Sufficient Statistic and Recoverability via Quantum Fisher Information
We prove that for a large class of quantum Fisher information, a quantum channel is
sufficient for a family of quantum states, ie, the input states can be recovered from the output …
sufficient for a family of quantum states, ie, the input states can be recovered from the output …
Sufficient statistic and recoverability via Quantum Fisher Information metrics
We prove that for a large class of quantum Fisher information, a quantum channel is
sufficient for a family of quantum states, ie, the input states can be recovered from the output …
sufficient for a family of quantum states, ie, the input states can be recovered from the output …
Cartan-covariant Quantum Channels and the PPT conjecture
S Prudhoe - arXiv preprint arXiv:2501.03959, 2025 - arxiv.org
Two-parameter generalizations of depolarizing channels are introduced and studied. These
so-called Cartan-covariant channels have a covariance Lie group that forms a Cartan …
so-called Cartan-covariant channels have a covariance Lie group that forms a Cartan …
Geometric conditions for saturating the data processing inequality
The data processing inequality (DPI) is a scalar inequality satisfied by distinguishability
measures on density matrices. For some distinguishability measures, saturation of the scalar …
measures on density matrices. For some distinguishability measures, saturation of the scalar …