03 2022 档案

Quantum Fourier Transform
摘要：Quantum Fourier Transform: $$\sum_{j=0}{N-1}{x_j|j\rangle}\Rightarrow \sum_{j=0}{N-1}{x_j\frac{1}{\sqrt{N}}\sum_{k=0}{N-1}{e{2\pi i\frac{jk}{N}}|k\ran 阅读全文
posted @ 2022-03-20 16:57 narip 阅读(27) 评论(0) 推荐(0)
Sample variance
摘要：If we use sample mean: \(\frac{\sum_i{\left( X_i-\bar{X} \right)}^2}{n}\), then we should use sample variance:\(\frac{\sum_i{\left( X_i-\bar{X} \right 阅读全文
posted @ 2022-03-16 14:37 narip 阅读(47) 评论(0) 推荐(0)
Differences of Bayesian and Frequentists
摘要：Refer links 阅读全文
posted @ 2022-03-12 14:05 narip 阅读(16) 评论(0) 推荐(0)
$SU(2)$ 与 $SO(3)$ 的对应关系
摘要：从Pauli算符看SU(2)与SO(3) 如果$U\in SU\left( 2 \right) $,对于任意一个$2x2$零迹厄密矩阵$\sigma=\left( \begin{matrix} z& x-iy\ x+iy& -z\ \end{matrix} \right)$，都有$U\sigma U 阅读全文
posted @ 2022-03-09 22:24 narip 阅读(375) 评论(0) 推荐(0)
拉格朗日乘法和KKT条件
摘要：Most easy reading material!!! 转载 阅读全文
posted @ 2022-03-09 20:29 narip 阅读(39) 评论(0) 推荐(0)
VQE 简单实现
摘要：实现简单的VQE。 导入包。 from random import random import numpy as np import qiskit from numpy import pi # importing Qiskit from qiskit import QuantumCircuit, e 阅读全文
posted @ 2022-03-09 20:29 narip 阅读(781) 评论(0) 推荐(0)
Interaction Picture, Rorating frame
摘要：Hamiltonian in the interaction picture $$ i\partial |\psi \rangle =H|\psi \rangle ,e^{iH_0t}|\psi \rangle =|\phi \rangle \ i\partial \left( e^{-iH_0t} 阅读全文
posted @ 2022-03-05 13:36 narip 阅读(22) 评论(0) 推荐(0)
CVX example for verification of a property of Chebyshev polynomial
摘要：Suppose \(p(x)\) is a polynomial of degree \(\leq n\) which is bounded in \([-1,+1]\) for \(x \in[-1,+1]\). What is the largest \(p^{\prime}(0)\) can 阅读全文
posted @ 2022-03-03 09:44 narip 阅读(61) 评论(0) 推荐(0)