An attempt to understand relational quantum mechanics
- URL: http://arxiv.org/abs/2207.01380v2
- Date: Tue, 20 Sep 2022 13:19:15 GMT
- Title: An attempt to understand relational quantum mechanics
- Authors: Pekka Lahti, Juha-Pekka Pellonp\"a\"a
- Abstract summary: We search for a possible mathematical formulation of some of the key ideas of the relational interpretation of quantum mechanics.
We briefly overview some proposals of relational quantum mechanics for an axiomatic reconstruction of the Hilbert space formulation of quantum mechanics.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We search for a possible mathematical formulation of some of the key ideas of
the relational interpretation of quantum mechanics and study their
consequences. We also briefly overview some proposals of relational quantum
mechanics for an axiomatic reconstruction of the Hilbert space formulation of
quantum mechanics.
Related papers
- Some mathematical issues regarding a new approach towards quantum foundation [0.0]
The weakest possible theorem giving a foundation behind the Hilbert space formalism of quantum theory is stated.
The necessary postulates are formulated, and the mathematics is spelled out in details.
arXiv Detail & Related papers (2024-11-20T08:14:14Z) - Antiparticles in non-relativistic quantum mechanics [55.2480439325792]
Non-relativistic quantum mechanics was originally formulated to describe particles.
We show how the concept of antiparticles can and should be introduced in the non-relativistic case without appealing to quantum field theory.
arXiv Detail & Related papers (2024-04-02T09:16:18Z) - A note on Wigner-Yanase skew information-based uncertainty of quantum
channels [11.738923802183306]
variance of quantum channels involving a mixed state gives a hybrid of classical and quantum uncertainties.
We seek certain decomposition of variance into classical and quantum parts in terms of the Wigner-Yanase skew information.
arXiv Detail & Related papers (2023-12-20T06:41:02Z) - Generalized Quantum Mechanics [0.0]
A unified framework for different formulations of quantum theoery is introduced specifying what is meant by a quantum mechanical theory in general.
Theory of quantum mechanical theory in general.
Theory of quantum mechanical theory in general.
A unified framework for different formulations of quantum theoery is introduced specifying what is meant by a quantum mechanical theory in general.
arXiv Detail & Related papers (2021-10-21T16:50:27Z) - Characterizing quantum ensemble using geometric measure of quantum
coherence [1.5630592429258865]
We propose a quantumness quantifier for the quantum ensemble.
It satisfies the necessary axioms of a bonafide measure of quantumness.
We compute the quantumness of a few well-known ensembles.
arXiv Detail & Related papers (2021-04-19T07:37:27Z) - Quantum Consensus: an overview [0.0]
We report on a formal definition of quantum consensus and the protocols proposed.
Proposals are classified according to the quantum feature used to achieve agreement.
arXiv Detail & Related papers (2021-01-11T21:10:06Z) - Indistinguishability right from the start in standard quantum mechanics [0.0]
We discuss a reconstruction of standard quantum mechanics assuming indistinguishability right from the start, by appealing to quasi-set theory.
After recalling the fundamental aspects of the construction and introducing some improvements in the original formulation, we extract some conclusions for the interpretation of quantum theory.
arXiv Detail & Related papers (2020-11-22T01:02:19Z) - Quantum simulation of gauge theory via orbifold lattice [47.28069960496992]
We propose a new framework for simulating $textU(k)$ Yang-Mills theory on a universal quantum computer.
We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories.
arXiv Detail & Related papers (2020-11-12T18:49:11Z) - One-shot quantum error correction of classical and quantum information [10.957528713294874]
Quantum error correction (QEC) is one of the central concepts in quantum information science.
We provide a form of capacity theorem for both classical and quantum information.
We show that a demonstration of QEC by short random quantum circuits is feasible.
arXiv Detail & Related papers (2020-11-02T01:24:59Z) - Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
We review a number of issues in foundations of quantum theory and quantum cosmology.
These issues can be considered as a part of the scientific legacy of H.D. Zeh.
arXiv Detail & Related papers (2020-06-28T18:07:59Z) - Classical route to quantum chaotic motions [11.153740626675996]
We extract the information of a quantum motion and decode it into a certain orbit via a single measurable quantity.
We present a strategy to import classical chaos to a quantum system, revealing a connection between the classical and quantum worlds.
arXiv Detail & Related papers (2020-05-15T18:00:02Z)
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.