QDENSITY/QCWAVE: A Mathematica quantum computer simulation update

The Mathematica quantum computer simulation packages QDENSITY and QCWAVE are updated for Mathematica 9-10.3. An overview is given of the new QDensity, QCWave, BTSystem and Circuits packages, which includes: (1) improved treatment of tensor products of states and density matrices, (2) major extension to include qutrit (triplet), as well as qubit (binary) and hybrid qubit/qutrit systems in the associated BTSystem package, (3) updated sample quantum computation algorithms, (4) entanglement studies, including Schmidt decomposition, entropy, mutual information, partial transposition, and calculation of the quantum discord. Examples of Bell’s theorem and concurrence are also included. This update will hopefully aid in studies of QC dynamics. Program title: QDensity, QCWave, BTSystem, Circuits Catalogue identifier: ADXH_v4_0 Program summary URL:http://cpc.cs.qub.ac.uk/summaries/ADXH_v4_0.html Program obtainable from: CPC Program Library, Queen’s University, Belfast, N. Ireland Licensing provisions: GNU General Public License, version 3 No. of lines in distributed program, including test data, etc.: 705731 No. of bytes in distributed program, including test data, etc.: 10394409 Distribution format: tar.gz Programming language: Mathematica 9.0-10.3.0. Computer: Any computer which supports Mathematica. Operating system: Any operating system that supports Mathematica. Classification: 4.15. Catalogue identifier of previous version: ADXH_v3_0 Journal reference of previous version: Comput. Phys. Comm. 182(2011)1693 Does the new version supersede the previous version?: Offers an updated and extended implementation. Nature of problem: Simulation of quantum algorithms, Qubit and Qutrit hybrid systems, entanglement criteria. Solution method: A Mathematica package containing commands to create and analyze quantum circuits is upgraded and extended. Mathematica tutorials and notebooks illustrate the capabilities of the packages and demonstrate quantum computation applications. Reasons for new version: Here the Mathematica (MM) packages QDensity, QCWave [1, 2, 3] are updated for MM 9-10.3. Other quantum computer simulators using a variety of languages, are described in [4]. The new QDENSITY, QCWAVE, BT-System packages include commands for entropy, Schmidt decomposition, partial transposition, quantum discord, mutual information, and circuit diagrams, not only for qubit systems but also for qutrit and hybrid qubit/qutrit systems. The full array of new commands are provided in th