topological-quantum-computation

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.

Multi-code QEC resource estimator for Qiskit circuits

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.

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

Efficient synthesis of Fibonacci anyon circuits

Code & data for "Generic CHSH Violation in Fibonacci Anyon Braiding: A Landscape Analysis."

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

Code & data for "Leggett–Garg saturation and structural signatures in Fibonacci-anyon braiding."

Code & data for "Bell Algebra without Bell Violation: CHSH Operators for Ising Anyons in the Kitaev Honeycomb Model."

Code & data for "Correlation Witnesses versus Magic: A k-Resolved Nonstabilizerness Map for SU(2)_k Anyon Fusion Spaces."

Code & data for "A dichotomous Leggett–Garg witness for braid-representation density in SU(2)_k."

Code & data for "Resolving the Full Modular Data of a Doubled-Fibonacci String-Net on a Finite Torus by Point-Group Rotation…"

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.