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The zeta-regularization allows to establish a connection between Feynman's path integral and Fourier integral operator zeta-functions.
Integrating Gauge Fields in the ζ \zeta -formulation of Feynman’s path integral
T. Hartung and K. Jansen · 1902
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Sopra Ie serie di funzioni analitiches
G. Vitali · 1903
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Sopra Ie serie di funzioni analitiches
G. Vitali · 1904
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Concerning series of analytic functions
M.B. Porter · 1904
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Space-Time Approach to Non-Relativistic Quantum Mechanics
R. P. Feynman · 1948
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Introduction to Banach Spaces and their Geometry
B. Beauzamy · 1985
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On the Simple Evaluation of Chiral Anomalies in the Path Integral Approach
Kazuo Fujikawa, Shuichi Ojima, and Satoshi Yajima · 1986
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Semigroups of Linear Operators and Applications to Partial Differential Equations
A. Pazy · 1992
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Random number generation and quasi-Monte Carlo methods
Harald Niederreiter · 1992
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Normal Families
J.L. Schiff · 1993
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Quantum Mechanics and Path Integrals
R. P. Feynman, A. R. Hibbs, and D. F. Styer · 2005
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Quantum chromodynamics on the lattice
Christof Gattringer and Christian B. Lang · 2010
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Lattice gauge theories: An Introduction
H. J. Rothe · 2012
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Quasi-monte carlo methods for high-dimensional integration: the standard (weighted hilbert space) setting and beyond
F. Kuo, Ch. Schwab, and I. Sloan · 2012
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Overcoming the sign problem in one-dimensional QCD by new integration rules with polynomial exactness
A. Ammon, T. Hartung, K. Jansen, H. Leövey, and J. Volmer · 2016
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A variational eigenvalue solver on a photonic quantum processor
A. Peruzzo et al · 2016
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N. C. Rubin · 2016
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Regularizing Feynman Path Integrals using the generalized Kontsevich-Vishik trace
T. Hartung · 2017
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A Hybrid Monte Carlo algorithm for sampling rare events in space-time histories of stochastic fields
G. Margazoglou, L. Biferale, R. Grauer, K. Jansen, D. Mesterházy, T. Rosenow, and R. Tripiccione · 2019
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K. Jansen, H. Leovey, Andreas Ammon, A. Griewank, and M. Muller-Preussker · 2014
Cited alongside, same era.
On the efficient numerical solution of lattice systems with low-order couplings
A. Ammon, A. Genz, T. Hartung, K. Jansen, H. Leovey, and J. Volmer · 2016
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Rigetti Computing
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https://www.ibm.com/quantum-computing/
IBM Quantum Computing
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https://www.dwavesys.com
D-WAVE Computing
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Demonstration of universal parametric entangling gates on a multi-qubit lattice
M. Reagor, C. B. Osborn, N. Tezak, A. Staley, G. Prawiroatmodjo, M. Scheer, N. Alidoust, E. A. Sete, N. Didier, M. P. Da Silva, E. Acala, J. Anegeles, A. Bestwick, M. Block, B. Bloom, A. Bradley, C. Bui, S. Caldwell, L. Capelluto, R. Chilcott, J. Cordova, G. Crossman, M. Curtis, S. Deshpande, T. El Bouayadi, D. Girshovich, S. Hong, A. Hudson, P. Karalekas, K. Kuang, M. Lenihan, R. Manenti, T. Manning, J. Marshall, Y. Mohan, W. O’Brien, J. Otterbach, A. Papageorge, J. P. Paquette, M. Pelstring, A. Polloreno, V. Rawat, C. A. Ryan, R. Renzas, N. Rubin, D. Russel, M. Rust, D. Scarabelli, M. Selvanayagam, R. Sinclair, R. Smith, M. Suska, T. W. To, M. Vahidpour, N. Vodrahalli, T. Whyland, K. Yadav, W. Zeng, and C. T. Rigetti
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Zeta-regularized vacuum expectation values
Tobias Hartung and Karl Jansen · 2019
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Review on Novel Methods for Lattice Gauge Theories
Mari Carmen Banuls and Krzysztof Cichy · 2019
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Simulating Lattice Gauge Theories within Quantum Technologies
M. C. Banuls et al · 2019
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