RTNI_light_web   Tweet

With RTNI_light one can integrate matrices symbolically with respect to Haar unitary matrices. RTNI_light is a light and user-friendly version of the program called RTNI, originally developed in the following paper:

M. Fukuda, R. Koenig, I.Nechita, "RTNI - A symbolic integrator for Haar-random tensor networks",
J. Phys. A: Math. Theor. 52 425303 (2019); BibTeX.

The programs of the above paper can be found at the GitHub page:
RTNI at GitHub.

On this website, one can use the web version of RTNI_light, but there are limitations:

The first condition is set for RTNI_light, and the second and third conditions are set to save computational resource of the server. One can download and customize the program placed at:
RTNI_light at GitHub

Besides, one can get the Weingarten functions for upto partitions of 20 as well.

I hope that there is no mistake in the program. :)

Note: Input data will not be stored or monitored on this webpage.

Integrating with respect to the Haar unitary.

An input is a sequence of two kinds of brackets and each bracket contains alphabets and some selected symbols (spaces will be ignored).

Some examples (you do not need "" for the input.): Note that those top-right symbols in AsciiMath: `T`, `-` and `**` are used in the output format, to represent transpose, complex conjugate and adjoint, respectively.

Getting Weingarten functions.

An input is a set of numbers separated by commas. For example,

where the input numbers are ordered automatically.