This Quantum Computing package, started during Wolfram Summer School 2017, enables the simulation of quantum circuits for qudit (generalized d-level quantum system). Using sparse arrays and lookup tables, this package efficiently stores quantum states, maintaining a unified structure for pure, mixed, and entangled quantum states…
The package features many methods for instantiating, combining, and modifying quantum states. Quantum circuits can be created from the fault-tolerant Clifford+T gate set, or a variety of other popular gates, or input as a unitary matrix. Also included are classically conditioned quantum operations and generalized positive operator valued (POVM) quantum measurements. A symbolic structure provides support for circuit concatenation and simplification, and minimizes the number of matrix multiplications the classical simulation must perform. In addition, quantum circuits can be automatically generated from input boolean functions.