Reports on Mathematical Physics最新文献_第10页

NEW QUANTUM AND LCD CODES FROM CYCLIC CODES OVER A FINITE NON-CHAIN RING 有限非链环上循环码的新量子码和LCD码

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00027-7

Nadeem ur Rehman, Mohd Azmi, Ghulam Mohammad

{"title":"NEW QUANTUM AND LCD CODES FROM CYCLIC CODES OVER A FINITE NON-CHAIN RING","authors":"Nadeem ur Rehman, Mohd Azmi, Ghulam Mohammad","doi":"10.1016/S0034-4877(23)00027-7","DOIUrl":"10.1016/S0034-4877(23)00027-7","url":null,"abstract":"<div>In this work, we study cyclic codes of length n over a finite commutative non-chain ring\u0000<math><mrow><mi>ℛ</mi><mo>=</mo><msub><mi>F</mi><mi>q</mi></msub><mrow><mo>[</mo><mrow><mi>u</mi><mo>,</mo><mi>v</mi></mrow><mo>]</mo></mrow><mo>/</mo><mrow><mo>〈</mo><mrow><msup><mi>u</mi><mn>2</mn></msup><mo>−</mo><mi>γ</mi><mi>u</mi><mo>,</mo><msup><mi>v</mi><mn>2</mn></msup><mo>−</mo><mi>ϵ</mi><mi>v</mi><mo>,</mo><mi>u</mi><mi>v</mi><mo>−</mo><mi>v</mi><mi>u</mi></mrow><mo>〉</mo></mrow></mrow></math> where\u0000<math><mrow><mi>γ</mi><mo>,</mo><mi>ϵ</mi><mo>∈</mo><msubsup><mi>F</mi><mi>q</mi><mo>*</mo></msubsup></mrow></math> and we find new and better quantum error-correcting codes than previously known quantum error correcting codes. Then certain constraints are imposed on the generator polynomials of cyclic codes, so these codes become linear complementary dual codes (in short LCD codes). We then verify that the Gray image of linear complementary dual codes of length n over\u0000<math><mi>ℛ</mi></math> is a linear complementary dual code of length 4n over\u0000<math><mrow><msub><mi>F</mi><mi>q</mi></msub></mrow></math> by establishing a Gray map.</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 2","pages":"Pages 237-250"},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42311099","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

AN UNBOUNDED GENERALIZATION OF TOMITA's OBSERVABLE ALGEBRAS II 富田可观测代数的无界推广2

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00028-9

Hiroshi Inoue

引用次数: 2

MAGNETIC FIELDS ON THE TANGENT BUNDLE OVER KÄHLERIAN MANIFOLDS KÉHLERIAN流形上切丛上的磁场

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00022-8

Nour Elhouda Djaa, Aydin Gezer, Mustapha Djaa

引用次数: 0

WEAKLY-EINSTEIN CONDITIONS OVER LOCALLY CONFORMALLY FLAT LORENTZIAN THREE-MANIFOLDS 局部共形平坦洛伦兹三流形上的弱爱因斯坦条件

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00024-1

Parvane Atashpeykar, Amirhesam Zaeim , Ali Haji-Badali

引用次数: 0

ON A SPECIAL COUPLED LATTICE SYSTEM OF THE DISCRETE BOUSSINESQ TYPE 一类特殊的离散boussinesq型耦合晶格系统

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00026-5

Guesh Yfter Tela, Da-jun Zhang

引用次数: 0

WEAKLY-EINSTEIN CONDITIONS OVER LOCALLY CONFORMALLY FLAT LORENTZIAN THREE-MANIFOLDS 局部共形平坦洛伦兹三流形上的弱爱因斯坦条件

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/s0034-4877(23)00024-1

Parvane Atashpeykar, A. Zaeim, A. Haji-Badali

引用次数: 0

ON BOUNDARY CONDITIONS AND THE RIGGED HILBERT SPACE FORMALISM OF QUANTUM MECHANICS 量子力学的边界条件和操纵希尔伯特空间形式

