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. The previous version of this program (ADXH_v3_0) may be found at http://dx.doi.org/10.1016/j.cpc.2011.04.010.

针对Mathematica 9至10.3版本，我们更新了Mathematica量子计算机模拟包QDENSITY与QCWAVE。本文对全新的QDensity、QCWave、BTSystem及Circuits系列包进行了综述，涵盖以下内容：（1）优化了量子态与密度矩阵（density matrix）的张量积（tensor product）处理流程；（2）对配套BTSystem包进行了大幅扩展，新增了三态量子比特（qutrit，即三重态）、量子比特（qubit，二进制）以及混合量子比特/三态量子比特系统的支持；（3）更新了示例量子计算算法；（4）涵盖量子纠缠（entanglement）相关研究，包括施密特分解（Schmidt decomposition）、熵（entropy）、互信息（mutual information）、部分转置（partial transposition）以及量子失谐（quantum discord）的计算。此外还包含贝尔定理（Bell’s theorem）与并发度（concurrence）的相关示例。本次更新有望为量子计算（Quantum Computation，QC）动力学研究提供助力。该程序的旧版本（ADXH_v3_0）可通过链接 http://dx.doi.org/10.1016/j.cpc.2011.04.010 获取。