Laplacian Perfect State Transfer in Extended Neighborhood Coronas

2021 ◽  
Vol 37 (12) ◽  
pp. 1921-1932
Author(s):  
Yi Peng Li ◽  
Xiao Gang Liu ◽  
Sheng Gui Zhang
Keyword(s):  
Perfect State ◽  
State Transfer ◽  
Perfect State Transfer

scholarly journals Perfect state transfer on abelian Cayley graphs

2019 ◽  
Vol 563 ◽  
pp. 331-352 ◽  
Author(s):  
Ying-Ying Tan ◽  
Keqin Feng ◽  
Xiwang Cao
Keyword(s):  
Cayley Graphs ◽  
Perfect State ◽  
State Transfer ◽  
Perfect State Transfer

scholarly journals Quantum walks on graphs of the ordered Hamming scheme and spin networks

2019 ◽  
Vol 7 (1) ◽  
Author(s):  
Hiroshi Miki ◽  
Satoshi Tsujimoto ◽  
Luc Vinet
Keyword(s):  
Magnetic Fields ◽  
Quantum Walks ◽  
Perfect State ◽  
Spin Networks ◽  
Krawtchouk Polynomials ◽  
Energy Eigenstates ◽  
State Transfer ◽  
Perfect State Transfer ◽  
Local Magnetic Fields ◽  
Basis Vectors

It is shown that the hopping of a single excitation on certain triangular spin lattices with non-uniform couplings and local magnetic fields can be described as the projections of quantum walks on graphs of the ordered Hamming scheme of depth 2. For some values of the parameters the models exhibit perfect state transfer between two summits of the lattice. Fractional revival is also observed in some instances. The bivariate Krawtchouk polynomials of the Tratnik type that form the eigenvalue matrices of the ordered Hamming scheme of depth 2 give the overlaps between the energy eigenstates and the occupational basis vectors.

scholarly journals Perfect state transfer in long-range interacting spin chains

2008 ◽  
Vol 78 (2) ◽  
Author(s):  
Giulia Gualdi ◽  
Vojtech Kostak ◽  
Irene Marzoli ◽  
Paolo Tombesi
Keyword(s):  
Long Range ◽  
Spin Chains ◽  
Perfect State ◽  
State Transfer ◽  
Perfect State Transfer

Perfect state transfer in unitary Cayley graphs and gcd-graphs

2017 ◽  
Vol 67 (1) ◽  
pp. 39-50
Author(s):  
Issaraporn Thongsomnuk ◽  
Yotsanan Meemark
Keyword(s):  
Cayley Graphs ◽  
Perfect State ◽  
State Transfer ◽  
Perfect State Transfer

Using a quantum dot system to realize perfect state transfer

2011 ◽  
Vol 20 (10) ◽  
pp. 100308 ◽  
Author(s):  
Ji Li ◽  
Shi-Hai Wu ◽  
Wen-Wen Zhang ◽  
Xiao-Qiang Xi
Keyword(s):  
Quantum Dot ◽  
Perfect State ◽  
State Transfer ◽  
Perfect State Transfer

scholarly journals Perfect state transfer in NEPS of complete graphs

2021 ◽  
Vol 289 ◽  
pp. 98-114
Author(s):  
Yipeng Li ◽  
Xiaogang Liu ◽  
Shenggui Zhang ◽  
Sanming Zhou
Keyword(s):  
Complete Graphs ◽  
Perfect State ◽  
State Transfer ◽  
Perfect State Transfer

scholarly journals Perfect state transfer in integral circulant graphs

2009 ◽  
Vol 22 (7) ◽  
pp. 1117-1121 ◽  
Author(s):  
Milan Bašić ◽  
Marko D. Petković ◽  
Dragan Stevanović
Keyword(s):  
Perfect State ◽  
Circulant Graphs ◽  
State Transfer ◽  
Perfect State Transfer
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