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Efficient quantum algorithm for computing n-time correlation functions.

J S Pedernales1, R Di Candia1, I L Egusquiza2

  • 1Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.

Physical Review Letters
|July 26, 2014
PubMed
Summary
This summary is machine-generated.

We developed an efficient quantum algorithm to compute n-time correlation functions for spinorial, fermionic, and bosonic operators. This method encodes correlations in an ancillary qubit, simplifying probe and control tasks in quantum systems.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Condensed Matter Physics

Background:

  • Calculating multi-time correlation functions is crucial for understanding quantum system dynamics.
  • Existing methods can be computationally intensive, especially for complex operators.

Purpose of the Study:

  • To present an efficient quantum algorithm for computing n-time correlation functions.
  • To encode these correlations using an ancillary qubit for enhanced probe and control.
  • To demonstrate applicability across spinorial, fermionic, and bosonic systems.

Main Methods:

  • An efficient quantum algorithm is proposed.
  • Correlations are encoded in an ancillary qubit.
  • Reconstruction involves measuring ancilla observables or their time derivatives.

Main Results:

  • The algorithm efficiently computes n-time correlation functions for diverse quantum operators.
  • Specific measurement strategies are outlined for spinorial, fermionic, and bosonic systems.
  • The method is compatible with linear response theory and various quantum platforms.

Conclusions:

  • The proposed quantum algorithm offers an efficient approach to characterizing quantum system dynamics.
  • Ancillary qubit encoding provides a powerful tool for probing and controlling quantum correlations.
  • This method advances the study of quantum many-body systems on different quantum computing platforms.