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The Wigner function for one and two-mode quantum systems is explicitely expressed in terms of the marginal distribution for the generic linearly transformed quadratures. Then, also the density operator of those systems is written in terms…

Quantum Physics · Physics 2009-10-30 G. M. D'Ariano , S. Mancini , V. I. Man'ko , P. Tombesi

Motivated by some well-known results in the phase space description of quantum optics and quantum information theory, we aim to describe the formalism of quantum field theory by explicitly considering the holomorphic representation for a…

Quantum Physics · Physics 2020-10-28 Jasel Berra-Montiel , Alberto Molgado

The search task is one of the most difficult when it comes to execution speed, and reducing the latter is important both when working with large data and with small samples, if they need to be processed frequently and in a limited time.…

Quantum Physics · Physics 2025-04-24 Karina Zakharova

We define and study a new type of quantum oracle, the quantum conditional oracle, which provides oracle access to the conditional probabilities associated with an underlying distribution. Amongst other properties, we (a) obtain speed-ups…

Quantum Physics · Physics 2016-09-07 Imdad S. B. Sardharwalla , Sergii Strelchuk , Richard Jozsa

We study a generalization of the Wigner function to arbitrary tuples of hermitian operators, which is a distribution uniquely characterized by the property that the marginals for all linear combinations of the given operators agree with the…

Quantum Physics · Physics 2020-07-09 René Schwonnek , Reinhard F. Werner

We discuss an approach to determine averages of the work, dissipated heat and variation of internal energy of an open quantum system driven by an external classical field. These quantities are measured by coupling the quantum system to a…

Quantum Physics · Physics 2022-03-23 Paolo Solinas , Mirko Amico , Nino N. Zanghì

Covariant affine integral quantization of the half-plane is studied and applied to the motion of a particle on the half-line. We examine the consequences of different quantizer operators built from weight functions on the half-plane. To…

Quantum Physics · Physics 2019-11-06 Jean Pierre Gazeau , Romain Murenzi

We review recent work that employs the framework of logical inference to establish a bridge between data gathered through experiments and their objective description in terms of human-made concepts. It is shown that logical inference…

Quantum Physics · Physics 2016-09-28 H. De Raedt , M. I. Katsnelson , K. Michielsen

Classical transport equations with probabilistic initial conditions can be viewed as quantum systems. In a discrete version they are probabilistic automata. The time-local probabilistic information is encoded in a classical wave function.…

Quantum Physics · Physics 2026-05-18 Christof Wetterich

Quantum computing is an emerging field on the multidisciplinary interface between physics, engineering, and computer science with the potential to make a large impact on computational intelligence (CI). The aim of this paper is to introduce…

In this article we introduce a quasiprobability distribution of work that is based on the Wigner function. This construction rests on the idea that the work done on an isolated system can be coherently measured by coupling the system to a…

Quantum Physics · Physics 2023-11-03 Federico Cerisola , Franco Mayo , Augusto J. Roncaglia

The use of operator methods of algebraic nature is shown to be a very powerful tool to deal with different forms of relativistic wave equations. The methods provide either exact or approximate solutions for various forms of differential…

Mathematical Physics · Physics 2015-06-23 G. Dattoli , E. Sabia , K. Górska , A. Horzela , K. A. Penson

It has recently been argued that soft-collinear effective theory for processes involving both soft and collinear partons contains a new soft-collinear mode, which can communicate between the soft and collinear sectors of the theory. The…

High Energy Physics - Phenomenology · Physics 2009-11-10 Thomas Becher , Richard J. Hill , Bjoern O. Lange , Matthias Neubert

Quantum field theory reconciles quantum mechanics and special relativity, and plays a central role in many areas of physics. We develop a quantum algorithm to compute relativistic scattering probabilities in a massive quantum field theory…

Quantum Physics · Physics 2015-06-03 Stephen P. Jordan , Keith S. M. Lee , John Preskill

We put forward an interpretation of scalar quantum field theory as relativistic quantum mechanics by curing well known problems related to locality. A probabilistic interpretation of quantum field theory similar to quantum mechanics is…

High Energy Physics - Theory · Physics 2010-12-20 W. Westra

We construct the regularised Wheeler-De Witt operator demanding that the algebra of constraints of quantum gravity is anomaly free. We find that for a subset of all wavefunctions being integrals of scalar densities this condition can be…

General Relativity and Quantum Cosmology · Physics 2016-08-15 A. Błaut , J. Kowalski-Glikman

We study quantum algorithms working on classical probability distributions. We formulate four different models for accessing a classical probability distribution on a quantum computer, which are derived from previous work on the topic, and…

Quantum Physics · Physics 2019-04-05 Aleksandrs Belovs

Exploiting the tension between the two dynamics of quantum theory (QT) in the Wigner's Friend thought experiment, we point out that the standard QT leads to inconsistency in observed probabilities of measurement outcomes between two…

Quantum Physics · Physics 2023-03-07 Shubhayan Sarkar , Debashis Saha

Recently, we proposed quantum language (or, measurement theory), which is characterized as the linguistic turn of the Copenhagen interpretation of quantum mechanics. We believe that this language has a great powet of description, and…

Statistics Theory · Mathematics 2014-02-05 Shiro Ishikawa

Relief algorithm is a feature selection algorithm used in binary classification proposed by Kira and Rendell, and its computational complexity remarkable increases with both the scale of samples and the number of features. In order to…

Quantum Physics · Physics 2024-05-14 Wen-Jie Liu , Pei-Pei Gao , Wen-Bin Yu , Zhi-Guo Qu , Ching-Nung Yang