https://github.com/vitormarquesr/qwalkr

qwalkr: Handle Continuous-Time Quantum Walks with R
https://github.com/vitormarquesr/qwalkr

linear-algebra probability-theory quantum-computing quantum-walk r statistics

Last synced: about 1 month ago
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qwalkr: Handle Continuous-Time Quantum Walks with R

• Host: GitHub
• URL: https://github.com/vitormarquesr/qwalkr
• Owner: vitormarquesr
• License: other
• Created: 2023-07-17T21:20:12.000Z (over 1 year ago)
• Default Branch: main
• Last Pushed: 2023-10-08T00:21:47.000Z (over 1 year ago)
• Last Synced: 2024-11-24T12:47:27.997Z (2 months ago)
• Topics: linear-algebra, probability-theory, quantum-computing, quantum-walk, r, statistics
• Language: R
• Homepage: https://vitormarquesr.github.io/qwalkr/
• Size: 627 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.Rmd
  • License: LICENSE

Awesome Lists containing this project

README

        
---

output: github_document

---

```{r, include = FALSE}

knitr::opts_chunk$set(

  collapse = TRUE,

  comment = "#>",

  fig.path = "man/figures/README-",

  out.width = "100%"

)

```

# qwalkr 

[![R-CMD-check](https://github.com/vitormarquesr/qwalkr/actions/workflows/R-CMD-check.yaml/badge.svg)](https://github.com/vitormarquesr/qwalkr/actions/workflows/R-CMD-check.yaml)

[![Lifecycle: experimental](https://img.shields.io/badge/lifecycle-experimental-orange.svg)](https://lifecycle.r-lib.org/articles/stages.html#experimental)

[![CRAN status](https://www.r-pkg.org/badges/version/qwalkr)](https://CRAN.R-project.org/package=qwalkr)

[![Downloads](https://cranlogs.r-pkg.org/badges/qwalkr)](https://cran.r-project.org/package=qwalkr)

## Overview 

qwalkr is a numerical suite for investigating quantum walks, providing estimates of matrices of interests that help you obtain insight into the evolution of such systems:

**Quantum Walks**

* `ctqwalk()` creates a continuous-time quantum walk.

**Investigate the Hamiltonian**

* `get_eigspace()` obtains the eigenvectors associated with an eigenspace.

* `get_eigproj()` obtains the orthogonal projector associated with an eigenspace.

* `get_eigschur()`obtains the Schur product of orthogonal projectors.

* `act_eigfun()` applies a function to the Hamiltonian.

**Time Evolution**

* `unitary_matrix()` returns the unitary time evolution operator at a given time.

* `mixing_matrix()` returns the mixing matrix at a given time.

**Average Evolution**

* `avg_matrix()` returns the average mixing matrix.

* `gavg_matrix()` returns the generalized average mixing matrix under a probability distribution.

## Installation

You can install the stable version of `qwalkr` from CRAN:

```{r, eval=FALSE}

install.packages("qwalkr")

```

For the development version, you can install from Github like so:

```{r, eval=FALSE}

# install.packages("devtools")

devtools::install_github("vitormarquesr/qwalkr")

```

## Usage

```{r}

library(qwalkr)

K3 <- rbind(c(0, 1, 1),

            c(1, 0, 1),

            c(1, 1, 0))

w <- ctqwalk(hamiltonian = K3)

w

get_eigproj(w, id=2)

unitary_matrix(w, t=pi/3)

mixing_matrix(w, t=pi/3)

avg_matrix(w)

```

## Getting Help

For further reference on the usability, check the vignette or the website of the package.

If you happen to encounter a bug, please file an issue on GitHub.