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Infinite Dimensional Analysis Quantum Probability and Related Topics最新文献

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Two Dimensional Quantum Bernoulli Process and the Related Central Limit Theorem 二维量子伯努利过程及其中心极限定理
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2022-10-21 DOI: 10.1142/s0219025722500278
Y. Lu
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引用次数: 0
On Irreducibility of Gaussian Quantum Markov Semigroups 高斯量子马尔可夫半群的不可约性
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2022-10-07 DOI: 10.1142/s021902572240001x
F. Fagnola, D. Poletti
{"title":"On Irreducibility of Gaussian Quantum Markov Semigroups","authors":"F. Fagnola, D. Poletti","doi":"10.1142/s021902572240001x","DOIUrl":"https://doi.org/10.1142/s021902572240001x","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89398272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ON THE RELATIONSHIPS BETWEEN COVARIANCE AND THE DECOHERENCE-FREE SUBALGEBRA OF A QUANTUM MARKOV SEMIGROUP 量子马尔可夫半群的协方差与无退相干子代数的关系
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2022-10-07 DOI: 10.1142/s0219025722500229
E. Sasso, V. Umanità
{"title":"ON THE RELATIONSHIPS BETWEEN COVARIANCE AND THE DECOHERENCE-FREE SUBALGEBRA OF A QUANTUM MARKOV SEMIGROUP","authors":"E. Sasso, V. Umanità","doi":"10.1142/s0219025722500229","DOIUrl":"https://doi.org/10.1142/s0219025722500229","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73193248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantum Wasserstein distance of order 1 between channels 信道间的量子瓦瑟斯坦距离为1阶
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2022-10-07 DOI: 10.1142/s0219025723500066
Rocco Duvenhage, Mathumo Mapaya
{"title":"Quantum Wasserstein distance of order 1 between channels","authors":"Rocco Duvenhage, Mathumo Mapaya","doi":"10.1142/s0219025723500066","DOIUrl":"https://doi.org/10.1142/s0219025723500066","url":null,"abstract":"We set up a general theory for a quantum Wasserstein distance of order 1 in an operator algebraic framework, extending recent work in finite dimensions. In addition, this theory applies not only to states, but also to channels, giving a metric on the set of channels from one composite system to another. The additivity and stability properties of this metric are studied.","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75167034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Sufficient Statistic and Rao-Blackwell Theorem in Quantum Probability 量子概率论中的充分统计量与Rao-Blackwell定理
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2022-10-07 DOI: 10.1142/s0219025722400057
K. Sinha
{"title":"Sufficient Statistic and Rao-Blackwell Theorem in Quantum Probability","authors":"K. Sinha","doi":"10.1142/s0219025722400057","DOIUrl":"https://doi.org/10.1142/s0219025722400057","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77430139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Before thy throne I slip in gently, hoping nobody will notice: A memorial to Robin Hudson (1940-2021) 在你的宝座前，我轻轻地溜进去，希望没有人会注意到:罗宾·哈德森(1940-2021)
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2022-10-07 DOI: 10.1142/S0219025722400045
J. Gough
{"title":"Before thy throne I slip in gently, hoping nobody will notice: A memorial to Robin Hudson (1940-2021)","authors":"J. Gough","doi":"10.1142/S0219025722400045","DOIUrl":"https://doi.org/10.1142/S0219025722400045","url":null,"abstract":"We dedicate this to the life and work of Robin Hudson -- a mathematical physicist who developed the peerless quantum stochastic calculus, but who also inspired generations of researchers with both his intellect and wit.","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85179453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The average values of a kind of functionals in LP and concentration without measure 一种功能的平均值在LP和浓度没有测量
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2022-10-07 DOI: 10.1142/s0219025722500242
Cheng-shi Liu
{"title":"The average values of a kind of functionals in LP and concentration without measure","authors":"Cheng-shi Liu","doi":"10.1142/s0219025722500242","DOIUrl":"https://doi.org/10.1142/s0219025722500242","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73443832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new construction of shearlets shearlets的新结构
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2022-09-30 DOI: 10.1142/s0219025722500217
Pooran Ghaderihasab, Ahmad Ahmadi
{"title":"A new construction of shearlets","authors":"Pooran Ghaderihasab, Ahmad Ahmadi","doi":"10.1142/s0219025722500217","DOIUrl":"https://doi.org/10.1142/s0219025722500217","url":null,"abstract":"<p>In order to achieve optimally sparse approximations of signals exhibiting anisotropic singularities, the shearlet systems that are systems of functions generated by one generator with dilation, shear transformation and translation operators applied to it were introduced. In this paper, we will construct the shearlet systems that are not only Parseval frames for <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mo stretchy=\"false\">(</mo><msup><mrow><mi>ℝ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo stretchy=\"false\">)</mo></math></span><span></span> but they are also obtained from an <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mi>A</mi><mi>B</mi></math></span><span></span>-MRA associated with wavelet multiresolution, and by using this approach, we obtain the corresponding filters for these systems. For this purpose, the tensor product of the corresponding wavelet scaling function and a compact support bump function is used to construct the scaling function associated with the shearlet.</p>","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138524132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Universality theorems for asymmetric spaces 非对称空间的通用性定理
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2022-08-31 DOI: 10.1142/s0219025722500175
A. Alimov
{"title":"Universality theorems for asymmetric spaces","authors":"A. Alimov","doi":"10.1142/s0219025722500175","DOIUrl":"https://doi.org/10.1142/s0219025722500175","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72939771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dilation, functional model and a complete unitary invariant for C.0 Γn-contractions C.0的膨胀、函数模型和完全酉不变量Γn-contractions
IF 0.9 4区 数学
Infinite Dimensional Analysis Quantum Probability and Related Topics Pub Date : 2022-08-31 DOI: 10.1142/s0219025722500205
Sourav Pal
{"title":"Dilation, functional model and a complete unitary invariant for C.0 Γn-contractions","authors":"Sourav Pal","doi":"10.1142/s0219025722500205","DOIUrl":"https://doi.org/10.1142/s0219025722500205","url":null,"abstract":"","PeriodicalId":50366,"journal":{"name":"Infinite Dimensional Analysis Quantum Probability and Related Topics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83086625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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