Optimal correction of independent and correlated errors
arXiv:1302.6450 · doi:10.1088/1751-8113/47/4/045306
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.
11 pages, 4 figures. Updated to include fidelity analysis
References in corpus (8)
- Many-Body Physics with Ultracold Gases
- Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits
- Fault-Tolerant Quantum Computation For Local Non-Markovian Noise
- Strong Resilience of Topological Codes to Depolarization
- Quantum error correction may delay, but also cause, entanglement sudden death
- Noisy entanglement evolution for graph states
- Towards a Unified Framework for Approximate Quantum Error Correction
- Entanglement properties of optical coherent states under amplitude damping