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        <description>GPU Rendering Artifacts on ThinkPad X220 with Hyprland — Diagnosis &amp; Fix

Hardware &amp; Software Context
  ------ Machine  Lenovo ThinkPad X220 (4291SWP)  GPU  Intel HD Graphics 3000 — Sandy Bridge, Gen 6  Kernel driver  i915  Mesa driver  crocus (Gallium3D for Intel Gen 4–8)</description>
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        <title>List of quantum computing concepts</title>
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        <description>List of quantum computing concepts

	* Qubit
	* Born rule
	* Dirac notation
	* Global phase
	* $\mathbb{CP}^1$
	* Hopf fibration
	* Bloch sphere
	* Pure state
	* Mixed state
	* $\lvert 0\rangle$
	* $\lvert 1\rangle$
	* $\lvert +\rangle$
	* $\lvert -\rangle$
	* $\lvert i\rangle$
	* $\lvert -i\rangle$
	* Two qubits
	* Bell state
	* Three qubits
	* W state
	* GHZ state
	* NOON state
	* Quantum register
	* Quantum gate
	* Multiqubit gates
	* I gate
	* X-gate
	* Y gate
	* Z gate
	* Rotation gates
	* …</description>
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        <title>Writing guide</title>
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        <description>Writing guide

Writing guide (this article) is a guide to writing articles in this wiki.

Every article should preferably start with a main section followed by a few paragraphs. The first paragraph should preferably start with the name of the article in bold (just as it did in this article) followed by a few sentences that further describe the concept.$\alpha,\beta,\gamma$$X$$$X = \begin{pmatrix} 0 &amp; 1 \\ 1 &amp; 0 \end{pmatrix}$$</description>
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        <title>Qubit</title>
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        <description>Qubit

Qubit is the quantum computing equivalent of a bit.

A classical bit can be 0 or 1. There are no probabilities involved at all, but we can assign them anyway. If a bit is 1, then it&#039;s 1 with 100% probability and 0 with 0% probability. Conversely, if a bit is $\lvert 0\rangle$$\lvert 1\rangle$$\lvert 0\rangle$$\lvert 1\rangle$$\lvert\psi\rangle$$$\lvert\psi\rangle = a\lvert 0\rangle + b\lvert 1\rangle$$$a$$b$$\lvert 0\rangle$$a = \frac{\sqrt 2}{2} + i\frac{\sqrt 2}{2}$$\lvert 1\rangle$$b =…</description>
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        <title>Disclaimer - created</title>
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        <description>Disclaimer

This website is not an authoritative source. It is written by one person -- me. It&#039;s not meant to serve as documentation or a definitive guide to the technology I talk about. I write about topics that interest me and I explain them in the way I understand them</description>
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        <title>Home</title>
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        <description>Home

Hi, I&#039;m Ivan! This website is my encyclopedia about various technical topics. The topics I cover on this wiki are mostly related to technology, but sometimes I also write about mathematics and physics.

I&#039;m an embedded software engineer. Therefore, most of the articles on this website are going to be written from that lens. For example, if I make an analogy, it&#039;s probably going to be related to embedded engineering in some way. I use</description>
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        <title>Y gate</title>
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        <description>Y gate

Y gate (or Pauli-Y gate) is a single-qubit quantum gate represented by the second Pauli matrix. It combines the actions of the X gate (bit flip) and the Z gate (phase flip), and also introduces a factor of $i$.

$$Y = \begin{pmatrix}0 &amp; -i \\ i &amp; 0\end{pmatrix}$$

The gate maps the computational basis states as $Y\lvert 0\rangle = i\lvert 1\rangle$$Y\lvert 1\rangle = -i\lvert 0\rangle$$\pi$$y$$Y$$Y^\dagger = Y$$Y^\dagger Y = I$$Y^2 = I$$Y = iXZ$$\lvert i\rangle$$+1$$\lvert -i\rangle$$-1$</description>
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        <title>X-gate</title>
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        <description>X-gate

X-gate (or Pauli-X gate / Quantum NOT gate) is a 1-qubit quantum gate that serves as the quantum equivalent of logical NOT. It&#039;s represented by the following 2×2 matrix.

$$ X = \begin{pmatrix}0 &amp; 1\\ 1 &amp; 0\end{pmatrix}$$

The gate flips $\lvert 0\rangle$ to $\lvert 1\rangle$, and $\lvert 1\rangle$ to $\lvert 0\rangle$, which is why it&#039;s called the quantum equivalent of NOT.$\pi$</description>
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