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We study the concepts of compatibility and separability and their implications for quantum and classical systems. These concepts are illustrated on a macroscopic model for the singlet state of a quantum system of two entangled spin 1/2 with…

Quantum Physics · Physics 2012-03-28 Diederik Aerts , Christian de Ronde , Bart D'Hooghe

We consider the interaction dynamics of a classical oscillator and a quantum two-level system for different pure-dephasing Hamiltonians of the type $\widehat{H}(q,p)=H_C(q,p)\boldsymbol{1}+H_I(q,p)\widehat\sigma_z$. This type of systems…

Chemical Physics · Physics 2023-03-15 Giovanni Manfredi , Antoine Rittaud , Cesare Tronci

We derive and implement a general method to characterize the nonclassicality in compound discrete- and continuous-variable systems. For this purpose, we introduce the operational notion of conditional hybrid nonclassicality which relates to…

Quantum Physics · Physics 2017-09-29 E. Agudelo , J. Sperling , L. S. Costanzo , M. Bellini , A. Zavatta , W. Vogel

Some of the most enduring questions in physics--including the quantum measurement problem and the quantization of gravity--involve the interaction of a quantum system with a classical environment. Two linearly coupled harmonic oscillators…

Quantum Physics · Physics 2007-05-23 Rachael M. McDermott , Ian H. Redmount

The occurrence of revivals of quantum entanglement between separated open quantum systems has been shown not only for dissipative non-Markovian quantum environments but also for classical environments in absence of back-action. While the…

Quantum Physics · Physics 2017-07-25 Rosario Lo Franco , Giuseppe Compagno

The apparent difficulty in recovering classical nonlinear dynamics and chaos from standard quantum mechanics has been the subject of a great deal of interest over the last twenty years. For open quantum systems - those coupled to a…

Quantum Physics · Physics 2007-05-23 M. J. Everitt , T. D. Clark , P. B. Stiffell , J. F. Ralph , A. R. Bulsara , C. J. Harland

Following a review of quantum-classical hybrid dynamics, we discuss the ensuing proliferation of observables and relate it to measurements of (would-be) quantum mechanical degrees of freedom performed by (would-be) classical ones (if they…

Quantum Physics · Physics 2013-03-06 Hans-Thomas Elze

p-Mechanics is a consistent physical theory which describes both quantum and classical mechanics simultaneously. We continue the development of p-mechanics by introducing the concept of states. The set of coherent states we introduce allow…

Quantum Physics · Physics 2007-05-23 Alastair Brodlie

Modern cyberattacks are increasingly complex, posing significant challenges to classical machine learning methods, particularly when labeled data is limited and feature interactions are highly non-linear. In this study we investigates the…

Cryptography and Security · Computer Science 2026-01-06 Jessica A. Sciammarelli , Waqas Ahmed

Universal features of chaotic quantum dynamics underlie our understanding of thermalization in closed quantum systems and the complexity of quantum computations. Reversible automaton circuits, comprised of classical logic gates, have…

Quantum Physics · Physics 2026-03-11 Ben T. McDonough , Claudio Chamon , Justin H. Wilson , Thomas Iadecola

We consider a hybrid quantum system consisting of a qubit system continuously evolving according to its fixed own Hamiltonian and a quantum computer. The qubit system couples to a quantum computer through a fixed interaction Hamiltonian,…

Quantum Physics · Physics 2021-10-13 Ryosuke Sakai , Akihito Soeda , Mio Murao

We study the quantum-classical correspondence of an experimentally accessible system of interacting bosons in a tilted triple-well potential. With the semiclassical analysis, we get a better understanding of the different phases of the…

Quantum Physics · Physics 2021-10-20 E. R. Castro , Jorge Chavez-Carlos , I. Roditi , Lea F. Santos , Jorge G. Hirsch

The control of quantum systems requires the ability to change and read-out the phase of a system. The non-commutativity of canonical conjugate operators can induce phases on quantum systems, which can be employed for implementing phase…

This is the second part of a three-part overview, in which we derive the category-theoretic backbone of quantum theory from a process ontology, treating quantum theory as a theory of systems, processes and their interactions. In this part…

Quantum Physics · Physics 2016-05-30 Bob Coecke , Aleks Kissinger

A canonical formulation of coupled classical-quantum dynamics is presented. The theory is named symmetric hybrid dynamics. It is proved that under some general conditions its predictions are consistent with the full quantum ones. Moreover…

Quantum Physics · Physics 2007-05-23 Nuno Costa Dias , Joao Nuno Prata

The semiclassical propagation of spin coherent states is considered in complex phase space. For two time-independent systems we find the appropriate classical trajectories and show that their combined contributions are able to describe…

Quantum Physics · Physics 2007-12-04 M. Novaes

The transport of ultra-cold atoms in magneto-optical potentials provides a clean setting in which to investigate the distinct predictions of classical versus quantum dynamics for a system with coupled degrees of freedom. In this system,…

We present a class of hybrid classical systems using quantum co-processors and point out that unlike purely quantum computers, such hybrids can be both universal and Turing complete; we introduce such quantum-classical hybrids as…

Quantum Physics · Physics 2018-08-15 Edward H. "Ned" Allen , Cristian S. Calude

We use spin coherent states to compare classical and quantum evolution of a simple paradigmatic, discrete-time quantum dynamical system exhibiting chaotic behavior in the classical limit. The spin coherent states are employed to define a…

Quantum Physics · Physics 2020-10-29 Marek Kuś , Robert Przybycień

Classical optomechanical systems feature self-sustained oscillations, where multiple periodic orbits at different amplitudes coexist. We study how this multistability is realized in the quantum regime, where new dynamical patterns appear…

Quantum Physics · Physics 2016-04-19 C. Schulz , A. Alvermann , L. Bakemeier , H. Fehske