Countering Quantum Noise with Supplementary Classical Information

Details Countering Quantum Noise with Supplementary Classical Information Countering Quantum Noise with Supplementary Classical Information

2002-01-17

arxiv.org/abs/quant-ph/0201073v1

Phys. Rev. A 68, 012303 (2003)

Physics

Quantum Physics

RevTeX, 5 pages, 2 figures Typo in reference 9 corrected

Scientific paper

10.1103/PhysRevA.68.012303

We consider situations in which i) Alice wishes to send quantum information to Bob via a noisy quantum channel, ii) Alice has a classical description of the states she wishes to send and iii) Alice can make use of a finite amount of noiseless classical information. After setting up the problem in general, we focus attention on one specific scenario in which Alice sends a known qubit down a depolarizing channel along with a noiseless cbit. We describe a protocol which we conjecture is optimal and calculate the average fidelity obtained. A surprising amount of structure is revealed even for this simple case which suggests that relationships between quantum and classical information could in general be very intricate.

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