• Corpus ID: 222090297

Conditional probability and interferences in generalized measurements

@article{Trassinelli2020ConditionalPA,
  title={Conditional probability and interferences in generalized measurements},
  author={Martino Trassinelli},
  journal={arXiv: Data Analysis, Statistics and Probability},
  year={2020}
}
  • M. Trassinelli
  • Published 1 October 2020
  • Physics
  • arXiv: Data Analysis, Statistics and Probability
In the context of generalized measurement theory, the Gleason-Busch theorem assures the unique form of the associated probability function. Recently, in Flatt et al. Phys. Rev. A 96, 062125 (2017), the case of subsequent measurements has been treated, with the derivation of the L{u}ders rule and its generalization (Krauss update rule). Here we investigate the special case of subsequent measurements where an intermediate measurement is a composition of two measurements (a or b) with possible… 

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References

SHOWING 1-10 OF 48 REFERENCES
Gleason-Busch theorem for sequential measurements
Gleason's theorem is a statement that, given some reasonable assumptions, the Born rule used to calculate probabilities in quantum mechanics is essentially unique [A. M. Gleason, Indiana Univ. Math.
Relational Quantum Mechanics and Probability
We present a derivation of the third postulate of relational quantum mechanics (RQM) from the properties of conditional probabilities. The first two RQM postulates are based on the information that
Delayed-choice gedanken experiments and their realizations
The wave-particle duality dates back to Einstein's explanation of the photoelectric effect through quanta of light and de Broglie's hypothesis of matter waves. Quantum mechanics uses an abstract
A complementarity experiment with an interferometer at the quantum–classical boundary
TLDR
An experimental investigation of complementarity using an interferometer in which the properties of one of the beam-splitting elements can be tuned continuously from being effectively microscopic to macroscopic, illustrating the quantum to classical transition.
Decoherence, einselection, and the quantum origins of the classical
as quantum engineering. In the past two decades it has become increasingly clear that many (perhaps all) of the symptoms of classicality can be induced in quantum systems by their environments. Thus
Consistent interpretations of quantum mechanics
Within the last decade, significant progress has been made towards a consistent and complete reformulation of the Copenhagen interpretation (an interpretation consisting in a formulation of the
Survey of general quantum physics
The abstract description of a physical system is developed, along lines originally suggested by Birkhoff and von Neumann, in terms of the complete lattice of propositions associated with that system,
Quantum superposition of molecules beyond 25 kDa
Matter-wave interference experiments provide a direct confirmation of the quantum superposition principle, a hallmark of quantum theory, and thereby constrain possible modifications to quantum
Decoherence, the measurement problem, and interpretations of quantum mechanics
Environment-induced decoherence and superselection have been a subject of intensive research over the past two decades, yet their implications for the foundational problems of quantum mechanics, most
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