Approximate quantum error correction

2001/12/18 by Benjamin Schumacher, Schumacher, Benjamin, Michael D. Westmoreland +1 · 10 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0112106

9 pages, LaTeX

arxiv created 2001/12/18 · arxiv updated 2009/12/01

Abstract

The errors that arise in a quantum channel can be corrected perfectly if and only if the channel does not decrease the coherent information of the input state. We show that, if the loss of coherent information is small, then approximate error correction is possible.

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• Approximate quantum error correction, eigenstate thermalization and the chaos bound
• Universal decay of (conditional) mutual information in gapped pure- and mixed-state quantum matter
• Fractional quantum Hall states under density decoherence
• Optimal Quantum Information Transmission Under a Continuous-Variable Erasure Channel
• State-adaptive quantum error correction and fault-tolerant quantum computing
• Random approximate quantum information masking
• On approximate quantum error correction for symmetric noise

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