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Quantum phase estimation algorithm

In quantum computing, the quantum phase estimation algorithm is a quantum algorithm to estimate the phase corresponding to an eigenvalue of a given unitary operator. Because the eigenvalues of a unitary operator always have unit modulus, they are characterized by their phase, and therefore the algorithm can be equivalently described as retrieving either…

Measurement, Overview of the algorithm & Detailed description of the algorithm

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Overview of the algorithm

Registers Unitary operator Qubit Eigenvector Quantum phase

8 related topics

Detailed description of the algorithm

Hadamard gate operation Quantum Fourier transform Measurement

3 related topics

Toy examples

1 related topics

Overview

Quantum computing Quantum algorithm Unitary operator Unit modulus Alexei Kitaev

8 related topics

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Overview

Quantum computing
Quantum algorithm
Unitary operator Unitary matrix
Unit modulus Absolute value of a complex number
Alexei Kitaev
Shor's algorithm
Quantum algorithm for linear systems of equations
Quantum counting algorithm

Overview of the algorithm

Registers Quantum register
Unitary operator
Qubit
Eigenvector Eigenvalues and eigenvectors
Quantum phase Phase-space formulation
Quantum state
With high probability
Controlled-U Quantum logic gate

Detailed description of the algorithm

Hadamard gate operation Hadamard transform
Quantum Fourier transform
Measurement Measurement in quantum mechanics

Toy examples

Hadamard gate

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Quantum phase estimation algorithm

Nodes25

Edges24

Triples6

Avg. degree1.92

Density0.08

Components1

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Quantum phase estimation algorithm

Top relations

related to overview · 5

Quantum phase estimation algorithm → Due, Let, The, This, Thus

is a · 1

Quantum phase estimation algorithm → quantum algorithm to estimate the phase corresponding to an eigenvalue of a given unitary operator

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Important terminology

displaystyle rangle algorithm psi theta state register pi left frac -1 phase quantum delta otimes lambda thus right probability first

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Quantum phase estimation algorithm	is a	quantum algorithm to estimate the phase corresponding to an eigenvalue of a given unitary operator	0.90	text
Quantum phase estimation algorithm	related to overview	The	0.60	section
Quantum phase estimation algorithm	related to overview	Let	0.60	section
Quantum phase estimation algorithm	related to overview	Thus	0.60	section
Quantum phase estimation algorithm	related to overview	Due	0.60	section
Quantum phase estimation algorithm	related to overview	This	0.60	section

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