Preprint 20/2013

Universal upper bound for the Holevo information induced by a quantum operation

Lin Zhang, Junde Wu, and Shao-Ming Fei

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Submission date: 01. Feb. 2013
published in: Physics Letters / A, 376 (2012) 47/48, p. 3588-3592 
DOI number (of the published article): 10.1016/j.physleta.2012.10.014
Keywords and phrases: quantum state, Quantum operation, von Neumann entropy, Holevo quantity
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Let HA HB be a bipartite system and ρAB a quantum state on HA HB, ρA = TrB(ρAB), ρB = TrA(ρAB). Then each quantum operation ΦB on quantum system HB can induce a quantum ensemble {(pμA,μ)} on quantum system HA. In this paper, we show that the Holevo quantity χ{(pμA,μ)} of the quantum ensemble {(pμA,μ)} can be upper bounded by S(ρB). By using the result, we answer partly a conjecture of Fannes, de Melo, Roga and Życzkowski.

02.07.2022, 02:16