scholarly journals Perfect State Transfer on a Spin Chain without State Initialization

2008 ◽  
Vol 101 (23) ◽  
Author(s):  
C. Di Franco ◽  
M. Paternostro ◽  
M. S. Kim
2019 ◽  
Vol 52 (45) ◽  
pp. 455302
Author(s):  
Gabriel Coutinho ◽  
Luc Vinet ◽  
Hanmeng Zhan ◽  
Alexei Zhedanov

Quantum ◽  
2017 ◽  
Vol 1 ◽  
pp. 24 ◽  
Author(s):  
Alastair Kay

The production of quantum states required for use in quantum protocols & technologies is studied by developing the tools to re-engineer a perfect state transfer spin chain so that a separable input excitation is output over multiple sites. We concentrate in particular on cases where the excitation is superposed over a small subset of the qubits on the spin chain, known as fractional revivals, demonstrating that spin chains are capable of producing a far greater range of fractional revivals than previously known, at high speed. We also provide a numerical technique for generating chains that produce arbitrary single-excitation states, such as the W state.


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

2019 ◽  
Vol 563 ◽  
pp. 331-352 ◽  
Author(s):  
Ying-Ying Tan ◽  
Keqin Feng ◽  
Xiwang Cao

2019 ◽  
Vol 7 (1) ◽  
Author(s):  
Hiroshi Miki ◽  
Satoshi Tsujimoto ◽  
Luc Vinet

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.


2008 ◽  
Vol 78 (2) ◽  
Author(s):  
Giulia Gualdi ◽  
Vojtech Kostak ◽  
Irene Marzoli ◽  
Paolo Tombesi

2017 ◽  
Vol 67 (1) ◽  
pp. 39-50
Author(s):  
Issaraporn Thongsomnuk ◽  
Yotsanan Meemark

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

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