Open Systems & Information Dynamics最新文献_第3页

A Perspective on Lindblad's Non-Equilibrium Entropy 林德布莱德非平衡熵的透视

IF 0.8 4区物理与天体物理

Open Systems & Information Dynamics Pub Date : 2023-05-12 DOI: 10.1142/S123016122380001X

E. Aurell, R. Kawai

引用次数: 0

Random Lindblad Operators Obeying Detailed Balance 服从详细平衡的随机Lindblad操作符

IF 0.8 4区物理与天体物理

Open Systems & Information Dynamics Pub Date : 2023-04-06 DOI: 10.1142/S1230161223500075

W. Tarnowski, Dariusz Chru'sci'nski, S. Denisov, K. Życzkowski

{"title":"Random Lindblad Operators Obeying Detailed Balance","authors":"W. Tarnowski, Dariusz Chru'sci'nski, S. Denisov, K. Życzkowski","doi":"10.1142/S1230161223500075","DOIUrl":"https://doi.org/10.1142/S1230161223500075","url":null,"abstract":"We introduce different ensembles of random Lindblad operators [Formula: see text], which satisfy quantum detailed balance condition with respect to given stationary state [Formula: see text] of size [Formula: see text], and investigate their spectral properties. Such operators are known as ‘Davies generators’ and their eigenvalues are real; however, their spectral densities depend on [Formula: see text]. We propose different structured ensembles of random matrices, which allow us to tackle the problem analytically in the extreme cases of Davies generators corresponding to random [Formula: see text] with a nondegenerate spectrum or the maximally mixed stationary state, [Formula: see text]. Interestingly, in the latter case the density can be reasonably well approximated by integrating out the imaginary component of the spectral density characteristic to the ensemble of random unconstrained Lindblad operators. The case of asymptotic states with partially degenerated spectra is also addressed. Finally, we demonstrate that similar universal properties hold for the detailed balance-obeying Kolmogorov generators obtained by applying superdecoherence to an ensemble of random Davies generators. In this way we construct an ensemble of random classical generators with imposed detailed balance condition.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"13 1","pages":"2350007:1-2350007:32"},"PeriodicalIF":0.8,"publicationDate":"2023-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86733487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Exploring the Limits of Controlled Markovian Quantum Dynamics with Thermal Resources 利用热资源探索受控马尔可夫量子动力学的极限

IF 0.8 4区物理与天体物理

Open Systems & Information Dynamics Pub Date : 2023-03-01 DOI: 10.1142/S1230161223500051

F. V. Ende, Emanuel Malvetti, G. Dirr, T. Schulte-Herbrüggen

{"title":"Exploring the Limits of Controlled Markovian Quantum Dynamics with Thermal Resources","authors":"F. V. Ende, Emanuel Malvetti, G. Dirr, T. Schulte-Herbrüggen","doi":"10.1142/S1230161223500051","DOIUrl":"https://doi.org/10.1142/S1230161223500051","url":null,"abstract":"Our aim is twofold: First, we rigorously analyse the generators of quantum-dynamical semigroups of thermodynamic processes. We characterise a wide class of gksl-generators for quantum maps within thermal operations and argue that every infinitesimal generator of (a one-parameter semigroup of) Markovian thermal operations belongs to this class. We completely classify and visualise them and their non-Markovian counterparts for the case of a single qubit. Second, we use this description in the framework of bilinear control systems to characterise reachable sets of coherently controllable quantum systems with switchable coupling to a thermal bath. The core problem reduces to studying a hybrid control system (“toy model”) on the standard simplex allowing for two types of evolution: (i) instantaneous permutations and (ii) a one-parameter semigroup of [Formula: see text]-stochastic maps. We generalise upper bounds of the reachable set of this toy model invoking new results on thermomajorisation. Using tools of control theory we fully characterise these reachable sets as well as the set of stabilisable states as exemplified by exact results in qutrit systems.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"1 1","pages":"2350005:1-2350005:53"},"PeriodicalIF":0.8,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83653794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4

G-Circulant Quantum Markov Semigroups g循环量子马尔可夫半群

IF 0.8 4区物理与天体物理

Open Systems & Information Dynamics Pub Date : 2023-03-01 DOI: 10.1142/s1230161223500026

J. R. Bolaños-Servín, R. Quezada, Josué Vázquez-Becerra

引用次数: 0

Hopf Structure for the q-Lévy-Meixner Oscillator Algebra q- lvac - mexner振子代数的Hopf结构

IF 0.8 4区物理与天体物理

Open Systems & Information Dynamics Pub Date : 2023-03-01 DOI: 10.1142/s123016122350004x

A. Riahi, H. Rebei, Amine Ettaieb, Z. Alhussain, H. Elmonser

引用次数: 0

“What Is Life?”: Open Quantum Systems Approach “生命是什么?”:开放量子系统方法

IF 0.8 4区物理与天体物理

Open Systems & Information Dynamics Pub Date : 2023-02-01 DOI: 10.1142/s1230161222500160

