simulation of quantum phenomena, has as fundamental limitation the impossibility of representing non local entanglement. In this classical context, quantum teleportation has only an illustrative interpretation. © 2008 American Institute of Physics.
author Francisco, Diego Hernán
Ledesma, Silvia Adriana
author_facet Francisco, Diego Hernán
Ledesma, Silvia Adriana
author_sort Francisco, Diego Hernán
title Optically simulated universal quantum computation
title_short Optically simulated universal quantum computation
title_full Optically simulated universal quantum computation
title_fullStr Optically simulated universal quantum computation
title_full_unstemmed Optically simulated universal quantum computation
title_sort optically simulated universal quantum computation
publishDate 2008
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0094243X_v992_n_p1061_Francisco
http://hdl.handle.net/20.500.12110/paper_0094243X_v992_n_p1061_Francisco
work_keys_str_mv AT franciscodiegohernan opticallysimulateduniversalquantumcomputation
AT ledesmasilviaadriana opticallysimulateduniversalquantumcomputation
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