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Geometrical picture of photocounting measurements
- Source :
- Physical Review A
- Publication Year :
- 2018
- Publisher :
- American Physical Society (APS), 2018.
-
Abstract
- We revisit the representation of generalized quantum observables by establishing a geometric picture in terms of their positive operator-valued measures (POVMs). This leads to a clear geometric interpretation of Born's rule by introducing the concept of contravariant operator-valued measures. Our approach is applied to the theory of array detectors, which is a challenging task as the finite dimensionality of the POVM substantially restricts the available information about quantum states. Our geometric technique allows for a direct estimation of expectation values of different observables, which are typically not accessible with such detection schemes. In addition, we also demonstrate the applicability of our method to quantum-state reconstruction with unbalanced homodyne detection.<br />16 pages, 9 figures
- Subjects :
- Physics
Quantum Physics
FOS: Physical sciences
Observable
01 natural sciences
010305 fluids & plasmas
POVM
Homodyne detection
Quantum state
0103 physical sciences
Covariance and contravariance of vectors
Statistical physics
Quantum Physics (quant-ph)
010306 general physics
Representation (mathematics)
Quantum
Curse of dimensionality
Subjects
Details
- ISSN :
- 24699934 and 24699926
- Volume :
- 97
- Database :
- OpenAIRE
- Journal :
- Physical Review A
- Accession number :
- edsair.doi.dedup.....78c49fa39cd3f83a05ff7bcab2d94ab6