Applications of quantum coherence via skew information under mutually unbiased bases
| Autor: | Jian Zhang, Yi-Hao Sheng, Shao-Ming Fei, Yuan-Hong Tao |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Skew
Statistical and Nonlinear Physics Coherence (statistics) 01 natural sciences Measure (mathematics) Upper and lower bounds 010305 fluids & plasmas Theoretical Computer Science Electronic Optical and Magnetic Materials Modeling and Simulation Complementarity (molecular biology) 0103 physical sciences Signal Processing Statistical physics Electrical and Electronic Engineering 010306 general physics Quantum Mutually unbiased bases Quantum computer Mathematics |
| Zdroj: | Quantum Information Processing. 20 |
| ISSN: | 1573-1332 1570-0755 |
| DOI: | 10.1007/s11128-021-03017-z |
| Popis: | The complementarity (upper bound) and uncertainty relations (lower bound) of the coherence via skew information under mutually unbiased bases (MUBs) are studied. The complementarity relation for the geometric measure of coherence is also obtained based on the relation between the coherence via skew information and the geometric measure of coherence. As applications, two tighter upper bounds are presented on the minimum error probabilities that discriminate a set of pure states with the least square measurement, which improve the results of Xiong et al. (Phys Rev A 98:032324, 2018). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink