A Universal Quantum Circuit Scheme For Finding Complex Eigenvalues
Anmer Daskin, Ananth Grama, Sabre Kais
TL;DR
This paper introduces a universal quantum circuit scheme that employs iterative phase estimation to find eigenvalues of non-unitary matrices, enabling the simulation of resonance states in quantum systems.
Contribution
It proposes a general quantum circuit design for eigenvalue estimation of non-unitary matrices, expanding quantum simulation capabilities.
Findings
Effective eigenvalue estimation for non-unitary matrices demonstrated
Applicable to simulation of quantum resonance states
Potential for broad quantum computational applications
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 particular, we show how the method can be used for the simulation of resonance states for quantum systems.
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