Efficient Quantum Algorithm for Computing n-time Correlation Functions

J. S. Pedernales, R. Di Candia, I. L. Egusquiza, J. Casanova, and E. Solano
Phys. Rev. Lett. 113, 020505 – Published 10 July 2014
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Abstract

We propose a method for computing n-time correlation functions of arbitrary spinorial, fermionic, and bosonic operators, consisting of an efficient quantum algorithm that encodes these correlations in an initially added ancillary qubit for probe and control tasks. For spinorial and fermionic systems, the reconstruction of arbitrary n-time correlation functions requires the measurement of two ancilla observables, while for bosonic variables time derivatives of the same observables are needed. Finally, we provide examples applicable to different quantum platforms in the frame of the linear response theory.

  • Figure
  • Received 20 January 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.020505

© 2014 American Physical Society

Authors & Affiliations

J. S. Pedernales1, R. Di Candia1, I. L. Egusquiza2, J. Casanova1, and E. Solano1,3

  • 1Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain
  • 2Department of Theoretical Physics and History of Science, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain
  • 3IKERBASQUE, Basque Foundation for Science, Alameda Urquijo 36, 48011 Bilbao, Spain

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Issue

Vol. 113, Iss. 2 — 11 July 2014

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