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Quantum error correction via robust probe modes

Yamaguchi, Fumiko; Nemoto, Kae; Munro, William J.;


Keyword(s): quantum error correction; quantum computation and communication

Abstract: We propose a new 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 3-qubit bit-flip (phase-flip) code, the Shor code, and an erasure code. Notes: Fumiko Yamaguchi, Edward L.Ginzton Laboratory, Stanford University, Stanford, CA 94305, USA. Kae Nemoto, National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan

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