Search results
Feb 4, 2002 · Quantum Logic and Probability Theory. First published Mon Feb 4, 2002; substantive revision Tue Aug 10, 2021. Mathematically, quantum mechanics can be regarded as a non-classical probability calculus resting upon a non-classical propositional logic.
- Quantum Theory and Mathematical Rigor
A brief explanation for this shift is provided below. See...
- The Basic Theory of Ordering Relations
Supplement to Quantum Logic and Probability Theory. The...
- Bell's Theorem
Bell’s Theorem is the collective name for a family of...
- Quantum Theory and Mathematical Rigor
In the mathematical study of logic and the physical analysis of quantum foundations, quantum logic is a set of rules for manipulation of propositions inspired by the structure of quantum theory. The formal system takes as its starting point an observation of Garrett Birkhoff and John von Neumann, that the structure of experimental tests in ...
People also ask
Can quantum logic generalize the event spaces of classical probability?
Can quantum mechanics be regarded as a non-classical probability calculus?
What is quantum probability?
What is quantum logic?
Cornerstone 1: Gleason's theorem. Why does quantum mechanics use Hilbert space vectors, norms and traces? Surely: it works to describe a certain class of experiment. But what kinds of ex-periments? Gleason's theorem tells us: any probabilistic experiment, in a certain generalised sense of probability. 1.1. Quantum logic.
Jan 1, 2021 · Harnessing the laws of quantum physics, namely its basic principles such as the no-cloning theorem, uncertainty, superpositions, and entanglement, quantum communication has grown into a novel platform for exchanging information securely.
- O. Alshehri, Z.-H. Li, M.D. Al-Amri
- 2021
The topic of probability in quantum mechanics is rather vast. In this chapter it is discussed from the perspective of whether and in what sense quantum mechanics requires a generalization of the usual (Kolmogorovian) concept of probability.
Quantum Logic and Quantum Probability. Chapter. pp 339–347. Cite this chapter. Download book PDF. Enrico G. Beltrametti. 288 Accesses. 1 Citations. Abstract. By events, or yes-no experiments, pertaining to some physical system we understand the physical quantities, or observables, that admit only two outcomes.
ically relevant differences between abelian (classical) probability theory, nonabelian type I probability theory and non-type–I probability theory will be indicated in Section 7. 2 Algebras of Bounded Operators In this section we shall briefly describe the aspects of operator algebra theory which are most relevant to our topic.
