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On the Generators of Quantum Dynamical Semigroups with Invariant Subalgebras 具有不变子代数的量子动力半群的产生器
IF 0.8 4区 物理与天体物理
Open Systems & Information Dynamics Pub Date : 2022-02-11 DOI: 10.1142/S1230161223500014
Markus Hasenöhrl, Matthias C. Caro
{"title":"On the Generators of Quantum Dynamical Semigroups with Invariant Subalgebras","authors":"Markus Hasenöhrl, Matthias C. Caro","doi":"10.1142/S1230161223500014","DOIUrl":"https://doi.org/10.1142/S1230161223500014","url":null,"abstract":"The problem of characterizing GKLS-generators and CP-maps with an invariant von Neumann algebra [Formula: see text] appeared in different guises in the literature. We prove two unifying results, which hold even for weakly closed *-algebras: first, we show how to construct a normal form for [Formula: see text]-invariant GKLS-generators, if a normal form for [Formula: see text]-invariant CP-maps is known — rendering the two problems essentially equivalent. Second, we provide a normal form for [Formula: see text]-invariant CP-maps if [Formula: see text] is atomic (which includes the finite-dimensional case). As an application we reproduce several results from the literature as direct consequences of our characterizations and thereby point out connections between different fields.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"13 1","pages":"2350001:1-2350001:24"},"PeriodicalIF":0.8,"publicationDate":"2022-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80644542","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
Accessible Maps in a Group of Classical or Quantum Channels 经典通道或量子通道群中的可访问映射
IF 0.8 4区 物理与天体物理
Open Systems & Information Dynamics Pub Date : 2022-01-29 DOI: 10.1142/S1230161222500020
Koorosh Sadri, F. Shahbeigi, Z. Puchała, K. Życzkowski
{"title":"Accessible Maps in a Group of Classical or Quantum Channels","authors":"Koorosh Sadri, F. Shahbeigi, Z. Puchała, K. Życzkowski","doi":"10.1142/S1230161222500020","DOIUrl":"https://doi.org/10.1142/S1230161222500020","url":null,"abstract":"We study the problem of accessibility in a set of classical and quantum channels admitting a group structure. Group properties of the set of channels, and the structure of the closure of the analyzed group [Formula: see text] plays a pivotal role in this regard. The set of all convex combinations of the group elements contains a subset of channels that are accessible by a dynamical semigroup. We demonstrate that accessible channels are determined by probability vectors of weights of a convex combination of the group elements, which depend neither on the dimension of the space on which the channels act, nor on the specific representation of the group. Investigating geometric properties of the set [Formula: see text] of accessible maps we show that this set is nonconvex, but it enjoys the star-shape property with respect to the uniform mixture of all elements of the group. We demonstrate that the set [Formula: see text] covers a positive volume in the polytope of all convex combinations of the elements of the group.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"33 1","pages":"2250002:1-2250002:40"},"PeriodicalIF":0.8,"publicationDate":"2022-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73394779","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
Non-Hermitian Physics and Master Equations 非厄米物理和主方程
IF 0.8 4区 物理与天体物理
Open Systems & Information Dynamics Pub Date : 2022-01-14 DOI: 10.1142/S1230161222500044
Federico Roccati, G. Palma, F. Ciccarello, F. Bagarello
{"title":"Non-Hermitian Physics and Master Equations","authors":"Federico Roccati, G. Palma, F. Ciccarello, F. Bagarello","doi":"10.1142/S1230161222500044","DOIUrl":"https://doi.org/10.1142/S1230161222500044","url":null,"abstract":"A longstanding tool to characterize the evolution of open Markovian quantum systems is the GKSL (Gorini-Kossakowski-Sudarshan-Lindblad) master equation. However, in some cases, open quantum systems can be effectively described with non-Hermitian Hamiltonians, which have attracted great interest in the last twenty years due to a number of unconventional properties, such as the appearance of exceptional points. Here, we present a short review of these two different approaches aiming in particular to highlight their relation and illustrate different ways of connecting non-Hermitian Hamiltonian to a GKSL master equation for the full density matrix.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"53 1","pages":"2250004:1-2250004:20"},"PeriodicalIF":0.8,"publicationDate":"2022-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90536926","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: 15
