A universal quantum circuit scheme for finding complex eigenvalues

Other literature type, Preprint OPEN
Daskin, Anmer; Grama, Ananth; Kais, Sabre;
  • Publisher: Purdue University
  • Related identifiers: doi: 10.1007/s11128-013-0654-1
  • Subject: CHEMISTRY | Nanoscience and Nanotechnology | Quantum circuits | SIMULATION | Phase estimation | Resonance states | SYSTEMS | Computer Science - Information Theory | Complex eigenvalues | Quantum algorithms | COMPUTERS | Quantum Physics | ALGORITHM
    acm: MathematicsofComputing_NUMERICALANALYSIS | ComputerSystemsOrganization_MISCELLANEOUS | ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION

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