scholarly journals Quantum Mechanics Entropy and a Quantum Version of the H-Theorem

10.5772/32832 ◽  
2012 ◽  
Author(s):  
Paul Bracken
Keyword(s):  
Quantum Mechanics ◽  
Quantum Version ◽  
H Theorem

A quantum version of the classical Szilard engine

Open Physics ◽  
2014 ◽  
Vol 12 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Paul Bracken
Keyword(s):  
Quantum Mechanics ◽  
Closed Form ◽  
Thermodynamic Quantities ◽  
Time Quantum ◽  
Quantum Version ◽  
Quantum Formulation

AbstractA reinvention of the classical Maxwel demon was proposed by Szilard around the time quantum mechanics was developed. His model continues to attract great interest, especially quantum versions of it. A quantum formulation of the Szilard engine is introduced and investigated here. It is made to operate through specified cycles in such a way that all thermodynamic quantities which pertain to the system can be evaluated exactly in closed form along each sequence of steps through a cycle. It is shown that as a result of the structure of the model, it is possible to calculate and compare various thermodynamic quantities as the engine proceeds around a well defined specific cycle.

scholarly journals Quantization of Blackjack: Quantum Basic Strategy and Advantage

2021 ◽  
Author(s):  
Yushi Mura ◽  
Hiroki Wada
Keyword(s):  
Quantum Mechanics ◽  
Quantum Circuit ◽  
Quantum Computers ◽  
Quantum Game ◽  
Basic Strategy ◽  
Card Games ◽  
Gambling Theory ◽  
Quantum Version ◽  
Near Future ◽  
Classical Game

Abstract Quantum computers that process information by harnessing the remarkable power of quantum mechanics are increasingly being put to practical use. In the future, their impact will be felt in numerous fields, including in online casino games. This is one of the reasons why quantum gambling theory has garnered considerable attention. Studies have shown that the quantum gambling theory often yields nontrivial consequences that classical theory cannot interpret. We formulated blackjack game, which is one of the most famous card games, as a quantum game and found possible quantum entanglement between strategies. We also devised a quantum circuit reproducing classical blackjack. This circuit can be realized in the near future when quantum computers are commonplace. Furthermore, we showed that the player’s expectation increases compared to the classical game using quantum basic strategy, which is a quantum version of the popular basic strategy of blackjack.

scholarly journals QUANTUM MECHANICS AS BAYESIAN COMPLEX PROBABILITY THEORY

1994 ◽  
Vol 09 (28) ◽  
pp. 2571-2586 ◽  
Author(s):  
SAUL YOUSSEF
Keyword(s):  
Probability Theory ◽  
Quantum Mechanics ◽  
Additional Assumption ◽  
Superposition Principle ◽  
Scalar Particle ◽  
Wave Functions ◽  
Path Integral Representation ◽  
Quantum Version ◽  
Frequency Interpretation ◽  
Mixed Systems

As a possible alternative to conventional quantum mechanics, the Bayesian version of probability theory is extended to include complex probabilities. An additional assumption of realism restores a frequency interpretation while coexisting with Bell’s theorem. Such complex probabilities are shown to have a superposition principle, to include wave functions which are expansions in eigenfunctions of Hermitian operators, to have a path-integral representation and to describe both pure and mixed systems. A scalar particle in Rd is shown to obey the Schrödinger equation with mass, vector potential and metric appearing as moments of a fundamental probability. Illustrative examples are given. The quantum version of Bayesian inference is discussed.

scholarly journals On the Generalized Uncertainty Principle

2021 ◽  
Author(s):  
Ming-Cheng Chen ◽  
Chao-Yang Lu ◽  
Jian-Wei Pan
Keyword(s):  
Quantum Mechanics ◽  
Quantum Gravity ◽  
Uncertainty Principle ◽  
Thought Experiment ◽  
Generalized Uncertainty Principle ◽  
Planck Scale ◽  
Physical Systems ◽  
New Directions ◽  
Quantum Version ◽  
Coupling Principle

Generalized Uncertainty Principle (GUP), which manifests a minimal Planck length in quantum spacetime, is central in various quantum gravity theories and has been widely used to describe the Planck-scale phenomenon. Here, we propose a thought experiment based on GUP – as a quantum version of Galileo's falling bodies experiment – to show that the experimental results cannot be consistently described in quantum mechanics. This paradox arises from the interaction of two quantum systems in an interferometer, a photon and a mirror, with different effective Planck constants. Our thought experiment rules out the widely used GUP, and establishes a Quantum Coupling Principle that two physical systems of different effective Planck constants cannot be consistently coupled in quantum mechanics. Our results point new directions to quantum gravity.

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