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Efficient Encoding of Quantum States for Hamiltonian Simulation of (2+1)-dimensional U(1) Lattice Gauge Theory with Finite Temperature

Reita Maeno · CERN

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About

In this work, we discuss an efficient way to discretize gauge fields in the (2+1)-dimensional U(1) lattice gauge theory with finite temperature for the Hamiltonian simulation using quantum computation. We extend a previous study based on Canonical Commutation Relation (CCR), which investigated the efficient discretization of low-lying states, to systems with finite temperature, where excited states play a crucial role. We specifically investigate two models: (1) (2+1)-dimensional pure U(1) lattice gauge theory with finite temperature, and (2) (2+1)-dimensional U(1) lattice gauge theory with finite temperature including dynamical fermions. Through this study, we find the effectiveness of CCR method in both systems at small coupling constants and low temperatures..

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The talk

  1. Efficient Encoding of Quantum States for Hamiltonian Simulation of (2+1)-dimensional U(1) Lattice Gauge Theory with Finite Temperature 2025-01-23 · 13 min · CERN's player

Credits and licence

Institution
CERN
Department
QTI other events or meetings
Speaker
Reita Maeno
Year
2025
Language
English
Subjects
Physics, Earth and environment
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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