Simulating a quantum walk with classical optics

We present an optical module to simulate one step of a quantum walk algorithm. The quantum state of a system with a 2N -dimensional Hilbert space is encoded in the spatial distribution of the amplitude of the electromagnetic field in a plane. In such spatial encoding, the probability amplitude of ea...

Descripción completa

Detalles Bibliográficos
Autores principales:	Francisco, Diego Hernán, Iemmi, Claudio César, Paz, Juan Pablo, Ledesma, Silvia Adriana
Publicado:	2006
Materias:	Algorithms Electromagnetic fields Optical devices Optics Probability Wavefronts N -dimensional quantum walker Quantum states Quantum walk algorithm Two-dimensional quantum coin Quantum theory
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v74_n5_p_Francisco http://hdl.handle.net/20.500.12110/paper_10502947_v74_n5_p_Francisco
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_10502947_v74_n5_p_Francisco
record_format	dspace
spelling	paper:paper_10502947_v74_n5_p_Francisco2023-06-08T16:02:23Z Simulating a quantum walk with classical optics Francisco, Diego Hernán Iemmi, Claudio César Paz, Juan Pablo Ledesma, Silvia Adriana Algorithms Electromagnetic fields Optical devices Optics Probability Wavefronts N -dimensional quantum walker Quantum states Quantum walk algorithm Two-dimensional quantum coin Quantum theory We present an optical module to simulate one step of a quantum walk algorithm. The quantum state of a system with a 2N -dimensional Hilbert space is encoded in the spatial distribution of the amplitude of the electromagnetic field in a plane. In such spatial encoding, the probability amplitude of each state of a basis is associated with the complex electromagnetic amplitude in a given slice of the laser wave front. We discuss the design and operation of an optical module that is used to implement one step of a quantum walk algorithm. Using this module, composed by standard optical elements, the evolution of the quantum state corresponds to the application of a Hadamard gate on a single qubit (representing the two-dimensional quantum coin) followed by a displacement of the N -dimensional quantum walker conditioned on the state of the coin. We show the actual implementation of the method and discuss its characteristics and limitations. © 2006 The American Physical Society. Fil:Francisco, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Iemmi, 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:Ledesma, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v74_n5_p_Francisco http://hdl.handle.net/20.500.12110/paper_10502947_v74_n5_p_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	Algorithms Electromagnetic fields Optical devices Optics Probability Wavefronts N -dimensional quantum walker Quantum states Quantum walk algorithm Two-dimensional quantum coin Quantum theory
spellingShingle	Algorithms Electromagnetic fields Optical devices Optics Probability Wavefronts N -dimensional quantum walker Quantum states Quantum walk algorithm Two-dimensional quantum coin Quantum theory Francisco, Diego Hernán Iemmi, Claudio César Paz, Juan Pablo Ledesma, Silvia Adriana Simulating a quantum walk with classical optics
topic_facet	Algorithms Electromagnetic fields Optical devices Optics Probability Wavefronts N -dimensional quantum walker Quantum states Quantum walk algorithm Two-dimensional quantum coin Quantum theory
description	We present an optical module to simulate one step of a quantum walk algorithm. The quantum state of a system with a 2N -dimensional Hilbert space is encoded in the spatial distribution of the amplitude of the electromagnetic field in a plane. In such spatial encoding, the probability amplitude of each state of a basis is associated with the complex electromagnetic amplitude in a given slice of the laser wave front. We discuss the design and operation of an optical module that is used to implement one step of a quantum walk algorithm. Using this module, composed by standard optical elements, the evolution of the quantum state corresponds to the application of a Hadamard gate on a single qubit (representing the two-dimensional quantum coin) followed by a displacement of the N -dimensional quantum walker conditioned on the state of the coin. We show the actual implementation of the method and discuss its characteristics and limitations. © 2006 The American Physical Society.
author	Francisco, Diego Hernán Iemmi, Claudio César Paz, Juan Pablo Ledesma, Silvia Adriana
author_facet	Francisco, Diego Hernán Iemmi, Claudio César Paz, Juan Pablo Ledesma, Silvia Adriana
author_sort	Francisco, Diego Hernán
title	Simulating a quantum walk with classical optics
title_short	Simulating a quantum walk with classical optics
title_full	Simulating a quantum walk with classical optics
title_fullStr	Simulating a quantum walk with classical optics
title_full_unstemmed	Simulating a quantum walk with classical optics
title_sort	simulating a quantum walk with classical optics
publishDate	2006
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v74_n5_p_Francisco http://hdl.handle.net/20.500.12110/paper_10502947_v74_n5_p_Francisco
work_keys_str_mv	AT franciscodiegohernan simulatingaquantumwalkwithclassicaloptics AT iemmiclaudiocesar simulatingaquantumwalkwithclassicaloptics AT pazjuanpablo simulatingaquantumwalkwithclassicaloptics AT ledesmasilviaadriana simulatingaquantumwalkwithclassicaloptics
_version_	1768546263677009920

Simulating a quantum walk with classical optics

Ejemplares similares