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SUMMARY:Quantum Computing Study of the Speed of Quantum Evolution in the I
 sing Model in a Longitudinal Magnetic Field
DTSTART;VALUE=DATE-TIME:20260922T145000Z
DTEND;VALUE=DATE-TIME:20260922T145500Z
DTSTAMP;VALUE=DATE-TIME:20260914T053254Z
UID:indico-contribution-546@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Markiian Kachmar (Professor Ivan Vakarchuk Departmen
 t for Theoretical Physics\, Ivan Franko National University of Lviv)\nThe 
 speed of quantum state evolution is a fundamental characteristic of quantu
 m dynamics. As shown in [1]\, for pure quantum states\, it is directly gov
 erned by energy fluctuations. In the present work\, we examine the speed o
 f quantum evolution in a spin system described by the Ising model and subj
 ected to a longitudinal magnetic field. We perform analytical derivations 
 and quantum computing using AerSimulator. The quantum programming of the s
 peed of quantum evolution employs two distinct approaches: the estimation 
 of the expectation value of the evolution operator for short times and the
  direct measurement of Pauli correlators [2]. The results of the quantum c
 omputations are in agreement with the theoretical results. We also show th
 at the quantum states evolved in spin systems described by the Ising model
  in a magnetic field can be treated as quantum graph states representing v
 ertex- and edge-weighted graphs. We establish relations between the speed 
 of quantum evolution and the structural properties of the graph.\n[1] A. S
 himony\, Ann. N.Y. Acad. Sci. 755\, 675-679 (1995). doi: 10.1111/j.1749-66
 32.1995.tb39008.x .\n[2] Kachmar\, M.\, and Kh Gnatenko. (2025). Visnyk Lv
 iv Univ.\, Ser. Phys. 62\, 67–74 (2025). doi: 10.30970/vph.62.2025.67\n\
 nhttps://indico.bitp.kiev.ua/event/18/contributions/546/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/546/
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