Quantum Graph and Quantum Filter

被引：0
|
作者：
Cheon, Taksu [1 ]
机构：
[1] Kochi Univ Technol, Kami, Kochi, Japan
来源：
NONLINEAR PHENOMENA IN COMPLEX SYSTEMS: FROM NANO TO MACRO SCALE | 2014年
关键词：
METRIC TREES;
D O I：
10.1007/978-94-017-8704-8_13
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the quantum star graphs, with added potentials on some of graph lines and with suitable choice of the connection condition at the graph node, can be made into spectral branching filters whose properties is controllable through the tuning of the strength of the potentials.
引用
收藏
页码：179 / 188
页数：10
相关论文
共 50 条
  • [1] Quantum graph as a quantum spectral filter
    Turek, Ondrej
    Cheon, Taksu
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (03)
  • [2] Quantum secret sharing with quantum graph states
    Liang Jian-Wu
    Cheng Zi
    Shi Jin-Jing
    Guo Ying
    [J]. ACTA PHYSICA SINICA, 2016, 65 (16)
  • [3] The Quantum States of a Graph
    Raza, Mohd Arif
    Alahmadi, Adel N.
    Basaffar, Widyan
    Glynn, David G.
    Gupta, Manish K.
    Hirschfeld, James W. P.
    Khan, Abdul Nadim
    Shoaib, Hatoon
    Sole, Patrick
    [J]. MATHEMATICS, 2023, 11 (10)
  • [4] An exponential quantum projection filter for open quantum systems
    Gao, Qing
    Zhang, Guofeng
    Petersen, Ian R.
    [J]. AUTOMATICA, 2019, 99 : 59 - 68
  • [5] Graph approach to quantum systems
    Pavicic, Mladen
    McKay, Brendan D.
    Megill, Norman D.
    Fresl, Kresimir
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (10)
  • [6] Interacting quantum walk on a graph
    Verga, Alberto D.
    [J]. PHYSICAL REVIEW E, 2019, 99 (01)
  • [7] Quantum walks and the size of the graph
    Coutinho, Gabriel
    [J]. DISCRETE MATHEMATICS, 2019, 342 (10) : 2765 - 2769
  • [8] On the quantum chromatic number of a graph
    Cameron, Peter J.
    Montanaro, Ashley
    Newman, Michael W.
    Severini, Simone
    Winter, Andreas
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2007, 14 (01):
  • [9] Graph concatenation for quantum codes
    Beigi, Salman
    Chuang, Isaac
    Grassl, Markus
    Shor, Peter
    Zeng, Bei
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (02)
  • [10] Quantum approaches to graph colouring
    D'Hondt, Ellie
    [J]. THEORETICAL COMPUTER SCIENCE, 2009, 410 (4-5) : 302 - 309
12345