A Mathematica Quantum simulator for hybrid qubit -qutrit systems

QDENSITY\footnote{Bruno Julia-Diaz, Joseph M. Burdis and Frank Tabakin, Computer Physics Communications 174 (2006) 914} is a Mathematica quantum computation simulator. QCWAVE\footnote{Frank Tabakin, Bruno Julia-Diaz, Computer Physics Communications 182 (2011) 1603} not only updated QDENSITY's treatment of states and operators and included amplitude displays, circuit diagram drawing and Dirac notation features, but also invoked the parallel processing capabilities of Mathematica 8.0 to simulate errors and error correction. Parallel versions of QCWAVE run simultaneously with random errors introduced on some of the processors, with an ensemble average used to represent the real world situation. Within this approach, error correction steps can be simulated and their efficacy tested. This capability allows one to examine the detrimental effects of errors and the benefits of error correction on particular quantum algorithms. Now there is an addition to the codes ``QDENSITY'' and ``QCWAVE,'' called BTSystem\footnote{BTSystem is available at http://www.pitt.edu/$\sim$tabakin/QDENSITY/}, which includes hybrids of binary (B) qubit and triplet(T)qutrit systems. Formation of BT states, density matrices, gates and partial traces are among the many features of BTSystem.