In this paper we propose a general method to quantify how "quantum" a set of quantum states is. The idea is to gauge the quantumness of the set by the worst-case difficulty of transmitting the stat...
{"title":"Squeezing quantum information through a classical channel","authors":"A. FuchsChristopher, SasakiMasahide","doi":"10.5555/2011544.2011545","DOIUrl":"https://doi.org/10.5555/2011544.2011545","url":null,"abstract":"In this paper we propose a general method to quantify how \"quantum\" a set of quantum states is. The idea is to gauge the quantumness of the set by the worst-case difficulty of transmitting the stat...","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2003-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71126000","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}
We try to minimize the number of qubits needed to factor an integer of n bits using Shor's algorithm on a quantum computer. We introduce a circuit which uses 2n + 3 qubits and 0(n3lg(n)) elementary...
{"title":"Circuit for Shor's algorithm using 2n+3 qubits","authors":"BeauregardStephane","doi":"10.5555/2011517.2011525","DOIUrl":"https://doi.org/10.5555/2011517.2011525","url":null,"abstract":"We try to minimize the number of qubits needed to factor an integer of n bits using Shor's algorithm on a quantum computer. We introduce a circuit which uses 2n + 3 qubits and 0(n3lg(n)) elementary...","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2003-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71125995","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}
In this essay we discuss the issue of quantum information and recent nuclear magnetic resonance (NMR) experiments. We explain why these experiments should be regarded as quantum information process...
{"title":"NMR quantum information processing and entanglement","authors":"LaflammeRaymond, CoryDavid, NegrevergneCamille, ViolaLorenza","doi":"10.5555/2011422.2011427","DOIUrl":"https://doi.org/10.5555/2011422.2011427","url":null,"abstract":"In this essay we discuss the issue of quantum information and recent nuclear magnetic resonance (NMR) experiments. We explain why these experiments should be regarded as quantum information process...","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2002-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71126030","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}
An atomic representation of a Herbrand model (ARM) is a finite set of (not necessarily ground) atoms over a given Herbrand universe. Each ARM represents a possibly infinite Herbrand interpretation. This concept has emerged independently in different branches of computer science as a natural and useful generalization of the concept of finite Herbrand interpretation. It was shown that several recursively decidable problems on finite Herbrand models (or interpretations) remain decidable on ARMs.The following problems are essential when working with ARMs: Deciding the equivalence of two ARMs, deciding subsumption between ARMs, and evaluating clauses over ARMs. These problems were shown to be decidable, but their computational complexity has remained obscure so far. The previously published decision algorithms require exponential space. In this paper, we prove that all mentioned problems are coNP-complete.
{"title":"Working with ARMs","authors":"G. Gottlob, R. Pichler","doi":"10.1006/INCO.2000.2915","DOIUrl":"https://doi.org/10.1006/INCO.2000.2915","url":null,"abstract":"An atomic representation of a Herbrand model (ARM) is a finite set of (not necessarily ground) atoms over a given Herbrand universe. Each ARM represents a possibly infinite Herbrand interpretation. This concept has emerged independently in different branches of computer science as a natural and useful generalization of the concept of finite Herbrand interpretation. It was shown that several recursively decidable problems on finite Herbrand models (or interpretations) remain decidable on ARMs.The following problems are essential when working with ARMs: Deciding the equivalence of two ARMs, deciding subsumption between ARMs, and evaluating clauses over ARMs. These problems were shown to be decidable, but their computational complexity has remained obscure so far. The previously published decision algorithms require exponential space. In this paper, we prove that all mentioned problems are coNP-complete.","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2001-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88660600","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}
We argue that, although labeled deduction can be quite costly in general, the complexity of keeping track of the label constraints built to encode the structure of the proofs does not necessarily render the strategy impractical. The point is illustrated with LLKE, a tableaux system for specification and test of categorial grammars. The paper presents and discusses the application of theorem proving in labeled analytic tableaux to natural language processing (NLP), describes algorithms and rules for tableau generation, introduces a new label-checking strategy, and identifies places where the complexity of the task can be tamed.
