Capacity of the noisy quantum channel

1996/04/30 by Seth Lloyd · 11 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum-Dot Cellular Automata #quant-ph

paper · pdf · doi:10.1103/physreva.55.1613

19 pages, Submitted to Science. Replaced give correct references to work of Schumacher, to add a figure and an appendix, and to correct minor mistakes

arxiv created 1996/05/01 · openalex publication_date 1997/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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)].

Citations

• Measurement of Conditional Phase Shifts for Quantum Logic
• Good Quantum Error-Correcting Codes Exist

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• Quantum State Merging and Negative Information
• Negative Entropy and Information in Quantum Mechanics
• Multiplicativity of Completely Bounded p-Norms Implies a New Additivity Result
• Quantum-capacity-approaching codes for the detected-jump channel
• Capacities of linear quantum optical systems
• Unified Approach to Quantum Capacities: Towards Quantum Noisy Coding Theorem