Quantum circuits for strongly correlated quantum systems

Frank Verstraete, J. Ignacio Cirac, José Ignacio Latorre

Publications: Contribution to journalArticlePeer Reviewed

Abstract

We present an approach to gain detailed control on the quantum simulation of strongly correlated quantum many-body systems by constructing the explicit finite quantum circuits that diagonalize their dynamics. As a particularly simple instance, the full dynamics of a one-dimensional Quantum Ising model in a transverse field with four spins is shown to be reproduced using a quantum circuit of only six local gates. This opens up the possibility of experimentally producing strongly correlated states, their time evolution at zero time, and even thermal superpositions at zero temperature. Our method also allows one to uncover the exact circuits corresponding to models that exhibit topological order and to stabilizer states.
Original languageEnglish
Article number032316
Number of pages5
JournalPhysical Review A
Volume79
Issue number3
DOIs
Publication statusPublished - Mar 2009

Austrian Fields of Science 2012

  • 103025 Quantum mechanics

Keywords

  • Ising model
  • many-body problems
  • quantum gates
  • COMPUTERS
  • ATOMS

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