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Review on Quantum Computing for Lattice Field Theory [PDF]
PoS LATTICE2022, 228 (2023), 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 Carlo approach, such as the sign-problem afflicted regimes of finite baryon density, topological ...
Lena Funcke +3 more
arxiv +9 more sources
Quantum field theory on a growing lattice [PDF]
Journal of High Energy Physics, 2004 We construct the classical and canonically quantized theories of a massless scalar field on a background lattice in which the number of points--and hence the number of modes--may grow in time. To obtain a well-defined theory certain restrictions must be imposed on the lattice.
Brendan Foster, Ted Jacobson
core +8 more sources
Nonperturbative Quantum Field Theory on the Lattice [PDF]
arXiv, 1996 These lectures provide an introduction to lattice methods for nonperturbative studies of quantum field theories, with an emphasis on Quantum Chromodynamics. Lecture 1 (Ch. 2): gauge field basics Lecture 2 (Ch. 3): Abelian duality with a lattice regulator (Ch. 4): simple lattice intuition Lecture 3 (Ch.
Thomas DeGrand
arxiv +5 more sources
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) Lagrangian is constructed for fields on a smooth Riemann manifold.
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
doaj +4 more sources
Quantum algorithms for open lattice field theory [PDF]
Physical Review A, 2021 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 a corresponding unitary system + environment model via a generalization of Wigner-Weisskopf theory.
Jay Hubisz +3 more
openaire +5 more sources
Learning lattice quantum field theories with equivariant continuous flows [PDF]
SciPost Physics, 2023 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. We test our model on the \phi^4ϕ4 theory, showing that it systematically outperforms previously proposed flow-based ...
Gerdes, M. +4 more
openaire +5 more sources
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
openalex +3 more sources
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
openalex +6 more sources