Qiskit Topological Codes

An implementation of Fibonacci Anyons in Haskell

This is a simulation of optimal decoder for Kitaev's Toric Codes, written in C++. The optimal toric decoder has a theoretical threshold of 11%. Through this simulation, I have successfully verified the threshold of 11%. This was done as a part of my MTech thesis at IIT Madras.

Python package for constructing and diagonalizing BdG Hamiltonians with various superconductor geometries, including modulated interface Josephson junctions, and finding Majorana modes and topological phases with efficient root finding algorithms.

Python package for obtaining transversality-enforced tight-binding models in photonic crystals

Microsoft has created this amazing new quantum chip called Majorana 1, and it's might be going to change everything.

Search for non-trivial elements of the kernel of the Burau representation of the four-strand braid group.

Efficient synthesis of Fibonacci anyon circuits

Done for the seminar: Advanced Topics of Quantum Computing @tum in Winter Semester 24/25.

Topological quantum gate compiler for Fibonacci anyons — braid synthesis + Solovay-Kitaev, runs in the browser

This repository implements the pseudovolume — a rigid, 2,880-value tensor associated to each positive rational scalar, indexed by the sixty-four hexagrams of the Yijing. The construction recovers the nine-node He Tu / Luo Shu arrangement and identifies the five Wuxing phases with the vertices of a regular 4-simplex in four-dimensional space.

TQEC circuit generator

Kitaev model in the topological quantum matter regime for a one-dimensional spinless fermion model of p-wave superfluidity provides the theoretical basis for the existence of Majorana zero modes at the extremities of a finite chain. The objective of this simulation is to provide a visual representation.