Tomography of structured light beams: exploring analogies with quantum measurement theory

2021 ◽  
Author(s):  
Sarah Croke ◽  
Harry Jimbrown ◽  
Mustafa Al Khafaji ◽  
Adam Selyem ◽  
Sebastiao Padua ◽  
...  
Keyword(s):  
Quantum Measurement ◽  
Structured Light ◽  
Measurement Theory ◽  
Quantum Measurement Theory ◽  
Light Beams

Subsystem measurement in unitary quantum measurement theory with redundant entanglement

2014 ◽  
Vol 12 (05) ◽  
pp. 1450032 ◽  
Author(s):  
Fedor Herbut
Keyword(s):  
Quantum Measurement ◽  
Measurement Theory ◽  
Quantum Measurement Theory ◽  
Final State ◽  
Unitary Evolution ◽  
New Approach ◽  
Change Of State ◽  
Complete Measurement ◽  
Distant Measurement ◽  
Dynamical Relation

Measurement of a degenerate (or non-degenerate) discrete observable is investigated in the framework of quantum measurement theory short of collapse, i.e. premeasurement theory, based on a unitary evolution operator that includes the measurement interaction between object and measuring instrument. A pointer observable with eigen-projectors of, in general, many (or even infinitely) dimensional ranges is introduced as a new approach. It leads to redundant entanglement in the final state. As the first main result, the basic dynamical relation of the approach is derived. It is shown to be equivalent to the calibration condition, which is known to define general exact measurement. The latter is given a practical form. Complete measurement (premeasurement with objectification or collapse), which is in some sense implied by the premeasurement theory, performed on a subsystem of a bipartite object in a pure state is studied with particular attention to its effect on the opposite, interactionally unaffected subsystem. The change of state of the latter is derived for exact complete subsystem measurement, and it is shown that the change is the same as for the simplest, i.e. ideal measurement (this is the second main result). It is applied to the case of twin observables and thus distant measurement obtains a new, more satisfactory, foundation (the third main result). Distant measurement is a basic concept in the EPR phenomenon. The well-known importance of the latter implies importance of the former.

Quantum measurement theory and the Stern–Gerlach experiment

1998 ◽  
Vol 66 (5) ◽  
pp. 377-379 ◽  
Author(s):  
M. Hannout ◽  
S. Hoyt ◽  
A. Kryowonos ◽  
A. Widom
Keyword(s):  
Quantum Measurement ◽  
Measurement Theory ◽  
Quantum Measurement Theory

Quantum Measurement Theory

2021 ◽  
pp. 77-104
Author(s):  
János A. Bergou ◽  
Mark Hillery ◽  
Mark Saffman
Keyword(s):  
Quantum Measurement ◽  
Measurement Theory ◽  
Quantum Measurement Theory
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