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

- Institution: CERN
- Department: QTI other events or meetings
- Speaker: Reita Maeno
- Year: 2025
- Language: English
- Subjects: Physics, Earth and environment
- Source: [CERN](https://videos.cern.ch/record/3022517)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

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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## Lectures

1. [Efficient Encoding of Quantum States for Hamiltonian Simulation of (2+1)-dimensional U(1) Lattice Gauge Theory with Finite Temperature](https://invisiblenetwork.ai/learn/cern/3022517/e35137a9f8c7), 13 min (CERN's player)