A universal quantum circuit scheme for finding complex eigenvalues

Anmer Daskin, Ananth Grama, Sabre Kais

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)333-353
Number of pages21
JournalQuantum Information Processing
Volume13
Issue number2
DOIs
Publication statusPublished - 1 Feb 2014

Fingerprint

Quantum Circuits
Quantum computers
Quantum Computer
quantum computers
Circuit Design
Estimation Algorithms
Quantum Systems
eigenvalues
Eigenvalue
Networks (circuits)
Simulation
simulation

Keywords

  • Complex eigenvalues
  • Phase estimation
  • Quantum algorithms
  • Quantum circuits
  • Resonance states

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Statistical and Nonlinear Physics
  • Signal Processing
  • Modelling and Simulation
  • Theoretical Computer Science

Cite this

A universal quantum circuit scheme for finding complex eigenvalues. / Daskin, Anmer; Grama, Ananth; Kais, Sabre.

In: Quantum Information Processing, Vol. 13, No. 2, 01.02.2014, p. 333-353.

Research output: Contribution to journalArticle

Daskin, Anmer ; Grama, Ananth ; Kais, Sabre. / A universal quantum circuit scheme for finding complex eigenvalues. In: Quantum Information Processing. 2014 ; Vol. 13, No. 2. pp. 333-353.
@article{85235b7c9d2546ccbe29b39f084ebcbb,
title = "A universal quantum circuit scheme for finding complex eigenvalues",
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 = "Complex eigenvalues, Phase estimation, Quantum algorithms, Quantum circuits, Resonance states",
author = "Anmer Daskin and Ananth Grama and Sabre Kais",
year = "2014",
month = "2",
day = "1",
doi = "10.1007/s11128-013-0654-1",
language = "English",
volume = "13",
pages = "333--353",
journal = "Quantum Information Processing",
issn = "1570-0755",
publisher = "Springer New York",
number = "2",

}

TY - JOUR

T1 - A universal quantum circuit scheme for finding complex eigenvalues

AU - Daskin, Anmer

AU - Grama, Ananth

AU - Kais, Sabre

PY - 2014/2/1

Y1 - 2014/2/1

N2 - 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.

AB - 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.

KW - Complex eigenvalues

KW - Phase estimation

KW - Quantum algorithms

KW - Quantum circuits

KW - Resonance states

UR - http://www.scopus.com/inward/record.url?scp=84911395982&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84911395982&partnerID=8YFLogxK

U2 - 10.1007/s11128-013-0654-1

DO - 10.1007/s11128-013-0654-1

M3 - Article

VL - 13

SP - 333

EP - 353

JO - Quantum Information Processing

JF - Quantum Information Processing

SN - 1570-0755

IS - 2

ER -