Fundamental limits upon the measurement of state vectors

Jones, K. R. W. (1994) Fundamental limits upon the measurement of state vectors. Physical Review A, 50 5: 3682-3699. doi:10.1103/PhysRevA.50.3682

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Author Jones, K. R. W.
Title Fundamental limits upon the measurement of state vectors
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
2469-9926
Publication date 1994
Sub-type Article (original research)
DOI 10.1103/PhysRevA.50.3682
Open Access Status File (Publisher version)
Volume 50
Issue 5
Start page 3682
End page 3699
Total pages 18
Place of publication College Park, MD, United States
Publisher American Physical Society
Subject 3100 Physics and Astronomy
3107 Atomic and Molecular Physics, and Optics
Abstract Using the Shannon information theory and the Bayesian methodology for inverting quantum data [K. R. W. Jones, Ann. Phys. (N.Y.) 207, 140 (1991)] we prove a fundamental bound upon the measurability of finite-dimensional quantum states. To do so we imagine a thought experiment for the quantum communication of a pure state , known to one experimenter, to his colleague via the transmission of N identical copies of it in the limit of zero temperature. Initial information available to the second experimenter is merely that of the allowed manifold of superpositions upon which the chosen may lie. Her efforts to determine it, in an optimal way, subject to the fundamental constraints imposed by quantum noise, define a statistical uncertainty principle. This limits the accuracy with which can be measured according to the number N of transmitted copies. The general result is illustrated in the physically realizable case of polarized photons.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
 
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