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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2008
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0094243X_v992_n_p1061_Francisco https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0094243X_v992_n_p1061_Francisco_oai |
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I28-R145-paper_0094243X_v992_n_p1061_Francisco_oai2024-08-16 Francisco, D. Ledesma, S. 2008 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. application/pdf http://hdl.handle.net/20.500.12110/paper_0094243X_v992_n_p1061_Francisco info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar AIP Conf. Proc. 2008;992:1061-1066 Imaging and optical processing Quantum information Quantum teleportation Optically simulated universal quantum computation info:eu-repo/semantics/conferenceObject info:ar-repo/semantics/documento de conferencia info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0094243X_v992_n_p1061_Francisco_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| topic |
Imaging and optical processing Quantum information Quantum teleportation |
| spellingShingle |
Imaging and optical processing Quantum information Quantum teleportation Francisco, D. Ledesma, S. 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. |
| format |
Documento de conferencia Documento de conferencia publishedVersion |
| author |
Francisco, D. Ledesma, S. |
| author_facet |
Francisco, D. Ledesma, S. |
| author_sort |
Francisco, D. |
| 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 |
http://hdl.handle.net/20.500.12110/paper_0094243X_v992_n_p1061_Francisco https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0094243X_v992_n_p1061_Francisco_oai |
| work_keys_str_mv |
AT franciscod opticallysimulateduniversalquantumcomputation AT ledesmas opticallysimulateduniversalquantumcomputation |
| _version_ |
1809356897836335104 |