Perfect state transfer of a qudit over underlying networks of group association schemes
نویسندگان
چکیده
منابع مشابه
Perfect state transfer of a qudit over underlying networks of group association schemes
As generalizations of results of Christandl et al.[1, 2] and Facer et al.[3], Bernasconi et al.[4, 5] studied perfect state transfer (PST) between two particles in quantum networks modeled by a large class of cubelike graphs (e.g., the hypercube) which are the Cayley graphs of the elementary abelian group Zn 2 . In Refs. [6, 7], respectively, PST of a qubit over distance regular spin networks a...
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By considering distance-regular graphs as spin networks, first we introduce some particular spin Hamiltonians which are extended version of those of Refs.[1, 2]. Then, by using spectral analysis techniques and algebraic combinatoric structure of distanceregular graphs such as stratification introduced in [3, 4] and Bose-Mesner algebra, we give a method for finding a set of coupling constants in...
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in this work, using eigenvalues and eigenvectors of unitary cayley graphs over finite local rings and elementary linear algebra, we characterize which local rings allowing pst occurring in its unitary cayley graph. moreover, we have some developments when $r$ is a product of local rings.
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We propose a class of qubit networks that admit the perfect state transfer of any quantum state in a fixed period of time. Unlike many other schemes for quantum computation and communication, these networks do not require qubit couplings to be switched on and off. When restricted to N-qubit spin networks of identical qubit couplings, we show that 2log3N is the maximal perfect communication dist...
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Recently, in Refs. [1] and [2], calculation of effective resistances on distance-regular networks was investigated, where in the first paper, the calculation was based on stratification and Stieltjes function associated with the network, whereas in the latter one a recursive formula for effective resistances was given based on the Christoffel-Darboux identity. In this paper, evaluation of effec...
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ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2009
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2009/04/p04004