A universal quantum circuit scheme for finding complex eigenvalues

Author

• Anmer Daskin, Purdue UniversityFollow
• Ananth Grama, Purdue UniversityFollow
• Sabre Kais, Purdue University, Birck Nanotechnology CenterFollow

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.

Keywords

Quantum circuits, Quantum algorithms, Phase estimation, Complex eigenvalues, Resonance states, SIMULATION, ALGORITHM, COMPUTERS, CHEMISTRY, SYSTEMS

DOI

10.1007/s11128-013-0654-1

Date of this Version

2-2014

Recommended Citation

Daskin, Anmer; Grama, Ananth; and Kais, Sabre, "A universal quantum circuit scheme for finding complex eigenvalues" (2014). Birck and NCN Publications. Paper 1521.
http://dx.doi.org/10.1007/s11128-013-0654-1