QI is a package for Mathematica computer algebra system, which implements number of functions used in the analysis of quantum states. In contrast to many available packages for symbolic and numerical simulation of quantum computation, the presented package is focused on geometrical aspects of quantum information theory.

Note: As of version 0.4.x some functions were moved to QIExtras.m, so most probably you will need to both packages. If you need to use an old (0.3.x) version of the package, contact us.

• Package QI version 0.4.36 (2012/02/04 18:08 40.6 KB).
• Package QIExtras 0.0.10 (2012/02/04 17:59 25.4 KB).

• List of QI functions sorted alphabetically (2012/02/04 18:09 146 KB)

• D. Girolami, G. Adesso, Interplay between computable measures of entanglement and other quantum correlations, Phys. Rev. A 84, 052110 (2011).
• K. Życzkowski, K.A. Penson, I. Nechita, B. Collins, Generating random density matrices, J. Math. Phys. 52, 062201 (2011), 1010.3570.
• A. Gilchrist, D.R. Terno, C.J. Wood, Vectorization of quantum operations and its use, 0911.2539.

If you are using QI package cite this page as

• J.A. Miszczak, Z. Puchała, P. Gawron, Quantum Information package for Mathematica, http://zksi.iitis.pl/wiki/projects:mathematica-qi (2010-).

or a paper

• J.A. Miszczak, Singular values decomposition and matrix reorderings in quantum information theory, Int. J. Mod. Phys. C, Vol. 22, No. 9 (2011), pp. 897-918, 1011.1585.

which contains a preliminary description of the package.

• Rafał Demkowicz-Dobrzański for his help with RandomUnitary.
• Wojtek Bruzda for his help with random operations.
• Fatih Özaydın, David Jennings, Silvestre Abruzzo, Karol Życzkowski, Bartek Gardas and Maciej Demianowicz for testing the package and suggesting improvements.

J.A. Miszczak, P. Gawron, Z. Puchała, IITiS PAN Gliwice

• If you have problems with QI package contact the authors at miszczak /at/ iitis /dot/ pl