Quantum Error Correction of Time-correlated Errors |
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Authors: | Feng Lu Dan C Marinescu |
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Affiliation: | (1) School of Electrical Engineering and Computer Science, University of Central Florida, P. O. Box 162362, Orlando, FL 32816-2362, USA |
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Abstract: | The complexity of the error correction circuitry forces us to design quantum error correction codes capable of correcting
a single error per error correction cycle. Yet, time-correlated error are common for physical implementations of quantum systems;
an error corrected during the previous cycle may reoccur later due to physical processes specific for each physical implementation
of the qubits. In this paper, we study quantum error correction for a restricted class of time-correlated errors in a spin-boson
model. The algorithm we propose allows the correction of two errors per error correction cycle, provided that one of them
is time-correlated. The algorithm can be applied to any stabilizer code when the two logical qubits and are entangled states of 2
n
basis states in .
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Keywords: | quantum information error correction time-correlated stabilizer code |
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