Error Correction in Quantum Communication
A. Ekert, C. Macchiavello (University of Oxford)
TL;DR
This paper discusses methods for correcting phase and amplitude errors in quantum communication, extending classical error correction concepts to quantum systems and exploring their practical implementation.
Contribution
It introduces quantum error correction criteria, quantum analogs of classical bounds, and discusses practical aspects of implementing quantum codes.
Findings
Established criteria for quantum error correction
Derived quantum versions of Hamming and Gilbert-Varshamov bounds
Commented on practical implementation of quantum codes
Abstract
We show how procedures which can correct phase and amplitude errors can be directly applied to correct errors due to quantum entanglement. We specify general criteria for quantum error correction, introduce quantum versions of the Hamming and the Gilbert-Varshamov bounds and comment on the practical implementation of quantum codes.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum-Dot Cellular Automata