Melt is a library for doing quantum things in Mathematica. Developed by Prof. Gabriel Landi and the QT2 group. 🇧🇷 🇺🇸

Overview

Melt provides a full set of functions for simulating open quantum systems, and performing quantum information tasks in Mathematica.

It also provides utility functions to better match Mathematica’s native functionality with the notations & practices used by quantum physicists.

Simple & easy-to-read

Melt is built on the philosophy that one should understand the underlying code. It is thus based on simple functions, laid out in a single, easy-to-read Mathematica notebook.

Numerics & Symbolics

Most functions are designed to seamlessly handle numerics or symbolic inputs. Simple problems, such as 1 or 2 qubits, can be handled symbolically. Complex many-body systems are handled numerically.

Built-in sparse array functionality

Melt works with standard matrices and vectors, making it more accessible and easier to understand. It also uses the built-in sparse-array functionality from Mathematica.

Useful features include:

• Easy functions for taking the partial trace, outer products, tensor products, etc.
• Information-theoretic quantities, such as von Neumann entropy, concurrence, fidelity, etc.
• Load spin chain matrices and fermionic/bosonic operators.
• Solution of Lindblad master equations using vectorization.
• Full counting statistics, 2-point correlation functions & power spectrum.
• Properties and algebra of Gaussian states.
• Quantum Metrology with qubits and Gaussian states.

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About

Philosophy

Installation

Mathematica’s native functionality

All functions

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Download

Melt is written as a single Mathematica notebook called melt.nb, containing all functions & documentation.

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melt.zip

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The zip also contains the file melt.m, which has only the function definitions.

To automatically load all functions in your Mathematica notebook, run:

Get["<http://www.fmt.if.usp.br/~gtlandi/download/melt.m>"]

Tutorials

Tutorials

Contact

For suggestions or bugs, contact Gabriel T. Landi at [email protected].

If you wish to submit your own tutorial, however simple, please do! Tutorials can be a single (commented) Mathematica notebook or a video.

Change log

Change log