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We study transformations of conventional (`classical') probabilities induced by context transitions. It is demonstrated that the transition from one complex of conditions to another induces a perturbation of the classical rule for the…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov

The classical limit problem of quantum mechanics is revisited on the basis of a scheme that enables a quantitative study of the way the quantum-classical agreement emerges while going through the intermediate mass range between the…

Quantum Physics · Physics 2015-05-13 Dipankar Home , Alok Kumar Pan , Arka Banerjee

Measurement plays a crucial role in a quantum system beyond just learning about the system state: it changes the post-measurement state and hence influences the subsequent time evolution; further, measurement can even create entanglement in…

Quantum Gases · Physics 2026-04-09 Huy Nguyen , Yu-Xin Wang , Jacob M. Taylor

We establish fundamental and general techniques for formal verification of quantum protocols. Quantum protocols are novel communication schemes involving the use of quantum-mechanical phenomena for representation, storage and transmission…

Quantum Physics · Physics 2007-05-23 Simon Gay , Rajagopal Nagarajan , Nikolaos Papanikolaou

Non-classical states of light find applications in enhancing the performance of optical interferometric experiments, with notable example of gravitational wave-detectors. Still, the presence of decoherence hinders significantly the…

Quantum Physics · Physics 2018-08-17 R. Demkowicz-Dobrzanski , M. Jarzyna , J. Kolodynski

Theory testing in the physical sciences has been revolutionized in recent decades by Bayesian approaches to probability theory. Here, I will consider Bayesian approaches to theory extensions, that is, theories like inflation which aim to…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-07 Luke A. Barnes

The measurement postulate of quantum theory stands in conflict with the laws of thermodynamics and has evoked debate regarding what actually constitutes a measurement. With the help of modern quantum statistical mechanics, we take the first…

Quantum Physics · Physics 2025-12-16 Emanuel Schwarzhans , Felix C. Binder , Marcus Huber , Maximilian P. E. Lock

One of the most important problems in Physics is how to reconcile Quantum Mechanics with General Relativity. Some authors have suggested that this may be realized at the expense of having to drop the quantum formalism in favor of a more…

Quantum Physics · Physics 2010-02-17 Miguel Navascues , Harald Wunderlich

Standard particle theory is based on quantized matter embedded in a classical geometry. Here, a complementary model is proposed, based on classical matter -- massive bodies, without quantum properties -- embedded in a quantum geometry. It…

Quantum Physics · Physics 2013-03-26 Craig Hogan

We model the dynamics of attractively interacting ultracold bosonic atoms in a quasi-one-dimensional wave-guide with additional harmonic trapping. Initially, we prepare the system in its ground state and then shift the zero of the harmonic…

Quantum Gases · Physics 2016-12-01 Bettina Gertjerenken , Timothy P. Wiles , Christoph Weiss

Model inadequacy and measurement uncertainty are two of the most confounding aspects of inference and prediction in quantitative sciences. The process of scientific inference (the inverse problem) and prediction (the forward problem)…

Data Analysis, Statistics and Probability · Physics 2017-11-30 Amir Shahmoradi

We demonstrate the quantum probabilistic rule (which differ from classical Bayes' formula by the cosinus factor) can be obtained on purely classical basis as a consequence of the perturbation effect of preparation procedures. In any case…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov

We present and analyze a proposal for a macroscopic quantum delayed-choice experiment with massive mechanical resonators. In our approach, the electronic spin of a single nitrogen-vacancy impurity is employed to control the coherent…

Quantum Physics · Physics 2019-07-11 Wei Qin , Adam Miranowicz , Guilu Long , J. Q. You , Franco Nori

The theory of linear quantum measurement has been developed for analysing the sensitivities of experimental devices that measure extremely weak signals, such as gravitational waves. It has successfully contributed to the theoretical…

Quantum Physics · Physics 2019-11-25 Yiqiu Ma , Xiang Li , Shengjun Yang , Yanbei Chen

New quantum degrees of freedom of space-time, originating at the Planck scale, could create a coherent indeterminacy and noise in the transverse position of massive bodies on macroscopic scales. An experiment is under development at…

General Relativity and Quantum Cosmology · Physics 2013-07-18 Craig Hogan

Quantum theory (QT) provides statistical predictions for various physical phenomena. The outcomes of these measurements are in general some numerical time series registered by some macroscopic instruments. The various empirical probability…

Quantum Physics · Physics 2015-05-13 Marian Kupczynski

A handful of recent papers has been devoted to proposals of experiments capable of testing some candidate quantum-gravity phenomena. These lecture notes emphasize those aspects that are most relevant to the questions that come to mind when…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giovanni Amelino-Camelia

The Bayesian formalism for a continuous measurement of solid-state qubits is derived for a model which takes into account several factors of the detector nonideality. In particular, we consider additional classical output and backaction…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Alexander N. Korotkov

Gedankenexperiments have consistently played a major role in the development of quantum theory. A paradigmatic example is Wheeler's delayed-choice experiment, a wave-particle duality test that cannot be fully understood using only classical…

A textbook interpretation of quantum physics is that quantum objects can be described in a particle or a wave picture, depending on the operations and measurements performed. Beyond this widely held believe, we demonstrate in this…