Journal
PHYSICAL REVIEW A
Volume 82, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.82.062303
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Funding
- DARPA
- Air Force Office for Scientific Research
- Laboratory of Physical Sciences
- National Security Agency
- Army Research Office, National Science Foundation [0726909]
- JSPS-RFBR [09-02-92114]
- MEXT
- Funding Program for Innovative Research and Development on Science and Technology (FIRST)
- Ikerbasque Foundation
- National Natural Science Foundation of China [10975080, 61025022]
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We propose a quantum algorithm for finding eigenvalues of non-unitary matrices. We show how to construct, through interactions in a quantum system and projective measurements, a non-Hermitian or non-unitary matrix and obtain its eigenvalues and eigenvectors. This proposal combines ideas of frequent measurement, measured quantum Fourier transform, and quantum state tomography. It provides a generalization of the conventional phase estimation algorithm, which is limited to Hermitian or unitary matrices.
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