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Francisco, D.; Iemmi, C.; Paz, J.P.; Ledesma, S. "Simulating a quantum walk with classical optics" (2006) Physical Review A - Atomic, Molecular, and Optical Physics. 74(5)
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Abstract:

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.

Registro:

Documento: Artículo
Título:Simulating a quantum walk with classical optics
Autor:Francisco, D.; Iemmi, C.; Paz, J.P.; Ledesma, S.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
Palabras clave:Algorithms; Electromagnetic fields; Optical devices; Optics; Probability; Wavefronts; N -dimensional quantum walker; Quantum states; Quantum walk algorithm; Two-dimensional quantum coin; Quantum theory
Año:2006
Volumen:74
Número:5
DOI: http://dx.doi.org/10.1103/PhysRevA.74.052327
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v74_n5_p_Francisco

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Citas:

---------- APA ----------
Francisco, D., Iemmi, C., Paz, J.P. & Ledesma, S. (2006) . Simulating a quantum walk with classical optics. Physical Review A - Atomic, Molecular, and Optical Physics, 74(5).
http://dx.doi.org/10.1103/PhysRevA.74.052327
---------- CHICAGO ----------
Francisco, D., Iemmi, C., Paz, J.P., Ledesma, S. "Simulating a quantum walk with classical optics" . Physical Review A - Atomic, Molecular, and Optical Physics 74, no. 5 (2006).
http://dx.doi.org/10.1103/PhysRevA.74.052327
---------- MLA ----------
Francisco, D., Iemmi, C., Paz, J.P., Ledesma, S. "Simulating a quantum walk with classical optics" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 74, no. 5, 2006.
http://dx.doi.org/10.1103/PhysRevA.74.052327
---------- VANCOUVER ----------
Francisco, D., Iemmi, C., Paz, J.P., Ledesma, S. Simulating a quantum walk with classical optics. Phys Rev A. 2006;74(5).
http://dx.doi.org/10.1103/PhysRevA.74.052327