Name
Abstract | ||
|---|---|---|
The conventional coherence is defined with respect to a fixed orthonormal basis, i.e., to a von Neumann measurement. Recently, generalized quantum coherence with respect to general positive operator-valued measurements has been presented. Several well-defined coherence measures, such as the relative entropy of coherence
$$C_{r}$$
, the
$$l_{1}$$
norm of coherence
$$C_{l_{1}}$$
and the coherence
$$C_{T,\alpha }$$
based on Tsallis relative entropy with respect to general POVMs have been obtained. In this work, we investigate the properties of
$$C_{r}$$
,
$$C_{l_{1}}$$
and
$$C_{T,\alpha }$$
. We estimate the upper bounds of
$$C_{l_{1}}$$
; we show that the minimal error probability of the least square measurement state discrimination is given by
$$C_{T,1/2}$$
; we derive the uncertainty relations given by
$$C_{r}$$
, and calculate the average values of
$$C_{r}$$
,
$$C_{T,\alpha }$$
and
$$C_{l_{1}}$$
over random pure quantum states. All these results include the corresponding results of the conventional coherence as special cases. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1007/s11128-021-03393-6 | Quantum Information Processing |
DocType | Volume | Issue |
Journal | 21 | 1 |
ISSN | Citations | PageRank |
1570-0755 | 0 | 0.34 |
References | Authors | |
2 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jianwei Xu | 1 | 0 | 0.34 |
| Lin Zhang | 2 | 146 | 16.93 |
| S. M. Fei | 3 | 72 | 34.02 |