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SUMMARY:Effective free-fermionic form factors on a lattice and XY quantum
chain
DTSTART;VALUE=DATE-TIME:20201222T141000Z
DTEND;VALUE=DATE-TIME:20201222T143000Z
DTSTAMP;VALUE=DATE-TIME:20240723T072256Z
UID:indico-contribution-31-193@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Yurii Zhuravlov (Bogolyubov Institute for Theoretica
l Physics of the National Academy of Sciences of Ukraine)\nWe introduce th
e effective form factors for one-dimensional lattice fermions with arbitra
ry phase shifts. We study tau functions defined as series of these form fa
ctors. On the one hand we perform the exact summation and present tau func
tions as Fredholm determinants in the thermodynamic limit. On the other ha
nd simple expressions of form factors allow us to present the correspondin
g series as integrals of elementary functions. Using this approach we re-d
erive the asymptotics of static correlation functions of the XY quantum ch
ain at finite temperature.\n\nhttps://indico.bitp.kiev.ua/event/7/contribu
tions/193/
LOCATION:Online meeting
URL:https://indico.bitp.kiev.ua/event/7/contributions/193/
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SUMMARY:Detecting geometric measure of entanglement of graph states on qua
ntum computer
DTSTART;VALUE=DATE-TIME:20201222T135000Z
DTEND;VALUE=DATE-TIME:20201222T141000Z
DTSTAMP;VALUE=DATE-TIME:20240723T072256Z
UID:indico-contribution-31-192@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Khrystyna Gnatenko (Ivan Franko National University
of Lviv\, Department for Theoretical Physics)\nGraph states generated by o
perator of evolution with Ising Hamiltonian are studied. The geometric mea
sure of entanglement of the states is quantified analytically. For this pu
rpose relation of the geometric measure of entanglement with the mean valu
e of the spin is used (the relation was obtained in [1]). Also\, quantum
protocol for preparing graph states of spin system with Ising interactio
n is constructed. The geometric measure of entanglement of the states is d
etecting on the IBM's quantum computers.\nWe obtained that entanglement
of spin with other spins in the graph state depends on the graph properti
es\, namely it depends on the degree of vertex that corresponds to the spi
n.\n\n\n[1] A. M. Frydryszak\, M. I. Samar\, V. M. Tkachuk\, Eur. Phys. J.
D 71\, 233 (2017).\n\nhttps://indico.bitp.kiev.ua/event/7/contributions/1
92/
LOCATION:Online meeting
URL:https://indico.bitp.kiev.ua/event/7/contributions/192/
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