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Review on Quantum Computing for Lattice Field Theory [PDF]
Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022), 2023 In these proceedings, we review recent advances in applying quantum computing to lattice field theory. Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the conventional Monte
Lena Funcke +3 more
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Quantum Finite Elements for Lattice Field Theory [PDF]
Proceedings of The 33rd International Symposium on Lattice Field Theory — PoS(LATTICE 2015), 2016 Viable non-perturbative methods for lattice quantum field theories on curved manifolds are difficult. By adapting features from the traditional finite element methods (FEM) and Regge Calculus, a new simplicial lattice Quantum Finite Element (QFE ...
Richard C. Brower +5 more
semanticscholar +8 more sources
Fractional Quantum Field Theory: From Lattice to Continuum [PDF]
Advances in High Energy Physics, 2014 An approach to formulate fractional field theories on unbounded lattice space-time is suggested. A fractional-order analog of the lattice quantum field theories is considered.
Vasily E. Tarasov
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Learning Lattice Quantum Field Theories with Equivariant Continuous Flows [PDF]
SciPost Physics, 2022 We propose a novel machine learning method for sampling from the high-dimensional probability distributions of Lattice Field Theories, which is based on a single neural ODE layer and incorporates the full symmetries of the problem.
Mathis Gerdes +4 more
semanticscholar +6 more sources
Quantum algorithms for open lattice field theory [PDF]
Physical Review A, 2020 Certain aspects of some unitary quantum systems are well-described by evolution via a non-Hermitian effective Hamiltonian, as in the Wigner-Weisskopf theory for spontaneous decay. Conversely, any non-Hermitian Hamiltonian evolution can be accommodated in
J. Hubisz +2 more
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Tensor lattice field theory for renormalization and quantum computing [PDF]
Reviews of Modern Physics, 2022 We discuss the successes and limitations of statistical sampling for a sequence of models studied in the context of lattice QCD and emphasize the need for new methods to deal with finite-density and real-time evolution.
Yannick Meurice +2 more
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Remarks on the quantum field theory in lattice space. II [PDF]
Communications in Mathematical Physics, 1968 We calculate the Gelfand functionsE(f,g;a) for quantized field φ in lattice space,a being the lattice constant. In the limita → 0 the functionals take on two different forms depending upon the “potential”F[φ] of the lattice Hamiltonian (coupling between different lattice sites not included). IfF[φ] is of a short-range type (see text for definition) the
Hiroshi Ezawa
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Bayesian Inference for Contemporary Lattice Quantum Field Theory [PDF]
Proceedings of The 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023), 2023 Bayesian inference provides a rigorous framework to encapsulate our knowledge and uncertainty regarding various physical quantities in a well-defined and self-contained manner.
Julien Frison
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Achieving the quantum field theory limit in far-from-equilibrium quantum link models [PDF]
Quantum, 2022 Realizations of gauge theories in setups of quantum synthetic matter open up the possibility of probing salient exotic phenomena in condensed matter and high-energy physics, along with potential applications in quantum information and science ...
Jad C. Halimeh +4 more
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