Qubits in phase space: Wigner-function approach to quantum-error correction and the mean-king problem

Journal Article · Fri Jul 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.012309· OSTI ID:20718317

Paz, Juan Pablo; Roncaglia, Augusto Jose ^[1]; Saraceno, Marcos ^[2]

---

1. Departamento de Fisica, FCEyN, UBA, Pabellon 1, Ciudad Universitaria, 1428 Buenos Aires (Argentina)
2. Unidad de Actividad Fisica, Tandar, CNEA, Buenos Aires (Argentina)

We analyze and further develop a method to represent the quantum state of a system of n qubits in a phase-space grid of NxN points (where N=2{sup n}). The method, which was recently proposed by Wootters and co-workers (Gibbons et al., Phys. Rev. A 70, 062101 (2004).), is based on the use of the elements of the finite field GF(2{sup n}) 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.

• OSTI ID: 20718317
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 72; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRECTIONS
ERRORS
INFORMATION THEORY
MATHEMATICAL SOLUTIONS
PHASE SPACE
QUANTUM COMPUTERS
QUANTUM MECHANICS
QUBITS