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Analysis of non-Markovian systems and memory induced phenomena poses an everlasting challenge for physics. As a paradigmatic example we consider a classical Brownian particle of mass $M$ subjected to an external force and exposed to…

Statistical Mechanics · Physics 2024-05-21 Mateusz Wiśniewski , Jerzy Łuczka , Jakub Spiechowicz

The understanding of memory effects arising from the interaction between system and environment is a key for engineering quantum thermodynamic devices beyond the standard Markovian limit. We study the performance of measurement-based…

Quantum Physics · Physics 2020-01-14 Obinna Abah , Mauro Paternostro

We study and compare the sensitivity of multiple non-Markovianity indicators for a qubit subjected to general phase-covariant noise. For each of the indicators, we derive analytical conditions to detect the dynamics as non-Markovian. We…

Quantum Physics · Physics 2019-03-21 Jose Teittinen , Henri Lyyra , Boris Sokolov , Sabrina Maniscalco

Answers to the question how a classical world emerges from underlying quantum physics are revisited, connected and extended as follows. First, three distinct concepts are compared: decoherence in open quantum systems, consistent/decoherent…

Quantum Physics · Physics 2023-07-31 Philipp Strasberg

Simulations of stochastic processes play an important role in the quantitative sciences, enabling the characterisation of complex systems. Recent work has established a quantum advantage in stochastic simulation, leading to quantum devices…

Quantum Physics · Physics 2019-05-20 Farzad Ghafari , Nora Tischler , Carlo Di Franco , Jayne Thompson , Mile Gu , Geoff J. Pryde

We demonstrate in this paper that the probabilities for sequential measurements have features very different from those of single-time measurements. First, they cannot be modelled by a classical stochastic process. Second, they are…

Quantum Physics · Physics 2009-11-11 Charis Anastopoulos

Non-Markovian effects are ubiquitous in physical quantum systems and remain a significant challenge to achieving high-quality control and reliable quantum computation, but due to their inherent complexity, are rarely characterized. Past…

Quantum Physics · Physics 2019-06-06 Adam Winick , Joel J. Wallman , Joseph Emerson

Quantum data hiding encodes a hidden classical bit to a pair of quantum states that is difficult to distinguish using a particular set of measurement, denoted as $M$. In this work, we explore quantum data hiding in two contexts involving…

Quantum Physics · Physics 2025-02-04 Yunkai Wang , Graeme Smith

In this manuscript, we analyze universal quantum teleportation in the presence of memory or memory-less dynamics with applications of partial collapse measurement operators. Our results show that the combined effects of memory or…

Quantum Physics · Physics 2024-06-27 Vivek Balasaheb Sabale , Atul Kumar , Subhashish Banerjee

We propose a method for the algorithmic quantum simulation of memory effects described by integrodifferential evolution equations. It consists in the systematic use of perturbation theory techniques and a Markovian quantum simulator. Our…

Quantum Physics · Physics 2017-03-01 U. Alvarez-Rodriguez , R. Di Candia , J. Casanova , M. Sanz , E. Solano

The quantum master equation (QME), used to describe the Markov process of interaction between atoms and field, has a number of significant drawbacks. It is extremely memory intensive, and also inapplicable to the case of long-term memory in…

Quantum Physics · Physics 2024-10-29 Yuri Ozhigov , You Jiangchuan

We present a reformulation of quantum mechanics in terms of probability measures and functions on a general classical sample space and in particular in terms of probability densities and functions on phase space. The basis of our proceeding…

Quantum Physics · Physics 2007-05-23 Werner Stulpe

Identifying non-Markovianity with non-divisibility, we propose a measure for non-Markovinity of quantum process. Three examples are presented to illustrate the non-Markovianity, measure for non-Markovianity is calculated and discussed.…

Quantum Physics · Physics 2015-05-27 S. C. Hou , X. X. Yi , S. X. Yu , C. H. Oh

The Copenhagen interpretation of quantum mechanics assumes the existence of the classical deterministic Newtonian world. We argue that in fact the Newton determinism in classical world does not hold and in classical mechanics there is…

Quantum Physics · Physics 2015-05-14 Igor V. Volovich

The photoluminescence intermittency (blinking) of quantum dots is interesting because it is an easily-measured quantum process whose transition statistics cannot be explained by Fermi's Golden Rule. Commonly, the transition statistics are…

Mesoscale and Nanoscale Physics · Physics 2023-01-23 Roberto N. Munoz , Laszlo Frazer , Gangcheng Yuan , Paul Mulvaney , Felix A. Pollock , Kavan Modi

Recent years have seen significant activity on the problem of using data for the purpose of learning properties of quantum systems or of processing classical or quantum data via quantum computing. As in classical learning, quantum learning…

Quantum Physics · Physics 2024-04-17 Leonardo Banchi , Jason Luke Pereira , Sharu Theresa Jose , Osvaldo Simeone

Associative memory refers to the ability to relate a memory with an input and targets the restoration of corrupted patterns. It has been intensively studied in classical physical systems, as in neural networks where an attractor dynamics…

Quantum Physics · Physics 2024-08-27 Adrià Labay-Mora , Eliana Fiorelli , Roberta Zambrini , Gian Luca Giorgi

The main distinction between classical mechanics and quantum mechanics is the lack in the latter of a full mechanical determinism: different final states can arise from the same physical state, after the measurement. No hidden variable is…

Quantum Physics · Physics 2015-05-13 Francesco Caravaglios

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,…

Record statistics is the study of how new highs or lows are created and sustained in any dynamical process. The study of the highest or lowest records constitute the study of extreme values. This paper represents an exploration of record…

Statistical Mechanics · Physics 2015-03-27 Shashi C. L. Srivastava , Arul Lakshminarayan