Enhancing phase-covariant channel performance with non-unitality
arXiv:2212.04876 · doi:10.1088/1751-8121/acccbf
Abstract
We analyze quantum communication properties of phase-covariant channels depending on their degree of non-unitality. In particular, we derive analytical formulas for minimal and maximal channel fidelity on pure states and maximal output purity. Next, we introduce a measure of non-unitality and show how to manipulate between unital and maximally non-unital maps by considering classical mixtures of quantum channels. Finally, we prove that maximal fidelity and maximal output purity increase with non-unitality and present several examples. Interestingly, non-unitality can also prolong quantum entanglement and lead to its rebirth.
References in corpus (13)
- Reference frames, superselection rules, and quantum information
- Economical Phase-Covariant Cloning of Qudits
- Non-unital non-Markovianity of quantum dynamics
- Fundamental limits on quantum dynamics based on entropy change
- Pauli Diagonal Channels Constant on Axes
- Noise suppression via generalized-Markovian processes
- Quantum speed limit and divisibility of the dynamical map
- Modular Quantum Information Processing by Dissipation
- Engineering fidelity of the generalized Pauli channels via legitimate memory kernels
- Measure of invertible dynamical maps under convex combinations of noninvertible dynamical maps
- Phase-covariant mixtures of non-unital qubit maps
- Economical realization of phase covariant devices in arbitrary dimensions
- Memory effects displayed in the evolution of continuous variable system
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- Covariant decomposable maps on C*-algebras and quantum dynamics