A universal quantum circuit scheme for finding complex eigenvalues

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Daskin A., Grama A., Kais S.

QUANTUM INFORMATION PROCESSING, vol.13, no.2, pp.333-353, 2014 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 2
  • Publication Date: 2014
  • Doi Number: 10.1007/s11128-013-0654-1
  • Journal Name: QUANTUM INFORMATION PROCESSING
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.333-353
  • Keywords: Quantum circuits, Quantum algorithms, Phase estimation, Complex eigenvalues, Resonance states, SIMULATION, ALGORITHM, COMPUTERS, CHEMISTRY, SYSTEMS

Abstract

We present a general quantum circuit design for finding eigenvalues of non-unitary matrices on quantum computers using the iterative phase estimation algorithm. In addition, we show how the method can be used for the simulation of resonance states for quantum systems.