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pro vyhledávání: '"Mandal, Amrita"'
Autor:
Mandal, Amrita, Sen, Ujjwal
We study the response of spreading behavior, of two-dimensional discrete-time quantum walks, to glassy disorder in the jump length. We consider different discrete probability distributions to mimic the disorder, and three types of coin operators, viz
Externí odkaz:
http://arxiv.org/abs/2312.16076
Autor:
Mandal, Amrita, Adhikari, Bibhas
We propose a graph theoretic approach to determine trace of product of two permutation matrices through a weighted digraph representation of the permutation matrices. Consequently, we derive trace-zero doubly stochastic (DS) matrices of order $5$ who
Externí odkaz:
http://arxiv.org/abs/2311.06810
Autor:
Mandal, Amrita, Adhikari, Bibhas
Publikováno v:
Linear Algebra and its Applications 654, 102-124 (2022)
Orthogonal matrices which are linear combinations of permutation matrices have attracted enormous attention in quantum information and computation. In this paper, we provide a complete parametric characterization of all complex, real and rational ort
Externí odkaz:
http://arxiv.org/abs/2303.06467
In this article, we undertake a detailed study of the limiting behavior of a three-state discrete-time quantum walk on one dimensional lattice with generalized Grover coins. Two limit theorems are proved and consequently we show that the quantum walk
Externí odkaz:
http://arxiv.org/abs/2204.05625
Localization phenomena of quantum walks makes the propagation dynamics of a walker strikingly different from that corresponding to classical random walks. In this paper, we study the localization phenomena of four-state discrete-time quantum walks on
Externí odkaz:
http://arxiv.org/abs/2103.00515
In this paper we extend the study of three state lively quantum walks on cycles by considering the coin operator as a linear sum of permutation matrices, which is a generalization of the Grover matrix. First we provide a complete characterization of
Externí odkaz:
http://arxiv.org/abs/2003.12955
This paper is devoted to the study of eigenvalue region of the doubly stochastic matrices which are also permutative, that is, each row of such a matrix is a permutation of any other row. We call these matrices as permutative doubly stochastic (PDS)
Externí odkaz:
http://arxiv.org/abs/1910.01829
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Akademický článek
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Autor:
Mandal, Amrita
Retinoic acid (RA) and canonical Wnt/ß-catenin (Wnt) signaling are two major pathways that direct early embryonic development. Abnormalities in either pathway lead to congenital birth defects of the limb, heart and central nervous systems. This thes
Externí odkaz:
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1459528244