{"title":"Using Tableaux to Automate the Lambek and Other Categorial Calculi","authors":"S. Luz","doi":"10.1006/INCO.1999.2853","DOIUrl":"https://doi.org/10.1006/INCO.1999.2853","url":null,"abstract":"We argue that, although labeled deduction can be quite costly in general, the complexity of keeping track of the label constraints built to encode the structure of the proofs does not necessarily render the strategy impractical. The point is illustrated with LLKE, a tableaux system for specification and test of categorial grammars. The paper presents and discusses the application of theorem proving in labeled analytic tableaux to natural language processing (NLP), describes algorithms and rules for tableau generation, introduces a new label-checking strategy, and identifies places where the complexity of the task can be tamed.","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2000-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74835096","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}
Abstract Given a term rewriting system R and a normalizable term t, a redex is needed if in any reduction sequence of t to a normal form, this redex will be contracted. Roughly, R is sequential if there is an optimal reduction strategy in which only needed redexes are contracted. More generally, G. Huet and J.-J. Levy have defined the sequentiality of a predicate P on partially evaluated terms (1991, “Computational Logic: Essays in Honor of Alan Robinson”, MIT Press, Cambridge, MA, pp. 415–443). We show here that the sequentiality of P is definable in SkS, the monadic second-order logic with k successors, provided P is definable in SkS. We derive several known and new consequences of this remark: (1) strong sequentiality, as defined by Huet and Levy of a left linear (possibly overlapping) rewrite system is decidable, (2) NV-sequentiality, as defined in (M. Oyamaguchi, 1993, SIAM J. Comput.19, 424–437), is decidable, even in the case of overlapping rewrite systems (3) sequentiality of any linear shallow rewrite system is decidable. Then we describe a direct construction of a tree automaton recognizing the set of terms that do have needed redexes, which again, yields immediate consequences: (1) Strong sequentiality of possibly overlapping linear rewrite systems is decidable in EXPTIME, (2) For strongly sequential rewrite systems, needed redexes can be read directly on the automaton.
摘要给定一个项重写系统R和一个可归一化的项t，如果在任何一个将t约简为正规形式的序列中，该索引将被缩约，则需要一个索引。粗略地说，如果存在只收缩所需索引的最优缩减策略，则R是顺序的。更一般地说，G. Huet和J.-J。Levy在部分求值项上定义了谓词P的顺序性(1991，“计算逻辑:纪念艾伦·罗宾逊的论文”，麻省理工学院出版社，剑桥，麻萨诸塞州，第415-443页)。我们证明了如果P在SkS中是可定义的，那么P的序性在SkS中是可定义的，即具有k个后继的一元二阶逻辑。我们得到了几个已知的和新的结论:(1)Huet和Levy定义的左线性(可能重叠)重写系统的强序性是可决定的;(2)nv序性，如(M. yamaguchi, 1993, SIAM J. computer .19, 424-437)中定义的，即使在重叠重写系统的情况下也是可决定的;(3)任何线性浅重写系统的序性是可决定的。然后，我们描述了一个树自动机的直接构造，该树自动机识别具有所需索引的术语集，这再次产生了直接的结果:(1)可能重叠的线性重写系统的强顺序性在EXPTIME中是可确定的;(2)对于强顺序重写系统，所需索引可以直接在自动机上读取。
{"title":"Sequentiality, monadic second-order logic and tree automata","authors":"H. Comon","doi":"10.1006/INCO.1999.2838","DOIUrl":"https://doi.org/10.1006/INCO.1999.2838","url":null,"abstract":"Abstract Given a term rewriting system R and a normalizable term t, a redex is needed if in any reduction sequence of t to a normal form, this redex will be contracted. Roughly, R is sequential if there is an optimal reduction strategy in which only needed redexes are contracted. More generally, G. Huet and J.-J. Levy have defined the sequentiality of a predicate P on partially evaluated terms (1991, “Computational Logic: Essays in Honor of Alan Robinson”, MIT Press, Cambridge, MA, pp. 415–443). We show here that the sequentiality of P is definable in SkS, the monadic second-order logic with k successors, provided P is definable in SkS. We derive several known and new consequences of this remark: (1) strong sequentiality, as defined by Huet and Levy of a left linear (possibly overlapping) rewrite system is decidable, (2) NV-sequentiality, as defined in (M. Oyamaguchi, 1993, SIAM J. Comput.19, 424–437), is decidable, even in the case of overlapping rewrite systems (3) sequentiality of any linear shallow rewrite system is decidable. Then we describe a direct construction of a tree automaton recognizing the set of terms that do have needed redexes, which again, yields immediate consequences: (1) Strong sequentiality of possibly overlapping linear rewrite systems is decidable in EXPTIME, (2) For strongly sequential rewrite systems, needed redexes can be read directly on the automaton.","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2000-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83505510","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}
