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The primary aim of the present paper is to attract the attention of particle physicists to new developments in studying squeezed and correlated states of the electromagnetic field as well as of those working on the latest topic to new…

High Energy Physics - Phenomenology · Physics 2019-08-17 V. V. Dodonov , I. M. Dremin , O. V. Man'ko , V. I. Man'ko , P. G. Polynkin

With 2025 being declared the Year of Quantum Science and Technology, our contribution seeks to provide a fresh perspective on Schr\"odinger's cat thought experiment. We reinterpret this experiment by viewing it through the lens of quantum…

Quantum Physics · Physics 2025-12-23 Lucas L. Brugger , Cristhiano Duarte , Bruno F. Rizzuti

We review a geometric approach to classification and examination of quantum correlations in composite systems. Since quantum information tasks are usually achieved by manipulating spin and alike systems or, in general, systems with a finite…

Quantum Physics · Physics 2019-03-27 A. Sawicki , T. Maciążek , M. Oszmaniec , K. Karnas , K. Kowalczyk-Murynka , M. Kuś

We look for upper bounds of the relative energy difference of two pure quantum states with a fixed fidelity between them or upper bounds of the fidelity for a fixed relative energy difference. The results depend on the concrete families of…

Quantum Physics · Physics 2011-12-20 Victor V. Dodonov

Quantum physics allows for entanglement between microscopic and macroscopic objects, described by discrete and continuous variables, respectively. As in Schr\"odinger's famous cat gedanken experiment, a box enclosing the objects can keep…

Quantum Physics · Physics 2019-07-18 Bastian Hacker , Stephan Welte , Severin Daiss , Armin Shaukat , Stephan Ritter , Lin Li , Gerhard Rempe

We present some basic inequalities between the classical and quantum values of free energy, entropy and mean energy. We investigate the transition from the deterministic case (classical mechanics) to the probabilistic case (quantum…

Mathematical Physics · Physics 2022-07-12 Lev Sakhnovich

We introduce the concept of a "classical observable" as an operator with vanishingly small quantum fluctuations on a set of density matrices. It is shown how to construct them for a time evolved pure state. The study of classical…

Quantum Physics · Physics 2014-04-29 Michiel Wouters

The interest in quantum-optical states confined in finite-dimensional Hilbert spaces has recently been stimulated by the progress in quantum computing, quantum-optical state preparation, and measurement techniques, in particular, by the…

Quantum Physics · Physics 2007-05-23 Adam Miranowicz , Wieslaw Leonski , Nobuyuki Imoto

We analyze the strength of polarization correlations between two light beams that can be achieved in the semiclassical regime using statistical mixtures of coherent states and binary on/off detectors. Under certain symmetry assumptions, the…

Given a multiparticle quantum state, one may ask whether it can be represented as a thermal state of some Hamiltonian with k-particle interactions only. The distance from the exponential family defined by these thermal states can be…

Quantum Physics · Physics 2013-03-08 Sönke Niekamp , Tobias Galla , Matthias Kleinmann , Otfried Gühne

Metric spaces are characterized by distances between pairs of elements. Systems that are physically similar are expected to present smaller distances (between their densities, wave functions and potentials) than systems that present…

Quantum Physics · Physics 2019-02-18 T. de Picoli , I. D' Amico , V. V. França

The interaction of matter with quantum light leads to phenomena which cannot be explained by semiclassical approaches. Of particular interest are states with broad photon number distributions which allow processes with high-order Fock…

Quantum Physics · Physics 2021-01-13 H. Rose , D. V. Popolitova , O. V. Tikhonova , T. Meier , P. R. Sharapova

Let us imagine that there is an overall quantum theory (not necessarily recognized yet) of matter and energy ({\it i.e.}, of elementary fermions and bosons) interacting with the physical spacetime (treated on a quantum level). Since states…

High Energy Physics - Theory · Physics 2007-05-23 Wojciech Krolikowski

With the purpose to introduce a useful tool for researches concerning foundations of quantum mechanics and applications to quantum technologies, here we study three quantumness quantifiers for bipartite optical systems: one based on…

Quantum Physics · Physics 2011-06-13 G. Brida , M. Bondani , I. P. Degiovanni , M. Genovese , M. G. A. Paris , I. Ruo Berchera , V. Schettini

The notion of distance in Hilbert space is relevant in many scenarios. In particular, distances between quantum states play a central role in quantum information theory. An appropriate measure of distance is the quantum Jensen Shannon…

Quantum Physics · Physics 2008-04-24 A. P. Majtey , A. Borras , M. Casas , P. W. Lamberti , A. Plastino

We recall the framework of a consistent quantum description of polarization of light. Accordingly, the degree of polarization of a two-mode state $\hat \rho$ of the quantum radiation field can be defined as a distance of a related state…

Quantum Physics · Physics 2015-05-19 Iulia Ghiu , Gunnar Bjork , Paulina Marian , Tudor A. Marian

In this paper we propose the idea that there is a corresponding relation between quantum states and points of the complex projective space, given that the number of dimensions of the Hilbert space is finite. We check this idea through…

Mathematical Physics · Physics 2007-05-23 Bei Jia , Xi-guo Lee

We consider different settings of the task to distinguish pure orthogonal quantum states under local operations and a limited amount of classical communication. In the first setting, the spatially separated parties are allowed to perform…

Quantum Physics · Physics 2020-05-12 Saronath Halder , Chirag Srivastava

The ability of matter to be superposed at two different locations while being intrinsically connected by a quantum phase is among the most counterintuitive predictions of quantum physics. While such superpositions have been created for a…

Quantum Physics · Physics 2016-04-13 D. Kienzler , C. Flühmann , V. Negnevitsky , H. -Y. Lo , M. Marinelli , D. Nadlinger , J. P. Home

Schr\"odinger's famous Gedankenexperiment has inspired multiple generations of physicists to think about apparent paradoxes that arise when the logic of quantum physics is applied to macroscopic objects. The development of quantum…

Quantum Physics · Physics 2021-03-22 Demid V. Sychev , Valeriy A. Novikov , Khurram K. Pirov , Christoph Simon , A. I. Lvovsky