output
19932025
most citedA gravitational-wave standard siren measurement of the Hubble constant

1.2k citations

Showing 2009 · quant-phShow all

6 papers · 2 filters

quant-ph2009★ 9 cited

Bounds on Shannon distinguishability in terms of partitioned measures

Alexey E. Rastegin

A family of quantum measures like the Shannon distinguishability is presented. These measures are defined over the two classes of POVM measurements and related to separate parts in…

quant-ph2009★ 13 cited

Continuity and Stability of Partial Entropic Sums

Alexey E. Rastegin

Extensions of Fannes' inequality with partial sums of the Tsallis entropy are obtained for both the classical and quantum cases. The definition of kth partial sum under the prescri…

quant-ph2009★ 1 cited

Some properties of partial fidelities

Alexey E. Rastegin

Basic properties of Uhlmann's partial fidelities are discussed. Statistical interpretation in terms of POVM measurements is established. Multiplicativity properties are considered.…

quant-ph2009

No-cloning theorem for a single POVM

Alexey E. Rastegin

Cloning of statistics of general quantum measurement is discussed. The presented approach is connected with the known concept of observable cloning, but differs in some essential r…

quant-ph2009

Optimal cloning with respect to the relative error

Alexey E. Rastegin

The relative error of cloning of quantum states with arbitrary prior probabilities is considered. It is assumed that the ancilla may contain some a priori information about the inp…

quant-ph2009★ 20 cited

Partitioned trace distances

Alexey E. Rastegin

New quantum distance is introduced as a half-sum of several singular values of difference between two density operators. This is, up to factor, the metric induced by so-called Ky F…