New lower bounds on the non-zero capacity of Pauli Channels

Abstract

We study encodings that give the best known thresholds for the non-zero capacity of quantum channels, i.e., the upper bound for correctable noise, using an entropic approach to calculation of the threshold values. Our results show that Pauli noise is correctable up to the hashing bound. For a depolarizing channel, this approach allows one to achieve a non-zero capacity for a fidelity (probability of no error) of f=0.80870.

10 pages, 5 figures, RevTeX4, accepted in Phys. Rev. A

References in corpus (1)

• Correctable noise of Quantum Error Correcting Codes under adaptive concatenation

Cited by in corpus (2)

• Correctable noise of Quantum Error Correcting Codes under adaptive concatenation
• An upper bound on quantum fault tolerant thresholds