2020/08/14 by Minjin Choi, Soojoon Lee
Computer Science · Physics and Astronomy · #Class (philosophy) #Connection (principal bundle) #Construct (python library) #Entropy (arrow of time) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum computer #Quantum state #State (computer science) #msc:81P94 #quant-ph
paper · pdf · doi:10.1007/s11128-021-02988-3
published as Quantum Inf. Process. 20, 47 (2021) · 8 pages
arxiv created 2020/08/14 · openalex created_date 2020/08/21 · openalex publication_date 2021/01/01 · arxiv updated 2021/02/03 · openalex updated_date 2026/08/05
Quantum secret sharing allows each player to have classical information for secret sharing in quantum mechanical ways. In this work, we construct a class of quantum states on which players can quantumly perform secret sharing secure against dishonest players as well as eavesdropper. We here call them the genuine secret-sharing states. In addition, we show that if N players share an N-party genuine secret-sharing state, then arbitrary M players out of the total players can share an M-party genuine secret-sharing state by means of local operations and classical communication on the state. We also define the distillable rate with respect to the genuine secret-sharing state, and explain the connection between the distillable rate and the relative entropy of entanglement.