20–24 Jan 2025
CERN
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Efficient Encoding of Quantum States for Hamiltonian Simulation of (2+1)-dimensional U(1) Lattice Gauge Theory with Finite Temperature

23 Jan 2025, 09:45
15m
500/1-001 - Main Auditorium (CERN)

500/1-001 - Main Auditorium

CERN

400
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Speaker

Reita Maeno (University of Tokyo (JP))

Description

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.

Email Address of submitter

maeno-reita916@g.ecc.u-tokyo.ac.jp

Short summary

We investigste an efficient way to discretize gauge fields aiming for numerical simulation of lattice gauge theory based on quantum computation. We extend previous study to systems with finite temperarture.

Author

Reita Maeno (University of Tokyo (JP))

Co-authors

Koji Terashi (University of Tokyo (JP)) Dr Lento Nagano (University of Tokyo (JP)) Sanmay Ganguly (Indian Institute of Technology Kanpur (IN)) Yasuyuki Okumura (University of Tokyo (JP)) Yutaro Iiyama (University of Tokyo (JP))

Presentation materials