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
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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
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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
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Volumen: | 74
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Número: | 5
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DOI: |
http://dx.doi.org/10.1103/PhysRevA.74.052327 |
Título revista: | Physical Review A - Atomic, Molecular, and Optical Physics
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Título revista abreviado: | Phys Rev A
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ISSN: | 10502947
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CODEN: | PLRAA
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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