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Quantum Tensors

It is a JavaScript / TypeScript package for sparse tensor operations on complex numbers. For example for quantum computing, quantum information, and well - the Quantum Game.

(1.00 +0.00i) |1,2,>,V⟩ -> (-0.71 +0.00i) |1,2,>,H⟩ + (0.71 +0.00i) |1,2,>,V⟩

Developed at the Centre of Quantum Technologies, National Univeristy of Singapore, by Piotr Migdał, Philippe Cochin et al. It is a part of the Quantum Game 2 project.

We base the philosophy of this package on:

  • Sparse operations (both for vectors and matrices)
  • Complex numbers
  • Tensor structure
  • Named tensor dimensions (vide Tensors considered harmful): there is a difference between a 2x2 operator on spin and on polarization. It helps with catching errors.

Documentation: p.migdal.pl/quantum-tensors (generated by TypeDoc).

Quantum Tensors logo


Right now, you can install this package from this GitHub repository. If you use NPM:

npm install stared/quantum-tensors#master

And if you use yarn:

yarn add stared/quantum-tensors#master

It will download it and run scripts to process TypeScript files, so it generates JavaScript. Right now, we intend to use it with TypeScript only - if you tried to use it with JavaScript, let us know!

And then in your project write:

import * as qt from 'quantum-tensors'

Once it gets more mature, I will push it to the NPM repository.


For "Quantum Game 2" we needed a fast and precise way to simulate quantum stuff, so after tinkering with mathjs and TensorFlow.js we decided to code what we need from scratch. At some point, we may want to use one of these libraries for backend, if we discover that it helps.

Also, https://github.com/stared/thinking-in-tensors-writing-in-pytorch by Piotr Migdał.


Interesting ideas

  • A better notation (e.g. ⨂(op1, opt2, op3))
  • An equation viewer

Generated using TypeDoc