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  1. link.aps.org

    Feb 26, 2024Here, we map U(1) Abelian lattice gauge theories in arbitrary spatial dimensions onto qudit systems with local interactions. We propose a variational quantum simulation scheme for the qudit system with a local Hamiltonian, that can be implemented on a universal qudit quantum device as the one developed in [Nat. Phys. 18, 1053 (2022)].
  2. journals.aps.org

    Feb 26, 2024Here, we propose a quantum simulation protocol for an Abelian U(1) LGT in (1+1) and in (2+1) space-time di-mensions for qudit quantum processors based on trapped ions [13]. Following [64,65], we integrate out the fermionic fields and construct an LGT that can directly be mapped to a qudit system. The construction keeps the Hamiltonian of the ...
  3. Jan 31, 2024The data is generated by a simulation protocol implemented in Python. For the imaginary time evolution figures, the data contains the values of the fidelity with respect to the true ground state and the energy of the variational state as a function of the time for N = 1,2 and 3 layers of the variational circuit.
  4. quantum-interactions.com

    Simulating gauge theories with variational quantum eigensolvers in superconducting microwave cavities Authors: J. Zhang, R. Ferguson, S. Kühn, J. Haase, C. Wilson, K. Jansen, and C. Muschik Open Access: arXiv:2108.08248 (2021). Quantum simulation of gauge theories Self-verifying variational quantum simulation of the lattice Schwinger model
  5. researchgate.net

    Jul 27, 2023Here we report the quantum simulation of an extended U(1) lattice gauge theory, and experimentally quantify the gauge invariance in a many-body system comprising matter and gauge fields.
  6. pasquans2.eu

    PROGRAMMABLE ATOMIC LARGE-SCALE QUANTUM SIMULATION ... One of the most promising fields is the simulation of many-body quantum systems, such as quantum materials, molecules for drug research and the fundamental constituents of matter in extreme conditions. ... PASQuanS2.1 showcases Quantum Innovations at EQTC2024. PASQuanS2.1 participated in ...
  7. jglobal.jst.go.jp

    Article "Variational quantum simulation of U(1) lattice gauge theories with qudit systems" Detailed information of the J-GLOBAL is an information service managed by the Japan Science and Technology Agency (hereinafter referred to as "JST"). It provides free access to secondary information on researchers, articles, patents, etc., in science and technology, medicine and pharmacy.
  8. Jul 27, 2023Here, we map D-dimensional U(1) Abelian lattice gauge theories onto qudit systems with local interactions for arbitrary D. We propose a variational quantum simulation scheme for the qudit system with a local Hamiltonian, that can be implemented on a universal qudit quantum device as the one developed in [Nat. Phys. 18, 1053-1057 (2022)].
  9. link.aps.org

    Dec 23, 2024We report a first-of-its-kind analysis on post-Trotter simulation of U(1), SU(2), and SU(3) lattice gauge theories including fermions in arbitrary spatial dimension. We provide explicit circuit constructions as well as T-gate counts and logical qubit counts for Hamiltonian simulation. We find a reduction of up to 25 orders of magnitude in space ...
  10. Quantum computation represents an emerging framework to solve lattice gauge theories (LGT) with arbitrary gauge groups, a general and long-standing problem in computational physics. While quantum computers may encode LGT using only polynomially increasing resources, a major openissue concerns the violation of gauge-invariance during the dynamics and the search for groundstates. Here, we ...
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