Quantum computers in phase space
We represent both the states and the evolution of a quantum computer in phase space using the discrete Wigner function. We study properties of the phase space representation of quantum algorithms: apart from analyzing important examples, such as the Fourier transform and Grover’s search, we examine...
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2002
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v65_n6_p14_Miquel http://hdl.handle.net/20.500.12110/paper_10502947_v65_n6_p14_Miquel |
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paper:paper_10502947_v65_n6_p14_Miquel |
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paper:paper_10502947_v65_n6_p14_Miquel2023-06-08T16:02:00Z Quantum computers in phase space We represent both the states and the evolution of a quantum computer in phase space using the discrete Wigner function. We study properties of the phase space representation of quantum algorithms: apart from analyzing important examples, such as the Fourier transform and Grover’s search, we examine the conditions for the existence of a direct correspondence between quantum and classical evolutions in phase space. Finally, we describe how to measure directly the Wigner function in a given phase-space point by means of a tomographic method that, itself, can be interpreted as a simple quantum algorithm. © 2002 The American Physical Society. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v65_n6_p14_Miquel http://hdl.handle.net/20.500.12110/paper_10502947_v65_n6_p14_Miquel |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
We represent both the states and the evolution of a quantum computer in phase space using the discrete Wigner function. We study properties of the phase space representation of quantum algorithms: apart from analyzing important examples, such as the Fourier transform and Grover’s search, we examine the conditions for the existence of a direct correspondence between quantum and classical evolutions in phase space. Finally, we describe how to measure directly the Wigner function in a given phase-space point by means of a tomographic method that, itself, can be interpreted as a simple quantum algorithm. © 2002 The American Physical Society. |
| title |
Quantum computers in phase space |
| spellingShingle |
Quantum computers in phase space |
| title_short |
Quantum computers in phase space |
| title_full |
Quantum computers in phase space |
| title_fullStr |
Quantum computers in phase space |
| title_full_unstemmed |
Quantum computers in phase space |
| title_sort |
quantum computers in phase space |
| publishDate |
2002 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v65_n6_p14_Miquel http://hdl.handle.net/20.500.12110/paper_10502947_v65_n6_p14_Miquel |
| _version_ |
1768541664690831360 |