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Phys. Rev. A 73, 060302(R) (2006) [4 pages]

Quantum error correction via robust probe modes

Fumiko Yamaguchi,1 Kae Nemoto,2 and William J. Munro3
1E. L. Ginzton Laboratory, Stanford University, Stanford, California 94305, USA
2National Institute of Informatics, Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan
3Hewlett-Packard Laboratories, Filton Road, Stoke Gifford, Bristol, BS34 8QZ, United Kingdom

Rapid Received 9 November 2005; published 2 June 2006

We propose a scheme for quantum error correction using robust continuous variable probe modes, rather than fragile ancilla qubits, to detect errors without destroying data qubits. The use of such probe modes reduces the required number of expensive qubits in error correction and allows efficient encoding, error detection, and error correction. Moreover, the elimination of the need for direct qubit interactions significantly simplifies the construction of quantum circuits. We will illustrate how the approach implements three existing quantum error correcting codes: the three-qubit bit-flip (phase-flip) code, the Shor code, and an erasure code.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.73.060302
DOI: 10.1103/PhysRevA.73.060302
PACS: 03.67.Pp; 03.67.Lx; 42.65.-k
  • 03.67.Pp
    Quantum error correction and other methods for protection against decoherence
  • 03.67.Lx
    Quantum computation
  • 42.65.-k
    Nonlinear optics
  • YEAR: 2006
KEYWORDS: quantum computing, error correction, error detection, security of data, information theory

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