Quantum fidelity measures for mixed states

Yeong Cherng Liang, Yu Hao Yeh, Paulo E.M.F. Mendonça, Run Yan Teh, Margaret D. Reid, Peter D. Drummond

研究成果: Review article同行評審

38 引文 斯高帕斯(Scopus)


Applications of quantum technology often require fidelities to quantify performance. These provide a fundamental yardstick for the comparison of two quantum states. While this is straightforward in the case of pure states, it is much more subtle for the more general case of mixed quantum states often found in practice. A large number of different proposals exist. In this review, we summarize the required properties of a quantum fidelity measure, and compare them, to determine which properties each of the different measures has. We show that there are large classes of measures that satisfy all the required properties of a fidelity measure, just as there are many norms of Hilbert space operators, and many measures of entropy. We compare these fidelities, with detailed proofs of their properties. We also summarize briefly the applications of these measures in teleportation, quantum memories and quantum computers, quantum communications, and quantum phase-space simulations.

期刊Reports on Progress in Physics
出版狀態Published - 2019 6月 24

All Science Journal Classification (ASJC) codes

  • 物理與天文學 (全部)


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