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",
arXiv:1902.08539 [quant-ph].
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.

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.