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Zeta-regularized vacuum expectation values from quantum computing simulations

arXiv
Authors: Karl Jansen, Tobias Hartung

Year

2019

Paper ID

14366

Status

Preprint

Abstract Read

~2 min

Abstract Words

68

Citations

N/A

Abstract

The zeta-regularization allows to establish a connection between Feynman's path integral and Fourier integral operator zeta-functions. This fact can be utilized to perform the regularization of the vacuum expectation values in quantum field theories. In this proceeding, we will describe the concept of the zeta-regularization, give a simple example and demonstrate that quantum computing can be employed to numerically evaluate zeta-regulated vacuum expectation values on a quantum computer.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2019 reference point for readers tracking recent quantum research.
  • The zeta-regularization allows to establish a connection between Feynman's path integral and Fourier integral operator zeta-functions.

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