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Relativistic Path Integral as a Lattice-based Quantum Algorithm

  • Quantum Computation for Physical Modeling Workshop
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Abstract

We demonstrate the equivalence of two representations of many-body relativistic quantum mechanics: the quantum lattice-gas method and the path integral method. The former serves as an efficient lattice-based quantum algorithm to simulate the space-time dynamics of a system of Dirac particles.

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Authors and Affiliations

  1. Air Force Research Laboratory, 29 Randolph Road, Hanscom Field, Massachusetts, 01731, USA

    Jeffrey Yepez

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  1. Jeffrey Yepez
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Correspondence to Jeffrey Yepez.

Additional information

Jeffrey Yepez: This discrete path integral formalism, included in the beginning of this paper, was presented on August 20, 2004 as an invited talk entitled “Lattice-based quantum algorithms for computational phsyics” at the 13th International Conference on the Discrete Simulation of Fluid Dynamics, hosted by Tufts University in Cambridge, Massachusetts. The quantum algorithm for the Dirac system in 3+1 dimensions, included at the end of this paper, was presented on May 9, 2002 at the Quantum Computation for Physical Modeling Workshop 2002, hosted by the Air Force Research Laboratory in Edgartown, Massachusetts.

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Yepez, J. Relativistic Path Integral as a Lattice-based Quantum Algorithm. Quantum Inf Process 4, 471–509 (2005). https://doi.org/10.1007/s11128-005-0009-7

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  • DOI: https://doi.org/10.1007/s11128-005-0009-7

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