Quantum phase estimation algorithm

Quantum phase estimation algorithm

In quantum computing, the quantum phase estimation algorithm (also referred to as quantum eigenvalue estimation algorithm), is a quantum algorithm to estimate the phase (or eigenvalue) of an eigenvector of a unitary operator. More precisely, given a unitary matrix and a quantum state such that , the algorithm estimates the value of with high probability within additive error , using qubits (without counting the ones used to encode the eigenvector state) and controlled-U operations. The algorithm was initially introduced by Alexei Kitaev in 1995.

Comment
enIn quantum computing, the quantum phase estimation algorithm (also referred to as quantum eigenvalue estimation algorithm), is a quantum algorithm to estimate the phase (or eigenvalue) of an eigenvector of a unitary operator. More precisely, given a unitary matrix and a quantum state such that , the algorithm estimates the value of with high probability within additive error , using qubits (without counting the ones used to encode the eigenvector state) and controlled-U operations. The algorithm was initially introduced by Alexei Kitaev in 1995.
Depiction
PhaseCircuit-crop.svg
Has abstract
enIn quantum computing, the quantum phase estimation algorithm (also referred to as quantum eigenvalue estimation algorithm), is a quantum algorithm to estimate the phase (or eigenvalue) of an eigenvector of a unitary operator. More precisely, given a unitary matrix and a quantum state such that , the algorithm estimates the value of with high probability within additive error , using qubits (without counting the ones used to encode the eigenvector state) and controlled-U operations. The algorithm was initially introduced by Alexei Kitaev in 1995. Phase estimation is frequently used as a subroutine in other quantum algorithms, such as Shor's algorithm and the quantum algorithm for linear systems of equations.
Hypernym
Algorithm
Is primary topic of
Quantum phase estimation algorithm
Label
enQuantum phase estimation algorithm
Link from a Wikipage to another Wikipage
Alexei Kitaev
Category:Quantum algorithms
Eigenvalues and eigenvectors
Exponentiation by squaring
File:PhaseCircuit-crop.svg
Hadamard transform
Measurement in quantum mechanics
Parity measurement
Quantum algorithm
Quantum algorithm for linear systems of equations
Quantum computing
Quantum counting
Quantum Fourier transform
Quantum gate
Quantum logic gate
Quantum register
Quantum state
Qubit
Shor's algorithm
Unitary matrix
Unitary operator
With high probability
SameAs
2djRV
Algorithme d'estimation de phase quantique
Algoritmo cuántico de estimación de fase
Algoritmo quantistico di stima della fase
m.0cz8sgh
Q2835770
Quantum phase estimation algorithm
الخوارزمية الكمية لتقدير الطور
Subject
Category:Quantum algorithms
Thumbnail
PhaseCircuit-crop.svg?width=300
WasDerivedFrom
Quantum phase estimation algorithm?oldid=1073584320&ns=0
WikiPageLength
11117
Wikipage page ID
28615265
Wikipage revision ID
1073584320
WikiPageUsesTemplate
Template:Quantum information
Template:Reflist
Template:Rp
Template:Short description
Template:Use American English