https://yanevskiv.com/ 2026-10-20T22:00:50+00:00 https://yanevskiv.com/ https://yanevskiv.com/lib/tpl/yanevskiv/images/favicon.ico text/html 2026-09-17T16:22:19+00:00 Anonymous (anonymous@undisclosed.example.com) https://yanevskiv.com/syntax?rev=1789662139&do=diff Wiki syntax This wiki runs DokuWiki with the markdowku plugin on top, so both DokuWiki markup and Markdown work in the same page, often interchangeably. Math is handled by KaTeX and LaTeX figures by texrender. Where the two markups overlap, this page shows both and says which one to prefer. Everything below was checked against this installation. The differences from stock DokuWiki are real, not theoretical.$\begin{pmatrix}1\\0\end{pmatrix}$$\begin{pmatrix}0\\1\end{pmatrix}$$e^{i\pi} + 1 = 0$$$… text/html 2026-09-14T16:32:32+00:00 Ivan Janevski (iv@undisclosed.example.com) https://yanevskiv.com/home?rev=1789403552&do=diff Home Hi, I'm Ivan! This website is my personal encyclopedia about various technical topics. The topics I cover on this wiki are mostly related to technology, but on occasion I also write about mathematics and physics. Three major topics on this website are: 1. text/html 2026-08-26T18:16:40+00:00 Ivan Janevski (iv@undisclosed.example.com) https://yanevskiv.com/quantum-gate-single-qubit?rev=1787768200&do=diff Single-qubit gates Single-qubit gates are unitary operations that act on one qubit. They are represented by $2 \times 2$ unitary matrices and form the Lie group $\mathrm{SU}(2)$. Every quantum computation can be decomposed into single-qubit rotations and two-qubit entangling gates (e.g., CNOT), making single-qubit gates the fundamental building blocks of quantum circuits.$|\psi\rangle$$U|\psi\rangle$$S^4 = I$$T^8 = I$$\theta$$\mathrm{SU}(2)$$R_X$$R_Y$$R_Z$$U(\phi, \theta, \lambda)$$2 \times 2$$… text/html 2026-08-26T18:03:32+00:00 Ivan Janevski (iv@undisclosed.example.com) https://yanevskiv.com/quantum-gate-two-qubit?rev=1787767412&do=diff Two-qubit gates Two-qubit gates are unitary operations that act on a pair of qubits. They are represented by $4 \times 4$ unitary matrices and form the Lie group $\mathrm{SU}(4)$. Unlike single-qubit gates, which only rotate individual qubits on their own Bloch spheres, two-qubit gates can create entanglement between qubits, which is what makes a quantum computer more than a collection of independent classical bits.$|\psi\rangle \in \mathbb{C}^4$$U|\psi\rangle$$n$$A \otimes B$$A, B$$\text{XX}$$… text/html 2026-08-26T18:02:48+00:00 Ivan Janevski (iv@undisclosed.example.com) https://yanevskiv.com/quantum-gate?rev=1787767368&do=diff Quantum gate Quantum gates are unitary operations that transform quantum states. Like classical logic gates (AND, OR, NOT), quantum gates manipulate qubits -- but they preserve superposition and enable entanglement. Every quantum gate is reversible (unitary matrix $U$$U^\dagger U = I$$n$$2^n \times 2^n$$\mathrm{SU}(2^n)$$|\psi\rangle$$U|\psi\rangle$ text/html 2026-06-19T10:20:12+00:00 Ivan Janevski (iv@undisclosed.example.com) https://yanevskiv.com/?image=01-ss-2025-2026-projekat-postavka-v1.0.pdf&ns=0&rev=1781864412&tab_details=history&media_do=diff&do=media <img src="https://yanevskiv.com/lib/images/fileicons/svg/pdf.svg" alt="01-ss-2025-2026-projekat-postavka-v1.0.pdf" loading="lazy" width="500" height="500" /> text/html 2026-06-17T08:49:10+00:00 