Information Dynamics: In Classical and Quantum Systems 信息动力学:在经典和量子系统
IF 0.8 4区 物理与天体物理
Open Systems & Information Dynamics Pub Date : 2022-01-01 DOI: 10.1007/978-3-030-96745-1
T. Dittrich
{"title":"Information Dynamics: In Classical and Quantum Systems","authors":"T. Dittrich","doi":"10.1007/978-3-030-96745-1","DOIUrl":"https://doi.org/10.1007/978-3-030-96745-1","url":null,"abstract":"","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"52 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79135080","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
Three Favourite Dimensions of Andrzej: Along His Path to a Scientific Discovery 安杰伊最喜欢的三个维度:沿着他的科学发现之路
IF 0.8 4区 物理与天体物理
Open Systems & Information Dynamics Pub Date : 2021-12-01 DOI: 10.1142/s1230161221500177
K. Życzkowski
{"title":"Three Favourite Dimensions of Andrzej: Along His Path to a Scientific Discovery","authors":"K. Życzkowski","doi":"10.1142/s1230161221500177","DOIUrl":"https://doi.org/10.1142/s1230161221500177","url":null,"abstract":"Some achievements of the late Andrzej Kossakowski in the field of statistical physics and quantum theory are presented. We recall also his attempt to find an analytical solution of the 3-dimensional Ising model.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"13 1","pages":"2150017:1-2150017:6"},"PeriodicalIF":0.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88532193","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
Indistinguishability-Enhanced Entanglement Recovery by Spatially Localized Operations and Classical Communication 空间定位操作和经典通信的不可分辨增强纠缠恢复
IF 0.8 4区 物理与天体物理
Open Systems & Information Dynamics Pub Date : 2021-12-01 DOI: 10.1142/S1230161221500207
Matteo Piccolini, Farzam Nosrati, R. Morandotti, R. Franco
{"title":"Indistinguishability-Enhanced Entanglement Recovery by Spatially Localized Operations and Classical Communication","authors":"Matteo Piccolini, Farzam Nosrati, R. Morandotti, R. Franco","doi":"10.1142/S1230161221500207","DOIUrl":"https://doi.org/10.1142/S1230161221500207","url":null,"abstract":"We extend a procedure exploiting spatial indistinguishability of identical particles to recover the spoiled entanglement between two qubits interacting with Markovian noisy environments. Here, the spatially localized operations and classical communication (sLOCC) operational framework is used to activate the entanglement restoration from the indistinguishable constituents. We consider the realistic scenario where noise acts for the whole duration of the process. Three standard types of noises are considered: a phase damping, a depolarizing, and an amplitude damping channel. Within this general scenario, we find the entanglement to be restored in an amount proportional to the degree of spatial indistinguishability. These results elevate sLOCC to a practical framework for accessing and utilizing quantum state protection within a quantum network of spatially indistinguishable subsystems.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"2 1","pages":"2150020:1-2150020:28"},"PeriodicalIF":0.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82010715","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: 3
The Legacy of Andrzej Kossakowski 安德烈·科萨科夫斯基的遗产
IF 0.8 4区 物理与天体物理
Open Systems & Information Dynamics Pub Date : 2021-12-01 DOI: 10.1142/s1230161221500153
D. Chruściński
{"title":"The Legacy of Andrzej Kossakowski","authors":"D. Chruściński","doi":"10.1142/s1230161221500153","DOIUrl":"https://doi.org/10.1142/s1230161221500153","url":null,"abstract":"I review here a small part of Andrzej Kossakowski scientific activity focusing on his pioneering contribution to the evolution of open quantum systems (celebrated Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) master equation) and positive maps in operator algebras. These particular topics turned out to be of primary importance for fundamentals of quantum physics and the rapid development of modern quantum information theory.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"77 1","pages":"2150015:1-2150015:19"},"PeriodicalIF":0.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84961167","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
