scholarly journals Entanglement generation and perfect state transfer in ferromagnetic qubit chains

2009 ◽  
Vol 11 (6) ◽  
pp. 063038 ◽  
Author(s):  
Giulia Gualdi ◽  
Irene Marzoli ◽  
Paolo Tombesi
Keyword(s):  
Perfect State ◽  
Entanglement Generation ◽  
State Transfer ◽  
Perfect State Transfer

scholarly journals PERFECT, EFFICIENT, STATE TRANSFER AND ITS APPLICATION AS A CONSTRUCTIVE TOOL

2010 ◽  
Vol 08 (04) ◽  
pp. 641-676 ◽  
Author(s):  
ALASTAIR KAY
Keyword(s):  
Quantum State ◽  
Signal Amplification ◽  
Fixed Time ◽  
Perfect State ◽  
Entanglement Generation ◽  
State Transfer ◽  
Universal Quantum ◽  
The Subject ◽  
Perfect State Transfer ◽  
A Chain

We review the subject of perfect state transfer — how one designs the (fixed) interactions of a chain of spins so that a quantum state, initially inserted on one end of the chain, is perfectly transferred to the opposite end in a fixed time. The perfect state transfer systems are then used as a constructive tool to design Hamiltonian implementations of other primitive protocols such as entanglement generation and signal amplification in measurements, before showing that, in fact, universal quantum computation can be implemented in this way.

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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