Fetching the paper…

Reading the bibliography…

2011

Dual -1 Hahn polynomials and perfect state transfer

Vinet, Luc, Zhedanov, Alexei

Original
PDF
Post on X

Understand

We find all the $XX$ spin chains with perfect state transfer (PST) that are connected with the dual -1 Hahn polynomials $R_n(x; \alpha,\beta,N)$.

For $N$ odd we recover a model that had already been identified while for $N$ even, we obtain a new system exhibiting PST.

Dual -1 Hahn polynomials and perfect state transfer · Around

Built on

G. Szegő, Orthogonal Polynomials, fourth edition, AMS, 1975
1975
Earlier work this paper cites.
M. Rosenblum, Generalized Hermite Polynomials and the Bose-like Oscillator Calculus
1994
Earlier work this paper cites.
R.Koekoek, R.Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
1998
Earlier work this paper cites.

Similar

C.Albanese, M.Christandl, N.Datta, A.Ekert, Mirror inversion of quantum states in linear registers
2004
Cited alongside, same era.
T. Shi, Y.Li , A.Song, C.P.Sun, Quantum-state transfer via the ferromagnetic chain in a spatially modulated field
2005
Cited alongside, same era.
A.Kay, A Review of Perfect State Transfer and its Application as a Constructive Tool
Original
Cited in the paper.
S.Tsujimoto, L.Vinet and A.Zhedanov, Dunkl shift operators and Bannai-Ito polynomials
Original
Cited in the paper.
S.Tsujimoto, L.Vinet and A.Zhedanov, Dual -1 Hahn polynomials: ”classical” polynomials beyond the Leonard duality
Original
Cited in the paper.
L.Vinet and A.Zhedanov, How to construct spin chains with perfect state transfer
Original
Cited in the paper.

Then

N.Stoilova, J.Van der Jeugt, An exactly solvable spin chain related to Hahn polynomials
2011
Closest in time.
S.Tsujimoto, L.Vinet and A.Zhedanov, From s l q ( 2 ) sl_{q}(2) to a Parabosonic Hopf Algebra
Original
2011
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…