Physics – Quantum Physics
Scientific paper
2006-06-09
Quant. Inf. Proc. 8, 443 (2009)
Physics
Quantum Physics
16 pages
Scientific paper
10.1007/s11128-009-0120-2
We show that the problem of designing a quantum information error correcting procedure can be cast as a bi-convex optimization problem, iterating between encoding and recovery, each being a semidefinite program. For a given encoding operator the problem is convex in the recovery operator. For a given method of recovery, the problem is convex in the encoding scheme. This allows us to derive new codes that are locally optimal. We present examples of such codes that can handle errors which are too strong for codes derived by analogy to classical error correction techniques.
Kosut Robert L.
Lidar Daniel A.
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