Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevLett.107.020404
Title: Quantum-state reconstruction by maximizing likelihood and entropy
Authors: Teo, Y.S.
Zhu, H.
Englert, B.-G. 
Řeháček, J.
Hradil, Z.
Issue Date: 8-Jul-2011
Citation: Teo, Y.S., Zhu, H., Englert, B.-G., Řeháček, J., Hradil, Z. (2011-07-08). Quantum-state reconstruction by maximizing likelihood and entropy. Physical Review Letters 107 (2) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevLett.107.020404
Abstract: Quantum-state reconstruction on a finite number of copies of a quantum system with informationally incomplete measurements, as a rule, does not yield a unique result. We derive a reconstruction scheme where both the likelihood and the von Neumann entropy functionals are maximized in order to systematically select the most-likely estimator with the largest entropy, that is, the least-bias estimator, consistent with a given set of measurement data. This is equivalent to the joint consideration of our partial knowledge and ignorance about the ensemble to reconstruct its identity. An interesting structure of such estimators will also be explored. © 2011 American Physical Society.
Source Title: Physical Review Letters
URI: http://scholarbank.nus.edu.sg/handle/10635/97719
ISSN: 00319007
DOI: 10.1103/PhysRevLett.107.020404
Appears in Collections:Staff Publications

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