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00025-3

Nadia Boudi, Zakariae Ennadifi

引用次数: 0

ON SPACETIME ALGEBRA AND ITS RELATIONS WITH NEGATIVE MASSES 论时空代数及其与负质量的关系

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00023-X

N. Debergh, J.-P. Petit

引用次数: 0

GRAY's DECOMPOSITION AND WARPED PRODUCT OF GENERALIZED RICCI RECURRENT SPACETIMES 广义RICCI循环时空的GRAY分解与弯曲积

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-02-01 DOI: 10.1016/S0034-4877(23)00013-7

Uday Chand De, Sameh Shenawy, Abdallah Abdelhameed Syied

{"title":"GRAY's DECOMPOSITION AND WARPED PRODUCT OF GENERALIZED RICCI RECURRENT SPACETIMES","authors":"Uday Chand De, Sameh Shenawy, Abdallah Abdelhameed Syied","doi":"10.1016/S0034-4877(23)00013-7","DOIUrl":"10.1016/S0034-4877(23)00013-7","url":null,"abstract":"<div>Generalized Ricci recurrent spacetimes (GR)n are investigated in Gray's seven subspaces. It is proved that a (GR)n spacetime in all subspaces but one is an Einstein spacetime. The subspace <math><mi>ℐ</mi></math> cannot contain a (GR)n spacetime. Further, the subspaces <math><mrow><mi>ℐ</mi><mo>⊕</mo><mi>A</mi></mrow></math> and <math><mrow><mi>ℐ</mi><mo>⊕</mo><mi>B</mi></mrow></math> reduce to <math><mi>A</mi></math> and <math><mi>B</mi></math>, respectively. Next, we prove that a (GR)n spacetime is Ricci semi-symmetric if and only if either the spacetime is Einstein or the vector field Al is closed. Further, it is shown that the Ricci tensor of (GR)n is Riemann compatible if Al is closed. Finally, sufficient conditions are given on a (GR)n warped product manifold to guarantee that the factor manifolds are Einstein. Moreover, it is shown that a generalized Ricci recurrent GRW spacetime is an Einstein spacetime.</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 1","pages":"Pages 103-116"},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48948630","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: 2

APPROXIMATION STATES AND FIXED POINTS OF QUANTUM CHANNELS* 量子通道的近似态和不动点

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-02-01 DOI: 10.1016/S0034-4877(23)00014-9

Yuan Li, Fan Li, Shan Chen, Yanni Chen

{"title":"APPROXIMATION STATES AND FIXED POINTS OF QUANTUM CHANNELS*","authors":"Yuan Li, Fan Li, Shan Chen, Yanni Chen","doi":"10.1016/S0034-4877(23)00014-9","DOIUrl":"10.1016/S0034-4877(23)00014-9","url":null,"abstract":"<div>In this note, we extend some results on positive and completely positive trace-preserving maps (called quantum channels in the CPTP case) from finite-dimensional to infinite-dimensional Hilbert space. Specifically, we mainly consider whether the fixed state of a quantum channel Φ on <math><mi>T</mi><mrow><mo>(</mo><mi>ℋ</mi><mo>)</mo></mrow></math> exists, where <math><mi>T</mi><mrow><mo>(</mo><mi>ℋ</mi><mo>)</mo></mrow></math> is the Banach algebra of all trace-class operators on the Hilbert space <math><mi>ℋ</mi></math>. We show that there exist the approximation states ρn for every quantum channel Φ. In particular, there is a quantum channel on <math><mi>T</mi><mrow><mo>(</mo><mi>ℋ</mi><mo>)</mo></mrow></math>, which has not a fixed state. Also, we get the relationship between the fixed points of <math><mrow><mi>Φ</mi><mrow><mo>(</mo><mrow><mo>|</mo><mi>A</mi><mo>|</mo></mrow><mo>)</mo></mrow><mo>=</mo><mo>|</mo><mi>A</mi><mo>|</mo></mrow></math> and Φ(A) = ωA, where ω is the complex number with |ω| = 1 and <math><mrow><mi>A</mi><mo>∈</mo><mi>T</mi><mrow><mo>(</mo><mi>ℋ</mi><mo>)</mo></mrow></mrow></math>.</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 1","pages":"Pages 117-129"},"PeriodicalIF":0.8,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42624572","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