Notes on the Fidelity of Symplectic Quantum Error-Correcting Codes

Mitsuru Hamada

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Notes on the Fidelity of Symplectic Quantum Error-Correcting Codes

Mitsuru Hamada

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Abstract

Two observations are given on the fidelity of schemes for quantum information processing. In the first one, we show that the fidelity of a symplectic (stabilizer) code, if properly defined, exactly equals the `probability' of the correctable errors for general quantum channels. The second observation states that for any coding rate below the quantum capacity, exponential convergence of the fidelity of some codes to unity is possible.

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Mitsuru Hamada. 2003-11-24. Notes on the Fidelity of Symplectic Quantum Error-Correcting Codes. https://arxiv.org/abs/quant-ph/0311003

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