Discrimination of bosonic dephasing quantum channels

Abstract

We study the possibility of discriminating between two bosonic dephasing quantum channels. We show that unambiguous discrimination is not realizable. We then consider discrimination with nonzero error probability and minimize this latter in the absence of input constraints. In the presence of an input energy constraint, we derive an upper bound on the error probability. Finally, we extend these results from single-shot to multi-shot discrimination, envisaging the asymptotic behavior.

References in corpus (8)

• The Quantum Chernoff Bound
• Exact solution for the quantum and private capacities of bosonic dephasing channels
• Quantum capacity of bosonic dephasing channel
• Exact quantum sensing limits for bosonic dephasing channels
• Discriminating qubit amplitude damping channels
• Profitable entanglement for channel discrimination
• Energy-constrained LOCC-assisted quantum capacity of bosonic dephasing channel
• Quantum capacity of a deformed bosonic dephasing channel