Optimal quantum codes for preventing collective amplitude damping

Details Optimal quantum codes for preventing collective amplitude damping Optimal quantum codes for preventing collective amplitude damping

1998-04-06

arxiv.org/abs/quant-ph/9804014v1

Physics

Quantum Physics

14 pages, Latex

Scientific paper

10.1103/PhysRevA.58.3491

Collective decoherence is possible if the departure between quantum bits is smaller than the effective wave length of the noise field. Collectivity in the decoherence helps us to devise more efficient quantum codes. We present a class of optimal quantum codes for preventing collective amplitude damping to a reservoir at zero temperature. It is shown that two qubits are enough to protect one bit quantum information, and approximately $L+ 1/2 \log_2((\pi L)/2)$ qubits are enough to protect $L$ qubit information when $L$ is large. For preventing collective amplitude damping, these codes are much more efficient than the previously-discovered quantum error correcting or avoiding codes.

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