Remembering Andrzej Kossakowski
IF 0.8 4区 物理与天体物理
Open Systems & Information Dynamics Pub Date : 2021-12-01 DOI: 10.1142/s1230161221500165
S. Pascazio
{"title":"Remembering Andrzej Kossakowski","authors":"S. Pascazio","doi":"10.1142/s1230161221500165","DOIUrl":"https://doi.org/10.1142/s1230161221500165","url":null,"abstract":"When someone disappears, where do their ideas go?","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"12 1","pages":"2150016:1-2150016:6"},"PeriodicalIF":0.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88311272","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 Markov-Dobrushin Inequality for Quantum Channels 量子信道的Markov-Dobrushin不等式
IF 0.8 4区 物理与天体物理
Open Systems & Information Dynamics Pub Date : 2021-12-01 DOI: 10.1142/s1230161221500189
L. Accardi, Y. Lu, A. Souissi
{"title":"A Markov-Dobrushin Inequality for Quantum Channels","authors":"L. Accardi, Y. Lu, A. Souissi","doi":"10.1142/s1230161221500189","DOIUrl":"https://doi.org/10.1142/s1230161221500189","url":null,"abstract":"We propose a quantum extension of the Markov-Dobrushin inequality. As an application, we estimate the Markov-Dobrushin constant for some classes of quantum Markov channels, in particular for the Pauli channel, widely studied in quantum information theory.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"53 1","pages":"2150018:1-2150018:18"},"PeriodicalIF":0.8,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86137224","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: 3
The Quantum Mechanics Canonically Associated to Free Probability I: Free Momentum and Associated Kinetic Energy 与自由概率I相关的量子力学:自由动量和相关动能
IF 0.8 4区 物理与天体物理
Open Systems & Information Dynamics Pub Date : 2021-09-22 DOI: 10.1142/S1230161222500172
L. Accardi, Tarek Hamdi, Y. Lu
{"title":"The Quantum Mechanics Canonically Associated to Free Probability I: Free Momentum and Associated Kinetic Energy","authors":"L. Accardi, Tarek Hamdi, Y. Lu","doi":"10.1142/S1230161222500172","DOIUrl":"https://doi.org/10.1142/S1230161222500172","url":null,"abstract":"After a short review of the quantum mechanics canonically associated with a classical real valued random variable with all moments, we begin to study the quantum mechanics canonically associated to the standard semi-circle random variable [Formula: see text], characterized by the fact that its probability distribution is the semi-circle law [Formula: see text] on [Formula: see text]. We prove that, in the identification of [Formula: see text] with the [Formula: see text]-mode interacting Fock space [Formula: see text], defined by the orthogonal polynomial gradation of [Formula: see text], [Formula: see text] is mapped into position operator and its canonically associated momentum operator [Formula: see text] into [Formula: see text] times the [Formula: see text]-Hilbert transform [Formula: see text] on [Formula: see text]. In the first part of the present paper, after briefly describing the simpler case of the [Formula: see text]-harmonic oscillator, we find an explicit expression for the action, on the [Formula: see text]-orthogonal polynomials, of the semi-circle analogue of the translation group [Formula: see text] and of the semi-circle analogue of the free evolution [Formula: see text], respectively, in terms of Bessel functions of the first kind and of confluent hyper-geometric series. These results require the solution of the inverse normal order problem on the quantum algebra canonically associated to the classical semi-circle random variable and are derived in the second part of the present paper. Since the problem to determine, with purely analytic techniques, the explicit form of the action of [Formula: see text] and [Formula: see text] on the [Formula: see text]-orthogonal polynomials is difficult, the above mentioned results show the power of the combination of these techniques with those developed within the algebraic approach to the theory of orthogonal polynomials.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"20 1","pages":"2250017:1-2250017:31"},"PeriodicalIF":0.8,"publicationDate":"2021-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87105283","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: 1
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