We present QSystem, an open-source platform for the simulation of quantum circuits focused on bitwise operations on a Hashmap data structure storing quantum states and gates. QSystem is implemented in C++ and delivered as a Python module, taking advantage of the C++ performance and the Python dynamism. The simulators API is designed to be simple and intuitive, thus streamlining the simulation of a quantum circuit in Python. The current release has three distinct ways to represent the quantum state: vector, matrix, and the proposed bitwise. The latter constitutes our main results and is a new way to store and manipulate both states and operations which shows an exponential advantage with the amount of superposition in the systems state. We benchmark the bitwise representation against other simulators, namely Qiskit, Forest SDK QVM, and Cirq.