Codes for the Quantum Erasure Channel

Details Codes for the Quantum Erasure Channel Codes for the Quantum Erasure Channel

1996-10-28

arxiv.org/abs/quant-ph/9610042v2

Phys. Rev. A, vol. 56, no. 1, July 1997, pp. 33-38

Physics

Quantum Physics

6 pages, RevTeX, no figures, submitted to Physical Review A, code extended to encode 2 qubits, references added

Scientific paper

10.1103/PhysRevA.56.33

The quantum erasure channel (QEC) is considered. Codes for the QEC have to correct for erasures, i. e., arbitrary errors at known positions. We show that four qubits are necessary and sufficient to encode one qubit and correct one erasure, in contrast to five qubits for unknown positions. Moreover, a family of quantum codes for the QEC, the quantum BCH codes, that can be efficiently decoded is introduced.

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