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Quantum Mechanics, Quantum Computation, And The Density Operator In Sympy, Addison Cugini
Quantum Mechanics, Quantum Computation, And The Density Operator In Sympy, Addison Cugini
Physics
Because aspects of quantum mechanics are both difficult to understand and difficult algebraically, there is a need for software which symbolically simulates quantum mechanical phenomena. To accomplish this goal, code has been added to an open-source computer algebra system, called SymPy, which models the abstraction of Dirac notation and the density operator. Additionally, a quantum computer simulation has been built using this abstraction. This paper shall discuss the code that has been added as well as any relevant physics important to understanding the code. In particular, we shall focus on the density operator of statistical quantum mechanics using SymPy's density …
Symbolic Quantum Circuit Simplification In Sympy, Matthew Curry
Symbolic Quantum Circuit Simplification In Sympy, Matthew Curry
Physics
In the field of quantum information science, one can design a series of quantum logic operations known as a circuit. Circuits are the basis for quantum computations in quantum computing. As circuits will most likely be designed from a logical standpoint, there could exist mathematical redundancies which will lead to a larger circuit than necessary. These redundancies are computationally expensive, and there is a need for them to be found and eliminated to simplify the circuit. We present our research on finding the rules for simplifying circuits and its implementation in SymPy.