Irina Basieva, Andrei Khrennikov

{"title":"“What Is Life?”: Open Quantum Systems Approach","authors":"Irina Basieva, Andrei Khrennikov","doi":"10.1142/s1230161222500160","DOIUrl":"https://doi.org/10.1142/s1230161222500160","url":null,"abstract":"Recently, the quantum formalism and methodology have been used in application to the modelling of information processing in biosystems, mainly to the process of decision making and psychological behaviour (but some applications in microbiology and genetics are considered as well). Since a living system is fundamentally open (an isolated biosystem is dead), the theory of open quantum systems is the most powerful tool for life-modelling. In this paper, we turn to the famous Schrödinger’s book “What is life?” and reformulate his speculations in terms of this theory. Schrödinger pointed to order preservation as one of the main distinguishing features of biosystems. Entropy is the basic quantitative measure of order. In physical systems, entropy has the tendency to increase (Second Law of Thermodynamics for isolated classical systems and dissipation in open classical and quantum systems). Schrödinger emphasized the ability of biosystems to beat this tendency. We demonstrate that systems processing information in the quantum-like way can preserve the order-structure expressed by the quantum (von Neumann or linear) entropy. We emphasize the role of the special class of quantum dynamics and initial states generating the camel-like graphs for entropy-evolution in the process of interaction with a new environment <math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi mathvariant=\"cal\">ℰ</mi></math>: 1) entropy (disorder) increasing in the process of adaptation to the specific features of <math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mi mathvariant=\"cal\">ℰ</mi></math>; 2) entropy decreasing (order increasing) resulting from adaptation; 3) the restoration of order or even its increase for limiting steady state. In the latter case the steady state entropy can be even lower than the entropy of the initial state.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"239 ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138507237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The Quantum Mechanics Canonically Associated to Free Probability II: The Normal and Inverse Normal Order Problem 与自由概率相关的量子力学II:正态和反正态阶问题

IF 0.8 4区物理与天体物理

Open Systems & Information Dynamics Pub Date : 2022-12-01 DOI: 10.1142/s1230161222500184

L. Accardi, Tarek Hamdi, Y. Lu

引用次数: 1

Linear Maps as Sufficient Criteria for Entanglement Depth and Compatibility in Many-Body Systems 线性映射作为多体系统纠缠深度和相容性的充分准则

IF 0.8 4区物理与天体物理

Open Systems & Information Dynamics Pub Date : 2022-09-01 DOI: 10.1142/S1230161222500111

M. Lewenstein, Guillem Muller-Rigat, Jordi Tura i Brugués, A. Sanpera

{"title":"Linear Maps as Sufficient Criteria for Entanglement Depth and Compatibility in Many-Body Systems","authors":"M. Lewenstein, Guillem Muller-Rigat, Jordi Tura i Brugués, A. Sanpera","doi":"10.1142/S1230161222500111","DOIUrl":"https://doi.org/10.1142/S1230161222500111","url":null,"abstract":"Physical transformations are described by linear maps that are completely positive and trace preserving (CPTP). However, maps that are positive (P) but not completely positive (CP) are instrumental to derive separability/entanglement criteria. Moreover, the properties of such maps can be linked to entanglement properties of the states they detect. Here, we extend the results presented in [34], where sufficient separability criteria for bipartite systems were derived. In particular, we analyze the entanglement depth of an [Formula: see text]-qubit system by proposing linear maps that, when applied to any state, result in a biseparable state for the [Formula: see text] partitions, i.e., [Formula: see text]-entanglement depth. Furthermore, we derive criteria to detect arbitrary [Formula: see text]-entanglement depth tailored to states in close vicinity of the completely depolarized state (the normalized identity matrix). We also provide separability (or [Formula: see text]-entanglement depth) conditions in the symmetric sector, including the diagonal states. Finally, we suggest how similar map techniques can be used to derive sufficient conditions for a set of expectation values to be compatible with separable states or local-hidden-variable theories. We dedicate this paper to the memory of the late Andrzej Kossakowski, our spiritual and intellectual mentor in the field of linear maps.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"47 1","pages":"2250011:1-2250011:23"},"PeriodicalIF":0.8,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74095466","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Brief Journey through Collision Models for Multipartite Open Quantum Dynamics 多部开放量子动力学的碰撞模型简介

IF 0.8 4区物理与天体物理

Open Systems & Information Dynamics Pub Date : 2022-09-01 DOI: 10.1142/S1230161222500159

M. Cattaneo, G. Giorgi, R. Zambrini, S. Maniscalco

{"title":"A Brief Journey through Collision Models for Multipartite Open Quantum Dynamics","authors":"M. Cattaneo, G. Giorgi, R. Zambrini, S. Maniscalco","doi":"10.1142/S1230161222500159","DOIUrl":"https://doi.org/10.1142/S1230161222500159","url":null,"abstract":"The quantum collision models are a useful method to describe the dynamics of an open quantum system by means of repeated interactions between the system and some particles of the environment, which are usually termed “ancillas”. In this paper, we review the main collision models for the dynamics of multipartite open quantum systems, which are composed of several subsystems. In particular, we are interested in models that are based on elementary collisions between the subsystems and the ancillas, and that simulate global and/or local Markovian master equations in the limit of infinitesimal timestep. After discussing the mathematical details of the derivation of a generic collision-based master equation, we provide the general ideas at the basis of the collision models for multipartite systems, we discuss their strengths and limitations, and we show how they may be simulated on a quantum computer. Moreover, we analyze some properties of a collision model based on entangled ancillas, derive the master equation it generates for small timesteps, and prove that the coefficients of this master equation are subject to a constraint that limits their generality. Finally, we present an example of such collision model with two bosonic ancillas entangled in a two-mode squeezed thermal state.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"31 1","pages":"2250015:1-2250015:26"},"PeriodicalIF":0.8,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84694129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

On Quasi-Inversion of Quantum Channels in 2 and in Higher Dimensions 二维和高维量子通道的拟反转

IF 0.8 4区物理与天体物理

Open Systems & Information Dynamics Pub Date : 2022-09-01 DOI: 10.1142/s1230161222500147

V. Karimipour

引用次数: 0