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Capacity of the noisy quantum channel

Physical Review A · 1997 · Vol. 55(3) · pp. 1613–1622

Seth Lloyd✉(Information Technology Laboratory)

Abstract

An upper limit is given to the amount of quantum information that can be transmitted reliably down a noisy, decoherent quantum channel using the high-probability states of quantum sources. A class of quantum error-correcting codes is presented that allows the information transmitted to attain this limit. The result is a quantum analog of Shannon's bound and code for the noisy classical channel [C. E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois Press, Chicago, 1948)].

Quantum Computing Algorithms and Architecture Quantum Information and Cryptography Quantum-Dot Cellular AutomataQuantum capacityQuantum channelQuantumAmplitude damping channelClassical capacityChannel (broadcasting)Quantum informationLimit (mathematics)Computer scienceQuantum error correction

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Decoherence, einselection, and the quantum origins of the classical