Channel-Adapted Quantum Error Correction for the Amplitude Damping Channel

Details Channel-Adapted Quantum Error Correction for the Amplitude Damping Channel Channel-Adapted Quantum Error Correction for the Amplitude Damping Channel

2007-10-04

arxiv.org/abs/0710.1052v1

Physics

Quantum Physics

11 pages, 12 figures

Scientific paper

We consider error correction procedures designed specifically for the amplitude damping channel. We analyze amplitude damping errors in the stabilizer formalism. This analysis allows a generalization of the [4,1] `approximate' amplitude damping code of quant-ph/9704002. We present this generalization as a class of [2(M+1),M] codes and present quantum circuits for encoding and recovery operations. We also present a [7,3] amplitude damping code based on the classical Hamming code. All of these are stabilizer codes whose encoding and recovery operations can be completely described with Clifford group operations. Finally, we describe optimization options in which recovery operations may be further adapted according to the damping probability gamma.

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