Optimal correction of independent and correlated errors

DOI10.1088/1751-8113/47/4/045306zbMath1285.81014arXiv1302.6450OpenAlexW2007036029MaRDI QIDQ5404811

Publication date: 28 March 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: We identify optimal quantum error correction codes for situations that do not admit perfect correction. We provide analytic n-qubit results for standard cases with correlated errors on multiple qubits and demonstrate significant improvements to the fidelity bounds and optimal entanglement decay profiles.

Full work available at URL: https://arxiv.org/abs/1302.6450

zbMATH Keywords

quantum channels quantum entanglement quantum codes quantum fidelity approximate quantum error correction

Mathematics Subject Classification ID

Quantum computation (81P68) Other types of codes (94B60) Channel models (including quantum) in information and communication theory (94A40) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum coding (general) (81P70)