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Average skew information-based coherence and its typicality for random quantum states
- Publication Year :
- 2021
-
Abstract
- We study the average skew information-based coherence for both random pure and mixed states. The explicit formulae of the average skew information-based coherence are derived and shown to be the functions of the dimension N of the state space. We demonstrate that as N approaches to infinity, the average coherence is 1 for random pure states, and a positive constant less than 1/2 for random mixed states. We also explore the typicality of average skew information-based coherence of random quantum states. Furthermore, we identify a coherent subspace such that the amount of the skew information-based coherence for each pure state in this subspace can be bounded from below almost always by a fixed number that is arbitrarily close to the typical value of coherence.<br />24pages
- Subjects :
- Statistics and Probability
Quantum Physics
Skew
General Physics and Astronomy
FOS: Physical sciences
Statistical and Nonlinear Physics
State (functional analysis)
Coherence (statistics)
01 natural sciences
010305 fluids & plasmas
Quantum state
Modeling and Simulation
Bounded function
0103 physical sciences
State space
Almost surely
Statistical physics
010306 general physics
Quantum Physics (quant-ph)
Mathematical Physics
Subspace topology
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....0064aa24bc62e4c6c5f8ec6c4650d6c0