Questions tagged [pauli-gates]

For questions about Pauli matrices in general or Pauli gates in particular, as relevant to quantum computing and/or quantum information theory. The Pauli matrices are a set of three 2 × 2 complex matrices which are Hermitian and unitary. The three Pauli gates are: Pauli-X gate, Pauli-Y gate & Pauli-Z gate. X = {{0,1},{1,0}}; Y = {{0,-i},{i,0}}; Z = {{1,0},{0,-1}}.

25 questions
Filter by
Sorted by
Tagged with
52 views

312 views

Definition of the Pauli group and the Clifford group

There seem to be two definitions of the Pauli group. In Nielsen and Chuang, the Pauli group on 1 qubit is defined as \begin{align*} \mathcal{P}_1 = \{\pm I, \pm iI, \pm X, \pm iX, \pm Y, \pm iY, \pm Z,...
28 views

What is the need of Operator module from qiskit.aqua?

My question is two-fold: a) Why is it that Pauli takes two arguments (z,x). What is the role of x? In the max_cut module, z is initialized as an np array of size=no of nodes in graph with False dtype ...
148 views

CRZ and CRY Gates

I am trying to understand the CRZ and CRY gates functions : what do they actually used for ? why we require a certain angle rotation around z or y Axis on a Qubit ? and what does it yield ? ...
75 views

How to compute the average value $\langle X_1 Z_2\rangle$ for a two-qubit system?
Show that the average value of the observable $X_1Z_2$ in a two-qubit system measured in the state $(|00\rangle + |11\rangle)/\sqrt{2}$ is zero. How would we approach this question? I understand ...