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
Keyword(s):  
Spin Chain ◽  
Perfect State ◽  
State Transfer ◽  
Perfect State Transfer

scholarly journals Perfect state transfer in a spin chain without mirror symmetry

2019 ◽  
Vol 52 (45) ◽  
pp. 455302
Author(s):  
Gabriel Coutinho ◽  
Luc Vinet ◽  
Hanmeng Zhan ◽  
Alexei Zhedanov
Keyword(s):  
Spin Chain ◽  
Mirror Symmetry ◽  
Perfect State ◽  
State Transfer ◽  
Perfect State Transfer

scholarly journals Tailoring spin chain dynamics for fractional revivals

Quantum ◽  
2017 ◽  
Vol 1 ◽  
pp. 24 ◽  
Author(s):  
Alastair Kay
Keyword(s):  
Spin Chain ◽  
High Speed ◽  
Numerical Technique ◽  
Spin Chains ◽  
Small Subset ◽  
Perfect State ◽  
State Transfer ◽  
Quantum Protocols ◽  
Fractional Revivals ◽  
Perfect State Transfer

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.

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
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