Qubit from the classical collision entropy
- URL: http://arxiv.org/abs/2205.00773v2
- Date: Thu, 12 Jan 2023 03:09:24 GMT
- Title: Qubit from the classical collision entropy
- Authors: Kelvin Onggadinata, Pawel Kurzynski, Dagomir Kaszlikowski
- Abstract summary: An orthodox formulation of quantum mechanics relies on a set of postulates in Hilbert space supplemented with rules to connect it with classical mechanics.
Here we deduce a qubit and its dynamics straightforwardly from a discrete deterministic dynamics and conservation of the classical collision entropy.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: An orthodox formulation of quantum mechanics relies on a set of postulates in
Hilbert space supplemented with rules to connect it with classical mechanics
such as quantisation techniques, correspondence principle, etc. Here we deduce
a qubit and its dynamics straightforwardly from a discrete deterministic
dynamics and conservation of the classical collision entropy. No Hilbert space
is required although it can be inferred from this approach if necessary.
Related papers
- Operationally classical simulation of quantum states [41.94295877935867]
A classical state-preparation device cannot generate superpositions and hence its emitted states must commute.
We show that no such simulation exists, thereby certifying quantum coherence.
Our approach is a possible avenue to understand how and to what extent quantum states defy generic models based on classical devices.
arXiv Detail & Related papers (2025-02-03T15:25:03Z) - Correspondence Between the Energy Equipartition Theorem in Classical
Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
In quantum mechanics, the energy per degree of freedom is not equally distributed.
We show that in the high-temperature regime, the classical result is recovered.
arXiv Detail & Related papers (2022-05-24T20:51:03Z) - Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
Quantization smears the gravitational singularity avoiding its localization in the configuration space.
Results suggest that the generic singularity of general relativity can be avoided at quantum level.
arXiv Detail & Related papers (2022-04-24T13:32:45Z) - Reformulation of Quantum Theory [0.0]
The standard quantum mechanics over a complex Hilbert space, is a Hamiltonian mechanics, regarding the Hilbert space as a linear real manifold equipped with its canonical symplectic form and restricting only to the expectation-value functions of Hermitian operators.
We reformulate the structure of quantum mechanics in the language of symplectic manifold and avoid linear structure of Hilbert space in such a way that the results can be stated for an arbitrary symplectic manifold.
arXiv Detail & Related papers (2022-01-03T17:15:35Z) - Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics.
We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
arXiv Detail & Related papers (2021-08-13T01:44:24Z) - Objective trajectories in hybrid classical-quantum dynamics [0.0]
We introduce several toy models in which to study hybrid classical-quantum evolution.
We present an unravelling approach to calculate the dynamics, and provide code to numerically simulate it.
arXiv Detail & Related papers (2020-11-11T19:00:34Z) - Classical limit of quantum mechanics for damped driven oscillatory
systems: Quantum-classical correspondence [0.0]
We develop a quantum formalism on the basis of a linear-invariant theorem.
We illustrate the correspondence of the quantum energy with the classical one in detail.
arXiv Detail & Related papers (2020-10-18T12:12:01Z) - Nonlinear Description of Quantum Dynamics. Generalized Coherent States [0.0]
In this work it is shown that there is an inherent nonlinear evolution in the dynamics of the so-called generalized coherent states.
The immersion of a classical manifold into the Hilbert space of quantum mechanics is employed.
arXiv Detail & Related papers (2020-09-07T16:47:51Z) - Phase space trajectories in quantum mechanics [0.0]
An adapted representation of quantum mechanics sheds new light on the relationship between quantum states and classical states.
In this approach the space of quantum states splits into a product of the state space of classical mechanics and a Hilbert space.
arXiv Detail & Related papers (2020-08-27T06:26:21Z) - Emergence of classical behavior in the early universe [68.8204255655161]
Three notions are often assumed to be essentially equivalent, representing different facets of the same phenomenon.
We analyze them in general Friedmann-Lemaitre- Robertson-Walker space-times through the lens of geometric structures on the classical phase space.
The analysis shows that: (i) inflation does not play an essential role; classical behavior can emerge much more generally; (ii) the three notions are conceptually distinct; classicality can emerge in one sense but not in another.
arXiv Detail & Related papers (2020-04-22T16:38:25Z) - From a quantum theory to a classical one [117.44028458220427]
We present and discuss a formal approach for describing the quantum to classical crossover.
The method was originally introduced by L. Yaffe in 1982 for tackling large-$N$ quantum field theories.
arXiv Detail & Related papers (2020-04-01T09:16:38Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.