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Finite Sample Analysis in Quantum Estimation (Paperback, Softcover reprint of the original 1st ed. 2014)
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Finite Sample Analysis in Quantum Estimation (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Springer Theses
Expected to ship within 10 - 15 working days
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In this thesis, the author explains the background of problems in
quantum estimation, the necessary conditions required for
estimation precision benchmarks that are applicable and meaningful
for evaluating data in quantum information experiments, and
provides examples of such benchmarks. The author develops
mathematical methods in quantum estimation theory and analyzes the
benchmarks in tests of Bell-type correlation and quantum tomography
with those methods. Above all, a set of explicit formulae for
evaluating the estimation precision in quantum tomography with
finite data sets is derived, in contrast to the standard quantum
estimation theory, which can deal only with infinite samples. This
is the first result directly applicable to the evaluation of
estimation errors in quantum tomography experiments, allowing
experimentalists to guarantee estimation precision and verify
quantitatively that their preparation is reliable.
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