Ivan Janevski (iv@undisclosed.example.com) https://yanevskiv.com/?image=templejt.pdf&ns=0&rev=1781686150&tab_details=history&media_do=diff&do=media <img src="https://yanevskiv.com/lib/images/fileicons/svg/pdf.svg" alt="templejt.pdf" loading="lazy" width="500" height="500" /> text/html 2026-05-14T18:13:24+00:00 yanevskiv (yanevskiv@undisclosed.example.com) https://yanevskiv.com/?image=hpc_background.png&ns=0&rev=1778782404&tab_details=history&media_do=diff&do=media <img src="https://yanevskiv.com/_media/hpc_background.png?w=500&amp;h=500&amp;tok=dcdeb8" alt="hpc_background.png" loading="lazy" width="500" height="500" /> text/html 2026-05-11T20:46:53+00:00 yanevskiv (yanevskiv@undisclosed.example.com) https://yanevskiv.com/?image=0%3Alogo.png&ns=0&rev=1778532413&tab_details=history&media_do=diff&do=media <img src="https://yanevskiv.com/_media/0/logo.png?w=500&amp;h=500&amp;tok=108cd5" alt="logo.png" loading="lazy" width="500" height="500" /> text/html 2026-05-11T10:10:47+00:00 yanevskiv (yanevskiv@undisclosed.example.com) https://yanevskiv.com/?image=bloch_sphere.png&ns=0&rev=1778494247&tab_details=history&media_do=diff&do=media <img src="https://yanevskiv.com/_media/bloch_sphere.png?w=500&amp;h=500&amp;tok=e5f6e8" alt="bloch_sphere.png" loading="lazy" width="500" height="500" /> text/html 2026-05-04T13:03:20+00:00 yanevskiv (yanevskiv@undisclosed.example.com) https://yanevskiv.com/?image=fdsa.txt&ns=0&rev=1777899800&tab_details=history&media_do=diff&do=media <img src="https://yanevskiv.com/lib/images/fileicons/svg/txt.svg" alt="fdsa.txt" loading="lazy" width="500" height="500" /> text/html 2026-04-21T20:46:53+00:00 yanevskiv (yanevskiv@undisclosed.example.com) https://yanevskiv.com/?image=chatgpt_image_apr_21_2026_10_43_37_pm.png&ns=0&rev=1776804413&tab_details=history&media_do=diff&do=media <img src="https://yanevskiv.com/_media/chatgpt_image_apr_21_2026_10_43_37_pm.png?w=500&amp;h=500&amp;tok=ce88fb" alt="chatgpt_image_apr_21_2026_10_43_37_pm.png" loading="lazy" width="500" height="500" /> text/html 2026-02-06T01:57:21+00:00 yanevskiv (yanevskiv@undisclosed.example.com) https://yanevskiv.com/?image=git-folders.png&ns=0&rev=1770343041&tab_details=history&media_do=diff&do=media <img src="https://yanevskiv.com/_media/git-folders.png?w=500&amp;h=500&amp;tok=d53880" alt="git-folders.png" loading="lazy" width="500" height="500" /> text/html 2026-02-02T20:12:08+00:00 yanevskiv (yanevskiv@undisclosed.example.com) https://yanevskiv.com/?image=logo.png&ns=0&rev=1770063128&tab_details=history&media_do=diff&do=media <img src="https://yanevskiv.com/_media/logo.png?w=500&amp;h=500&amp;tok=0c2bc6" alt="logo.png" loading="lazy" width="500" height="500" /> text/html 2026-02-02T20:05:17+00:00 yanevskiv (yanevskiv@undisclosed.example.com) https://yanevskiv.com/?image=profile.png&ns=0&rev=1770062717&tab_details=history&media_do=diff&do=media <img src="https://yanevskiv.com/_media/profile.png?w=500&amp;h=500&amp;tok=8becd4" alt="profile.png" loading="lazy" width="500" height="500" /> text/html 2026-02-02T20:04:09+00:00 yanevskiv (yanevskiv@undisclosed.example.com) https://yanevskiv.com/?image=0%3Aprofile.png&ns=0&rev=1770062649&tab_details=history&media_do=diff&do=media <img src="https://yanevskiv.com/_media/0/profile.png?w=500&amp;h=500&amp;tok=df59fc" alt="profile.png" loading="lazy" width="500" height="500" />