https://github.com/jmiszczak/hoqus

hoqus - Haskell-oriented quantum calculations
https://github.com/jmiszczak/hoqus

linear-algebra matrices matrix-calculations quantum-computing quantum-mechanics vector-math

Last synced: about 1 month ago
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hoqus - Haskell-oriented quantum calculations

• Host: GitHub
• URL: https://github.com/jmiszczak/hoqus
• Owner: jmiszczak
• License: mit
• Created: 2017-08-17T09:19:49.000Z (over 7 years ago)
• Default Branch: master
• Last Pushed: 2024-01-04T10:29:08.000Z (12 months ago)
• Last Synced: 2024-01-04T11:35:58.129Z (12 months ago)
• Topics: linear-algebra, matrices, matrix-calculations, quantum-computing, quantum-mechanics, vector-math
• Language: Haskell
• Homepage:
• Size: 32.2 KB
• Stars: 2
• Watchers: 1
• Forks: 1
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# hoqus package

## Description

This repo contains some functions used for playing with quantum mechanics in

Haskell. Much of this work is based on [package for

Mathematica](https://github.com/jmiszczak/qi).

## Dependencies

Numerical procedures used in ```hoqus``` are based on [hmatrix package for

Haskell](https://hackage.haskell.org/package/hmatrix).

# Examples

## Quantum computing

The following program (see ```examples/ex01_ket_proj.hs```) demonstrates how to

use kets and projectors along with matrix-vector multiplication.

```haskell

module Main where

import Numeric.LinearAlgebra

import Hoqus.Dirac

main = do

  let dim = 4

  let v1 = ket dim 0

  let v2 = ket dim 4

  let prj = proj 4 0 0

  print v1

  print v2

  print $ v1 + v2

  print $ prj #> v1

  print $ prj #> v2

```

In order to compile on of the exampes use ```ghc``` in the main directory

```

ghc --make examples/ex01_ket_proj

```

To run the programm issue

```

./examples/ex01_ket_proj

```

in the main directory.

## Other functions

Module ```Cplx``` provides some functionality for manipulating complex numbers.

It is located in ```alternative``` directory as it is not used in the

```hoqus```. The simplest example of using it is the calculation of the sum of

two complex numbers using ```ghci``` interpreter. This requires loading

```Cplx.hs``` module, so you need to make sure that ```ghci``` know whre it is

located.

```haskell

ghci> :load Cplx

[1 of 1] Compiling Cplx             ( Cplx.hs, interpreted )

Ok, modules loaded: Cplx.

ghci> let a = 1+:2

ghci> let b = 3+:3

ghci> a+b

(4.0,5.0)

```