Quantum phase estimation algorithm 老井 hi,shunbao 来自专栏 · 量子算法拾录 3 人赞同了该文章 对于相位估计要搞明白下面几个问题 1、十进制表示与二进制表示的自如切换 |j1,j2,⋅⋅⋅,jn> ∑k=02t−1e2πiφk|k> (|0>+e2πi0.φt|1>)(|0>+e2πi0.φt−1φt|1>)⋅⋅...
Quantum Phase Estimation量子相位估计,顾名思义,通过量子算法得到给定输入的相位信息,估计即是这个相位结果的精度和我们算法的设置相关。Quantum Phase Estimation求解的本质问题是矩阵的特征值估计,即给定矩阵U求解出其特征值(在Dieter van Melkebeek的课件中,称该问题为eigenvalue estimation【1】)。 问题描述: 输入:...
Shepelyansky. Quantum phase estimation al- gorithm in presence of static imperfections. Technical report, arXiv:0711.1756, submitted to the European Physical Journal, 2007.García-Mata I., Shepelyansky D.L.: Quantum phase estimation algorithm in presence of static imperfections. Eur. Phys. J. ...
Phase Estimation problem, which can be solved efficiently using an algorithm that incorporates the QFT. Given a unitary operator U and a quantum register that contains an eigenvector of U, the Phase Estimation Problem asks for the eigenvalue that corresponds to the given eigenvector. By using...
First option corresponds to the quantum phase estimation algorithm (PEA),21 which exploits unitary dynamics of the system controlled by register qubits. Although this algorithm is efficient, giving logarithmic error and polynomial gate scaling, its implementation requires substantial circuit depth for ...
The phase estimation algorithm is described in Figure 2.4. It uses two registers: Sign in to download full-size image Figure 2.4. Phase estimation. • The first consists of t qubits q1,…,qt, all of which are initialized in state |0〉; • The second is the system p which U applies...
Moreover, a metrological procedure based on a phase estimation algorithm is Heisenberg-limited: it attains the resolution δλ ~ [δλ]H within a large measurement range Δλ≫[δλ]H with a Heisenberg scaling in the phase accumulation time τ, i.e., δλ ∝ ℏ/(μτ) for...
class IterativePhaseEstimation(num_iterations, quantum_instance=None, sampler=None)GitHub Bases: qiskit.algorithms.phase_estimators.phase_estimator.PhaseEstimator Run the Iterative quantum phase estimation (QPE) algorithm. Given a unitary circuit and a circuit preparing an eigenstate, return the phase of...
1) quantum phase estimation algorithm 量子相位估计算法 2) quantum phase estimation 量子相位估计 1. Factorizations of Toffoli gate andquantum phase estimationare given and proved so that they can be well-understanded and used. 给出了Toffoli门和量子相位估计第一阶段运算P这两个受控运算的分解及相应的图...
We also prove that majorization in phase-estimation algorithms follows in a most natural way from unitary evolution, unlike its counterpart in Grover's algorithm.#PACS:03.67.-a, 03.67.Lxdoi:10.1023/A:1022100320138Román OrúsJosé I. Latorre...