We show how to use computer algebra for computing exact distributions of nonparametric test statistics. We give several examples of nonparametric statistics with explicit probability-generating functions that can be handled this way. In particular, we give a new table of critical values of the Jonckheere–Terpstra test that extends previous tables.
{"title":"Symbolic computation and exact distributions of nonparametric test statistics","authors":"W. D. Ma, A. D. Bucchianico, P. Laanvander","doi":"10.1111/1467-9884.00208","DOIUrl":"https://doi.org/10.1111/1467-9884.00208","url":null,"abstract":"We show how to use computer algebra for computing exact distributions of nonparametric test statistics. We give several examples of nonparametric statistics with explicit probability-generating functions that can be handled this way. In particular, we give a new table of critical values of the Jonckheere–Terpstra test that extends previous tables.","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"1999-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76589326","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}
In this paper we present a metrical-prosodic analysis of Dutch read aloud sentences, based on perceived prominences. Metrical-prosodic constraints are formulated which can be used as input for Text-to-Speech systems. A four level metrical grid representation is introduced, corresponding to four degrees of prominence, including no prominence. A distinction is made between input and output constraints. The former refer to the prosodic representation of lexically distinguished categories; the latter to sentence-level prosodic well-fonnedness. Constraints may be in conflict with each other. The conflicting constraints are relatively ranked in a constraint hierarchy. The higher ranked constraint will win at the cost of the lower ranked one.
{"title":"Perceived prominence and the metrical-prosodic structure of Dutch sentences","authors":"Karijn Helsloot, B. Streefkerk","doi":"10.1075/cilt.234.13hel","DOIUrl":"https://doi.org/10.1075/cilt.234.13hel","url":null,"abstract":"In this paper we present a metrical-prosodic analysis of Dutch read aloud sentences, based on perceived prominences. Metrical-prosodic constraints are formulated which can be used as input for Text-to-Speech systems. A four level metrical grid representation is introduced, corresponding to four degrees of prominence, including no prominence. A distinction is made between input and output constraints. The former refer to the prosodic representation of lexically distinguished categories; the latter to sentence-level prosodic well-fonnedness. Constraints may be in conflict with each other. The conflicting constraints are relatively ranked in a constraint hierarchy. The higher ranked constraint will win at the cost of the lower ranked one.","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"1998-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89504624","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}
{"title":"The Myth of Rescue","authors":"I. Haande","doi":"10.4324/9780203026410","DOIUrl":"https://doi.org/10.4324/9780203026410","url":null,"abstract":"","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"1998-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88749465","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}
Pub Date : 1997-01-10DOI: 10.1016/S0550-3213(97)00827-4
B. Gato-Rivera, J. Rosado
{"title":"Subsingular vectors of the topological N=2 Superconformal Algebra","authors":"B. Gato-Rivera, J. Rosado","doi":"10.1016/S0550-3213(97)00827-4","DOIUrl":"https://doi.org/10.1016/S0550-3213(97)00827-4","url":null,"abstract":"","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"1997-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86474728","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}
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