Discrimination of dephasing channels
Milajiguli Rexiti, Laleh Memarzadeh, Stefano Mancini
TL;DR
This paper analytically solves the problem of distinguishing dephasing channels in finite-dimensional quantum systems, demonstrating that entanglement assistance does not improve discrimination in this context.
Contribution
It provides an analytical solution for optimal input states in dephasing channel discrimination without energy constraints for qubits, qutrits, and ququarts, and shows entanglement assistance is unnecessary.
Findings
Optimal input states are analytically determined for qubits, qutrits, and ququarts.
Entanglement assistance does not enhance discrimination performance.
The results simplify the approach to dephasing channel discrimination in finite-dimensional systems.
Abstract
The problem of dephasing channel discrimination is addressed for finite-dimensional systems. In particular, the optimization with respect to input states without energy constraint is solved analytically for qubit, qutrit and ququart. Additionally, it is shown that resorting to side entanglement assisted strategy is completely useless in this case.
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