2020/11/16 by Zhaoqi Wu, Lin Zhang, Shao-Ming Fei +1 · 12 citations
Computer Science · Physics and Astronomy · #Bounded function #Coherence (philosophical gambling strategy) #Coherent states #Dimension (graph theory) #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Skew #State (computer science) #Subspace topology #quant-ph
paper · pdf · doi:10.1088/1751-8121/abcab7
published in Journal of Physics A Mathematical and Theoretical 54(1), 015302 (Institute of Physics) · 24pages
openalex created_date 2019/12/13 · openalex publication_date 2020/11/16 · arxiv created 2021/01/19 · arxiv updated 2021/01/20 · openalex updated_date 2026/08/06
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.