Quantum Error Correction and Reversible Operations

Details Quantum Error Correction and Reversible Operations Quantum Error Correction and Reversible Operations

1998-11-30

arxiv.org/abs/quant-ph/9811082v1

Physics

Quantum Physics

Paper based on a talk presented at the International Workshop on Macroscopic Quantum Tunneling and Coherence, Naples, Italy, J

Scientific paper

I give a pedagogical account of Shor's nine-bit code for correcting arbitrary errors on single qubits, and I review work that determines when it is possible to maintain quantum coherence by reversing the deleterious effects of open-system quantum dynamics. The review provides an opportunity to introduce an efficient formalism for handling superoperators. I present and prove some bounds on entanglement fidelity, which might prove useful in analyses of approximate error correction.

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