Qubits in phase space: Wigner-function approach to quantum-error correction and the mean-king problem
We analyze and further develop a method to represent the quantum state of a system of qubits in a phase-space grid of points where . The method, which was recently proposed by Wootters and co-workers (Gibbons, Phys. Rev. A 70, 062101 (2004).), is based on the use of the elements of the finite field...
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2005
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v72_n1_p_Paz http://hdl.handle.net/20.500.12110/paper_10502947_v72_n1_p_Paz |
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paper:paper_10502947_v72_n1_p_Paz2023-06-08T16:02:16Z Qubits in phase space: Wigner-function approach to quantum-error correction and the mean-king problem Paz, Juan Pablo Roncaglia, Augusto José Saraceno, Marcos Phase-space axes Quantum error-correction codes Quantum-information theory Error analysis Information theory Problem solving Quantum theory We analyze and further develop a method to represent the quantum state of a system of qubits in a phase-space grid of points where . The method, which was recently proposed by Wootters and co-workers (Gibbons, Phys. Rev. A 70, 062101 (2004).), is based on the use of the elements of the finite field to label the phase-space axes. We present a self-contained overview of the method, we give insights into some of its features, and we apply it to investigate problems which are of interest for quantum-information theory: We analyze the phase-space representation of stabilizer states and quantum error-correction codes and present a phase-space solution to the so-called mean king problem. © 2005 The American Physical Society. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Roncaglia, A.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Saraceno, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v72_n1_p_Paz http://hdl.handle.net/20.500.12110/paper_10502947_v72_n1_p_Paz |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Phase-space axes Quantum error-correction codes Quantum-information theory Error analysis Information theory Problem solving Quantum theory |
| spellingShingle |
Phase-space axes Quantum error-correction codes Quantum-information theory Error analysis Information theory Problem solving Quantum theory Paz, Juan Pablo Roncaglia, Augusto José Saraceno, Marcos Qubits in phase space: Wigner-function approach to quantum-error correction and the mean-king problem |
| topic_facet |
Phase-space axes Quantum error-correction codes Quantum-information theory Error analysis Information theory Problem solving Quantum theory |
| description |
We analyze and further develop a method to represent the quantum state of a system of qubits in a phase-space grid of points where . The method, which was recently proposed by Wootters and co-workers (Gibbons, Phys. Rev. A 70, 062101 (2004).), is based on the use of the elements of the finite field to label the phase-space axes. We present a self-contained overview of the method, we give insights into some of its features, and we apply it to investigate problems which are of interest for quantum-information theory: We analyze the phase-space representation of stabilizer states and quantum error-correction codes and present a phase-space solution to the so-called mean king problem. © 2005 The American Physical Society. |
| author |
Paz, Juan Pablo Roncaglia, Augusto José Saraceno, Marcos |
| author_facet |
Paz, Juan Pablo Roncaglia, Augusto José Saraceno, Marcos |
| author_sort |
Paz, Juan Pablo |
| title |
Qubits in phase space: Wigner-function approach to quantum-error correction and the mean-king problem |
| title_short |
Qubits in phase space: Wigner-function approach to quantum-error correction and the mean-king problem |
| title_full |
Qubits in phase space: Wigner-function approach to quantum-error correction and the mean-king problem |
| title_fullStr |
Qubits in phase space: Wigner-function approach to quantum-error correction and the mean-king problem |
| title_full_unstemmed |
Qubits in phase space: Wigner-function approach to quantum-error correction and the mean-king problem |
| title_sort |
qubits in phase space: wigner-function approach to quantum-error correction and the mean-king problem |
| publishDate |
2005 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v72_n1_p_Paz http://hdl.handle.net/20.500.12110/paper_10502947_v72_n1_p_Paz |
| work_keys_str_mv |
AT pazjuanpablo qubitsinphasespacewignerfunctionapproachtoquantumerrorcorrectionandthemeankingproblem AT roncagliaaugustojose qubitsinphasespacewignerfunctionapproachtoquantumerrorcorrectionandthemeankingproblem AT saracenomarcos qubitsinphasespacewignerfunctionapproachtoquantumerrorcorrectionandthemeankingproblem |
| _version_ |
1768544514394292224 |