Repetition Versus Noiseless Quantum Codes For Correlated Errors

Abstract

We study the performance of simple quantum error correcting codes with respect to correlated noise errors characterized by a finite correlation strength. Specifically, we consider bit flip (phase flip) noisy quantum memory channels and use repetition and noiseless quantum codes. We characterize the performance of the codes by means of the entanglement fidelity as function of the error probability and degree of memory. Finally, comparing the entanglement fidelities of repetition and noiseless quantum codes, we find a threshold for the correlation strength that allows to select the code with better performance.

few changes, 14 pages

References in corpus (4)

• An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation
• Introduction to Quantum Error Correction
• Introduction to Quantum Information Processing
• Correlated errors can lead to better performance of quantum codes

Cited by in corpus (7)

• Quantum channels and memory effects
• Quantum Stabilizer Codes for Correlated and Asymmetric Depolarizing Errors
• Quantifying the Performance of Quantum Codes
• Removing correlations in signals transmitted over a quantum memory channel
• Suppressing correlated noise in signals transmitted over the Gaussian memory channels using $2N$-port splitter and phase flips
• Geometric Graph-Theoretic Aspects of Quantum Stabilizer Codes
• Concatenation of Error Avoiding with Error Correcting Quantum Codes for Correlated Noise Models