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 (2)

• Degenerate Quantum Codes for Pauli Channels
• Correctable noise of Quantum Error Correcting Codes under adaptive concatenation

Cited by in corpus (23)

• Quantum repeaters: From quantum networks to the quantum internet
• Estimating Quantum and Private capacities of Gaussian channels via degradable extensions
• Generic nonadditivity of quantum capacity in simple channels
• Detecting positive quantum capacities of quantum channels
• Correctable noise of Quantum Error Correcting Codes under adaptive concatenation
• The platypus of the quantum channel zoo
• Bounding quantum capacities via partial orders and complementarity
• Exploring super-additivity of coherent information of noisy quantum channels through Genetic algorithms
• Graph state basis for Pauli Channels
• The noisy Werner-Holevo channel and its properties
• Quantum key distribution based on orthogonal state encoding
• The domain wall color code
• Five Starter Pieces: Quantum Information Science via Semi-definite Programs
• Multipartite entanglement to boost superadditivity of coherent information in quantum communication lines with polarization dependent losses
• Capacities of a two-parameter family of noisy Werner-Holevo channels
• Irreducibly $SU(2)$-covariant quantum channels of low rank
• An upper bound on quantum fault tolerant thresholds
• Quantum key distribution over noisy channels by the testing state method
• Quantum Computation and Communication in Bosonic Systems
• Achievable rates for concatenated square Gottesman-Kitaev-Preskill codes
• Biased-Noise Thresholds of Zero-Rate Holographic Codes with Tensor-Network Decoding
• Exact Quantum Capacity of Decohering Channels in Arbitrary Dimensions
• The depolarising channel and Horns problem