2015/05/20 by Yu-Ran Zhang, Lian-He Shao, Yongming Li +1 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Coherence length #Coherence theory #Entropy (arrow of time) #Fock space #Kullback–Leibler divergence #Mathematics #Multi-mode optical fiber #Norm (philosophy) #Optics #Physics #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #Statistical physics #Statistics #quant-ph
paper · pdf · doi:10.1103/physreva.93.012334
published as Phys. Rev. A 93, 012334 (2016) · 5 pages, 2 figures
arxiv created 2015/05/20 · openalex publication_date 2016/01/20 · arxiv updated 2016/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the quantification of coherence in the infinite-dimensional systems, and especially, we focus on the infinite-dimensional bosonic systems in the Fock space. We find that given the average energy constraints, the relative entropy of coherence serves as a well-defined quantification of coherence in the infinite-dimensional systems, however, the l1 norm of coherence fails. Via using the relative entropy of coherence as the quantification of coherence, we generalize the case to multimode Fock spaces, and some special examples are considered. It is shown that with a finite average particle number, increasing the number of modes of light can enhance the relative entropy of coherence. With the mean energy constraint, our results can also be extended to other infinite-dimensional systems.