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## Solution for Approaching Quantum Computing 1st Edition Chapter 3, Problem 1

by Dan C. Marinescu Gabriela M. Marinescu
70 Solutions 6 Chapters 9447 Studied ISBN: 9780131452244 5 (1)

# Chapter 3, Problem 1 : 3.1 Show that the Pauli matrices (Jk ...

3.1 Show that the Pauli matrices (Jk have the following properties: (1) they are Hermitian:  (Jk = (Jk,    k E (x, y, z),

(2) their squares are equal to the identity matrix I: (J; = (J; = (J; = I,

(3) (Jx(Jy = io(this is also true for a cyclic permutation of indices), and

(4) they satisfy the anti-commutation relation:  (Jx(Jy + (Jy(Jx = 0 (this is also true for a

cyclic permutation of indices).

## Step-By-Step Solution

3.1 Solution:

Given  ### Recent Guides Solved : 100% Textbook Solutions ISBN: 9781743079959 Subject: Finance Chapters: 21 Answers: 780 Browse Answers 5 (1) Solved : 100% Textbook Solutions ISBN: 9781743079959 Subject: Finance Chapters: 21 Answers: 780 Browse Answers 5 (1) Solved : 100% Textbook Solutions ISBN: 9781743079959 Subject: Finance Chapters: 21 Answers: 780 Browse Answers 5 (1) Solved : 100% Textbook Solutions ISBN: 9781743079959 Subject: Finance Chapters: 21 Answers: 780 Browse Answers 5 (1)