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Article

Adaptive State Fidelity Estimation for Higher Dimensional Bipartite Entanglement

Department of Physics, Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan
Entropy 2020, 22(8), 886; https://doi.org/10.3390/e22080886
Received: 26 June 2020 / Revised: 4 August 2020 / Accepted: 10 August 2020 / Published: 12 August 2020
(This article belongs to the Special Issue Quantum Probability, Statistics and Control)
An adaptive method for quantum state fidelity estimation in bipartite higher dimensional systems is established. This method employs state verifier operators which are constructed by local POVM operators and adapted to the measurement statistics in the computational basis. Employing this method, the state verifier operators that stabilize Bell-type entangled states are constructed explicitly. Together with an error operator in the computational basis, one can estimate the lower and upper bounds on the state fidelity for Bell-type entangled states in few measurement configurations. These bounds can be tighter than the fidelity bounds derived in [Bavaresco et al., Nature Physics (2018), 14, 1032–1037], if one constructs more than one local POVM measurements additional to the measurement in the computational basis. View Full-Text
Keywords: adaptive state fidelity estimation; higher dimensional entanglement; Bell-type states adaptive state fidelity estimation; higher dimensional entanglement; Bell-type states
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MDPI and ACS Style

Wu, J.-Y. Adaptive State Fidelity Estimation for Higher Dimensional Bipartite Entanglement. Entropy 2020, 22, 886. https://doi.org/10.3390/e22080886

AMA Style

Wu J-Y. Adaptive State Fidelity Estimation for Higher Dimensional Bipartite Entanglement. Entropy. 2020; 22(8):886. https://doi.org/10.3390/e22080886

Chicago/Turabian Style

Wu, Jun-Yi. 2020. "Adaptive State Fidelity Estimation for Higher Dimensional Bipartite Entanglement" Entropy 22, no. 8: 886. https://doi.org/10.3390/e22080886

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