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Understanding the physical nature of the D-Wave annealers remains a subject of active investigation. In this study, we analyze the sampling behavior of these systems and explore whether their results can be replicated using quantum and…

量子物理 · 物理学 2025-11-04 Vrinda Mehta , Hans De Raedt , Kristel Michielsen , Fengping Jin

Let $K = \{0,1,...,q-1\}$. We use a special class of translation invariant measures on $K^\mathbb{Z}$ called algebraic measures to study the entropy rate of a hidden Markov processes. Under some irreducibility assumptions of the Markov…

信息论 · 计算机科学 2012-08-30 Katy Marchand , Jaideep Mulherkar , Bruno Nachtergaele

Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium. Here we review the wide variety of distinct, but interconnected, relations that have been derived…

统计力学 · 物理学 2007-08-02 R. J. Harris , G. M. Schütz

We investigate the sensing performance of a single-qubit quantum thermometer within a non-Markovian dynamical framework. By employing an exactly numerical hierarchical equations of the motion method, we go beyond traditional paradigms of…

量子物理 · 物理学 2021-10-18 Ze-Zhou Zhang , Wei Wu

Characterizing nonequilibrium dynamics in quantum many-body systems is a challenging frontier of physics. In this Letter, we systematically construct solvable nonintegrable quantum circuits that exhibit exact hidden Markovian subsystem…

量子物理 · 物理学 2024-11-22 He-Ran Wang , Xiao-Yang Yang , Zhong Wang

The mixing of two different gases is one of the most common natural phenomena, with applications ranging from CO$_2$ capture to water purification. Traditionally, mixing is analyzed in the context of local thermal equilibrium, where systems…

量子物理 · 物理学 2025-07-08 Budhaditya Bhattacharjee , Rohit Kishan Ray , Dominik Šafránek

Interpreting partial information collected from systems subject to noise is a key problem across scientific disciplines. Theoretical frameworks often focus on the dynamics of variables that result from coarse-graining the internal states of…

统计力学 · 物理学 2022-08-18 Pedro E. Harunari , Annwesha Dutta , Matteo Polettini , Édgar Roldán

We use quantum diffusive trajectories to prove that the time evolution of two-qubit entanglement under spontaneous emission can be fully characterized by optimal continuous monitoring. We analytically determine this optimal unraveling and…

We analyze the appearance of non-Markovian effects in the dynamics of a bipartite system coupled to a reservoir, which can be described within a class of non-Markovian equations given by a generalized Lindblad structure. A novel master…

量子物理 · 物理学 2008-09-01 Bassano Vacchini

In this letter, we have considered an electron in a double quantum dot system interacting with a detector represented by a point contact. We present a dynamical model for the gradual decoherence of the density matrix due to the interaction…

介观与纳米尺度物理 · 物理学 2017-11-29 H. Cruz

Estimating entropy production from real observation data can be difficult due to finite resolution in both space and time and finite measurement statistics. We characterize the statistical error introduced by finite sample size and compare…

统计力学 · 物理学 2025-04-09 Jonas H. Fritz , Benjamin Ertel , Udo Seifert

Determining the Markovianity and non-Markovianity of a quantum process is a critical problem in the theory of open quantum systems, as their behaviors differ significantly in terms of complexity. It is well recognized that a quantum process…

量子物理 · 物理学 2023-10-30 Le Hu , Andrew N. Jordan

In this paper, we seek to understand the behavior of dynamical systems that are perturbed by a parameter that changes discretely in time. If we impose certain conditions, we can study certain embedded systems within a hybrid system as…

We propose a method for directly probing the dynamics of disentanglement of an initial two-qubit entangled state, under the action of a reservoir. We show that it is possible to detect disentanglement, for experimentally realizable examples…

量子物理 · 物理学 2007-05-23 M. Franca Santos , P. Milman , L. Davidovich , N. Zagury

Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually…

统计力学 · 物理学 2015-05-29 Aki Kutvonen , Tapio Ala-Nissilä , Jukka P. Pekola

We consider stochastic thermodynamics as a theory of statistical inference for experimentally observed fluctuating time-series. To that end, we introduce a general framework for quantifying the knowledge about the dynamical state of the…

统计力学 · 物理学 2015-05-19 Bernhard Altaner , Jürgen Vollmer

Systems with interacting degrees of freedom play a prominent role in stochastic thermodynamics. Our aim is to use the concept of detached path probabilities and detached entropy production for bipartite Markov processes and elaborate on a…

统计力学 · 物理学 2017-10-17 Jannik Ehrich , Andreas Engel

The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a…

量子物理 · 物理学 2022-10-26 Dong Wang , Ai-Jun Huang , Ross D. Hoehn , Fei Ming , Wen-Yang Sun , Jia-Dong Shi , Liu Ye , Sabre Kais

We propose a method to continually monitor the energy of a quantum system. We show that by having some previous knowledge of the system's dynamics, but not all of it, one can use the measured energy to determine many other quantities, such…

量子物理 · 物理学 2019-03-29 Gabriel P. Martins , Nadja K. Bernardes , Marcelo F. Santos

Full information about a many-body quantum system is usually out-of-reach due to the exponential growth -- with the size of the system -- of the number of parameters needed to encode its state. Nonetheless, in order to understand the…

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