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Quantum Computing Revision Sheet

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Fundamental Notation and Concepts

Qubit Representation

  • A qubit can be represented in the Dirac (Bra-Ket) notation as a linear combination of basis states: $|\psi\rangle = \alpha|0\rangle + \beta|1\rangle$ Where $\alpha$ and $\beta$ are complex numbers satisfying $|\alpha|^2 + |\beta|^2 = 1$

Statistics Quick Reference Guide

Chi-squared Distribution

Formula

$X^2(n) = \text{Gamma}(\frac{n}{2}, \frac{1}{2})$ In a sample:

$\frac{(n-1)S^2}{\sigma^2} \sim X^2(n-1)$

Parameters

Parameter Meaning
n Degrees of freedom
# Statistics Quick Reference Guide
## Chi-squared Distribution
### Formula
$X^2(n) = \text{Gamma}(\frac{n}{2}, \frac{1}{2})$
In a sample: $\frac{(n-1)S^2}{\sigma^2} \sim X^2(n-1)$
### Parameters
| Parameter | Meaning |

For this tutorial I will be making a bypass for dutchycorp.space, if you want to follow along example links are here.

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  1. Manually solve the captcha or follow the steps on the site and obtain the destination of the shortener. In my case this is http://dutchycorp.ovh/sl/DmtIL8Om

  2. Go back to the shortener's site and Press ctrl+U or right-click and select view page source

  3. Press ctrl+f and search the destination image