Time evolution of controlled many-body quantum systems with matrix product operators
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F25%3A00387103" target="_blank" >RIV/68407700:21230/25:00387103 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/9mfk-gg3x" target="_blank" >https://doi.org/10.1103/9mfk-gg3x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/9mfk-gg3x" target="_blank" >10.1103/9mfk-gg3x</a>
Alternative languages
Result language
angličtina
Original language name
Time evolution of controlled many-body quantum systems with matrix product operators
Original language description
We present a method for describing the time evolution of many-body controlled quantum systems using matrix product operators (MPOs). Existing techniques for solving the time-dependent Schr & ouml;dinger equation with an MPO Hamiltonian often rely on time discretization. In contrast, our approach uses the Magnus expansion and Chebyshev polynomials to model the time evolution and the MPO representation to efficiently encode the system's dynamics. This results in a scalable method that can be used efficiently for many-body controlled quantum systems. We apply this technique to quantum optimal control, specifically for a gate synthesis problem, demonstrating that it can be used for large-scale optimization problems that are otherwise impractical to formulate in a dense matrix representation.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA23-07947S" target="_blank" >GA23-07947S: Learning Models of Quantum Systems as a Non-Commutative Polynomial Optimization Problem</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICAL REVIEW A
ISSN
2469-9926
e-ISSN
2469-9934
Volume of the periodical
112
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
1-9
UT code for WoS article
001641552500002
EID of the result in the Scopus database
2-s2.0-105028284819