V2EX hadamard

Hadamard

Definition / 释义

Hadamard(常作形容词)指与法国数学家雅克阿达马(Jacques Hadamard)相关的概念,常见于数学与量子计算中,例如:

  • Hadamard matrix:阿达马矩阵(元素多为 ±1、行列两两正交的一类矩阵)
  • Hadamard product:阿达马乘积/逐元素乘积(两个同型矩阵按对应元素相乘)
  • Hadamard transform:阿达马变换(与 Walsh 变换相关的离散变换)
  • Hadamard gate:阿达马门(量子计算中把基态变为叠加态的基本量子门)

(也可作专有名词,指“阿达马”这一姓氏。)

Pronunciation / 发音

/hdmrd/
/hdmd/

Examples / 例句

The Hadamard gate creates a superposition.
阿达马门会产生叠加态。

Using a Hadamard matrix, the researchers designed a coding scheme with strong error resistance.
研究人员利用阿达马矩阵设计了一种抗误差能力很强的编码方案。

Etymology / 词源

Hadamard源自法国数学家Jacques Hadamard(18651963)的姓氏。许多以他命名的术语来自他在函数论、偏微分方程、矩阵与数理方法等领域的贡献;后来这些概念被广泛引入信号处理、编码理论与量子信息等学科中。

Related Words / 相关词

Literary Works / 文学作品

  • Quantum Computation and Quantum Information(Nielsen & Chuang)讨论 Hadamard gate 等量子门
  • Introduction to Linear Algebra(Gilbert Strang)线性代数语境下常提及相关矩阵思想(含阿达马相关内容的常见出处)
  • Error Control Coding(Shu Lin & Daniel J. Costello)编码理论中常出现 Hadamard codes / Hadamard matrix
  • The Princeton Companion to Mathematics(编:Timothy Gowers 等)数学百科性质条目中涉及阿达马及其相关概念
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