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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| Autores principales: | , , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10502947_v72_n1_p_Paz |
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| Sumario: | 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. |
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