A universal quantum circuit scheme for finding complex eigenvalues

A universal quantum circuit scheme for finding complex eigenvalues 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

A universal quantum circuit scheme for finding complex eigenvalues

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Publisher
Springer US
Copyright
Copyright © 2013 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-013-0654-1
Publisher site
See Article on Publisher Site

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.

Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 20, 2013

References

  • On the efficiency of quantum algorithms for Hamiltonian simulation
    Papageorgiou, A; Zhang, C
  • Simulated quantum computation of molecular energies
    Aspuru-Guzik, A; Dutoi, A; Love, P; Head-Gordon, M
  • Decomposition of unitary matrices for finding quantum circuits: application to molecular Hamiltonians
    Daskin, A; Kais, S

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