scholarly journals Estimating coherence with respect to general quantum measurements

2022 ◽  
Vol 21 (1) ◽  
Author(s):  
Jianwei Xu ◽  
Lin Zhang ◽  
Shao-Ming Fei
Keyword(s):  
Quantum Measurements ◽  
General Quantum

scholarly journals Experimental Test of the State Estimation-Reversal Tradeoff Relation in General Quantum Measurements

2014 ◽  
Vol 4 (2) ◽  
Author(s):  
Geng Chen ◽  
Yang Zou ◽  
Xiao-Ye Xu ◽  
Jian-Shun Tang ◽  
Yu-Long Li ◽  
...  
Keyword(s):  
State Estimation ◽  
Experimental Test ◽  
Quantum Measurements ◽  
The State ◽  
General Quantum

scholarly journals Implementation of POVMs by Projective Measurements and Postselection:Optimal Strategies and Applications to Unambiguous State Discrimination

Proceedings ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 56
Author(s):  
Filip B. Maciejewski ◽  
Michał Oszmaniec
Keyword(s):  
Quantum Measurement ◽  
Optimal Strategy ◽  
Quantum Measurements ◽  
State Discrimination ◽  
General Quantum ◽  
Projective Measurements ◽  
Unambiguous State Discrimination

We present new results concerning simulation of general quantum measurements (POVMs) by projective measurements (PMs) for the task of Unambiguous State Discrimination (USD). We formulate a problem of finding optimal strategy of simulation for given quantum measurement. The problem can be solved for qubit and qutrits measurements by Semi-Definite Programming (SDP) methods.

On the general quantum theory of measurement

1969 ◽  
Vol 65 (1) ◽  
pp. 111-122 ◽  
Author(s):  
Arthur I. Fine
Keyword(s):  
Quantum Theory ◽  
Theory Of Measurement ◽  
Quantum Measurements ◽  
Initial State ◽  
Von Neumann ◽  
General Quantum ◽  
Von Neumann Measurements ◽  
Quantum Theory Of Measurement

We use the term ‘measurement’ to refer to the interaction between an object and an apparatus on the basis of which information concerning the initial state of the object may be obtained from information on the resulting state of the apparatus. The quantum theory of measurement is a quantum theoretic investigation of such interactions in order to analyse the correlations between object and apparatus that measurement must establish. Although there is a sizeable literature on quantum measurements there appear to be just two sorts of interactions that have been employed. There are the ‘disturbing’ interactions consistent with the analysis of Landau and Peierls (8) as developed by Pauli (11) and by Landau and Lifshitz (7), and there are the ‘non-disturbing’ interactions explicitly set out by von Neumann ((10), chs. 5, 6), and that dominate the literature. In this paper we shall investigate the most general types of interactions that could possibly constitute measurements and provide a precise mathematical characterization (section 2). We shall then examine an interesting subclass, corresponding to Landau's ideas, that contains both of the above sorts of measurements (section 3). Finally, we shall discuss von Neumann measurements explicitly and explore the purported limitations suggested by Wigner(12) and Araki and Yanase (2). We hope, in this way, to provide a comprehensive basis for discussions of quantum measurements.

scholarly journals Quantifying coherence with respect to general quantum measurements

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Felix Bischof ◽  
Hermann Kampermann ◽  
Dagmar Bruß
Keyword(s):  
Quantum Measurements ◽  
General Quantum

scholarly journals Coherence measures with respect to general quantum measurements

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Jianwei Xu ◽  
Lian-He Shao ◽  
Shao-Ming Fei
Keyword(s):  
Quantum Measurements ◽  
General Quantum

scholarly journals Towards a Unified Approach to Information-Disturbance Tradeoffs in Quantum Measurements

2009 ◽  
Vol 16 (01) ◽  
pp. 29-48 ◽  
Author(s):  
Francesco Buscemi ◽  
Michał Horodecki
Keyword(s):  
Quantum Theory ◽  
Quantum Measurements ◽  
Unified Approach ◽  
Average Output ◽  
Information Dynamics ◽  
General Quantum ◽  
The Subject

We show that the global balance of information dynamics for general quantum measurements given in [F. Buscemi, M. Hayashi, and M. Horodecki, Phys. Rev. Lett. 100, 210504 (2008)] makes it possible to unify various and generally inequivalent approaches adopted in order to derive information-disturbance tradeoffs in quantum theory. We focus in particular on those tradeoffs, constituting the vast majority of the literature on the subject, where disturbance is defined either in terms of average output fidelity or of entanglement fidelity.

Why Quantum Measurements Yield Single Values

2021 ◽  
Vol 51 (1) ◽  
Author(s):  
H. S. Perlman
Keyword(s):  
Quantum Measurements
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