Method for quantum-jump continuous-time quantum error correction

Abstract

Continuous-time quantum error correction (CTQEC) is a technique for protecting quantum information against decoherence, where both the decoherence and error correction processes are considered continuous in time. Given any [[n,k,d]] quantum stabilizer code, we formulate a class of protocols to implement CTQEC, involving weak coherent measurements and weak unitary corrections. Under this formalism, we show that the minimal required size of the ancillary system is n-k+1 qubits, and we propose one scheme that meets this minimal requirement. Furthermore, we compare our method with other known schemes, and show that a particular measure of performance described in this paper is better when using our method.

12 pages, 4 figures, corrected typos

References in corpus (6)

• A Straightforward Introduction to Continuous Quantum Measurement
• Quantum Error Correction
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• Bacon-Shor code with continuous measurement of non-commuting operators
• Continuous quantum error detection and suppression with pairwise local interactions
• Unraveling-paired dynamical maps can recover the input of quantum channels
• Continuous quantum correction on Markovian and Non-Markovian models