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The n-th Decay Rate of Coherence for Bell-diagonal States Under Quantum Channels
- Source :
- International Journal of Theoretical Physics. 59:2912-2923
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
Abstract
- We study the degree to which the coherence of quantum states is affected by noise. We give the definition of the $n$-th decay rate and investigate the coherence of Bell-diagonal states under $n$ iterations of channels. We derive explicit formulas of the $n$-th decay rates based on $l_1$ norm of coherence, relative entropy of coherence and skew information-based coherence. It is found that the larger $n$ is, the faster the $n$-th decay rate decreases as the parameter $p$ of Bell-diagonal states increases. Moreover, for any fixed $n$, with the increase of $p$, Bell-diagonal states can be completely incoherent under generalized amplitude damping (GAD) channels, depolarization (DEP) channels and phase flip (PF) channels, while this is not the case for bit flip (BF) channels and bit-phase flip (BPF) channels. We also investigate the geometry of the relative entropy of coherence and skew information-based coherence of Bell-diagonal states under different channels when the $n$-th decay rate is one, i.e., the coherence is frozen. It is shown that compared with BF and BPF channels, when $n$ is large enough, the coherence of Bell-diagonal states will not be frozen under GAD, DEP and PF channels. For skew information-based coherence, similar properties of coherence freezing are found.
- Subjects :
- Physics
Quantum Physics
Kullback–Leibler divergence
Physics and Astronomy (miscellaneous)
010308 nuclear & particles physics
General Mathematics
Diagonal
Skew
FOS: Physical sciences
Quantum channel
01 natural sciences
Amplitude
Quantum state
Quantum mechanics
0103 physical sciences
Quantum Physics (quant-ph)
010306 general physics
Quantum
Coherence (physics)
Subjects
Details
- ISSN :
- 15729575 and 00207748
- Volume :
- 59
- Database :
- OpenAIRE
- Journal :
- International Journal of Theoretical Physics
- Accession number :
- edsair.doi.dedup.....754625688a84269bee2652e4c0bcc5d7