Reimpell, M., Werner, R. F. and Audenaert, K. (2006) Comment on "Optimum Quantum Error Recovery using Semidefinite Programming".
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In a recent paper ([1]=quant-ph/0606035) it is shown how the optimal recovery operation in an error correction scheme can be considered as a semidefinite program. As a possible future improvement it is noted that still better error correction might be obtained by optimizing the encoding as well. In this note we present the result of such an improvement, specifically for the four-bit correction of an amplitude damping channel considered in [1]. We get a strict improvement for almost all values of the damping parameter. The method (and the computer code) is taken from our earlier study of such correction schemes(quant-ph/0307138).
This is a Submitted version This version's date is: 7/6/2006 This item is not peer reviewed
https://repository.royalholloway.ac.uk/items/72c61a5f-89a2-b3e9-2e9b-c1e40e8f5c6c/3/
Deposited by Research Information System (atira) on 27-Jan-2013 in Royal Holloway Research Online.Last modified on 27-Jan-2013
2 pages, 1 figure