Related papers: A smoothing theory for open quantum systems: The least mean square approach

A smoothing theory for open quantum systems: The least mean square approach

URL: http://arxiv.org/abs/2112.13330v1
Date: Sun, 26 Dec 2021 07:53:51 GMT
Title: A smoothing theory for open quantum systems: The least mean square approach
Authors: Kentaro Ohki
Abstract summary: We propose a new quantum smoothing theory based on the least mean squared errors. The least mean square estimate of quantum physical quantity composes from symmetric part and skew part.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Unlike the classical smoothing theory, it is well known that quantum smoothers are, in general, not well--defined by the quantum conditional expectation. The purpose of this paper is to propose a new quantum smoothing theory based on the least mean squared errors. The least mean square estimate of quantum physical quantity composes from symmetric part and skew part, and we developed the recursive equations, respectively.

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)
A Theory of Quantum Jumps [44.99833362998488]
We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
arXiv Detail & Related papers (2024-04-16T11:00:46Z)
On Some Quantum Correction to the Coulomb Potential in Generalized Uncertainty Principle Approach [0.0]
We consider a modified Schr"odinger equation resulting from a generalized uncertainty principle. As the resulting equation cannot be solved by common exact approaches, we propose a Bethe ansatz approach.
arXiv Detail & Related papers (2024-01-07T12:07:35Z)
Quantum Relativity [0.0]
A new quantum postulate is suggested to restore classical locality and causality to quantum physics. This postulate supports the EPR view that quantum mechanics is incomplete, while also staying compatible to the Bohr view that nothing exists beyond the quantum.
arXiv Detail & Related papers (2023-02-04T02:05:25Z)
On the Common Logical Structure of Classical and Quantum Mechanics [0.0]
We show that quantum theory does satisfy the classical distributivity law once the full meaning of quantum propositions is properly taken into account. We show that the lattice of statistical propositions in classical mechanics follows the same structure, yielding an analogue non-commutative sublattice of classical propositions.
arXiv Detail & Related papers (2022-06-21T18:31:53Z)
Quantum nonreciprocal interactions via dissipative gauge symmetry [18.218574433422535]
One-way nonreciprocal interactions between two quantum systems are typically described by a cascaded quantum master equation. We present a new approach for obtaining nonreciprocal quantum interactions that is completely distinct from cascaded quantum systems.
arXiv Detail & Related papers (2022-03-17T15:34:40Z)
Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems. Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
arXiv Detail & Related papers (2021-08-30T23:50:05Z)
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)
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)
Quantum Mechanical description of Bell's experiment assumes Locality [91.3755431537592]
Bell's experiment description assumes the (Quantum Mechanics-language equivalent of the classical) condition of Locality. This result is complementary to a recently published one demonstrating that non-Locality is necessary to describe said experiment. It is concluded that, within the framework of Quantum Mechanics, there is absolutely no reason to believe in the existence of non-Local effects.
arXiv Detail & Related papers (2020-02-27T15:04:08Z)

This list is automatically generated from the titles and abstracts of the papers in this site.