2016/11/18 by Fabian Bohnet-Waldraff, F. Bohnet-Waldraff, Olivier Giraud +3
Computer Science · Mathematics · Physics and Astronomy · #Absolute continuity #Coherent states #Law #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum state #Separable state #Spin (aerodynamics) #State (computer science) #Unitary state #Unitary transformation #quant-ph
paper · pdf · doi:10.1103/physreva.95.012318
published as Phys. Rev. A 95, 012318 (2017) · 6 pages, 1 figure
arxiv created 2016/11/18 · openalex publication_date 2017/01/19 · arxiv updated 2017/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce the concept of ``absolutely classical'' spin states, in analogy to absolutely separable states of bipartite quantum systems. Absolutely classical states are states that remain classical (i.e., a convex sum of projectors on coherent states of a spin j) under any unitary transformation applied to them. We investigate the maximal size of the ball of absolutely classical states centered on the maximally mixed state and derive a lower bound for its radius as a function of the total spin quantum number. We also obtain a numerical estimate of this maximal radius and compare it to the case of absolutely separable states.