Quantum computing is used to solve complex computational problems. This solutions are based on addition, therefore addition is so often performed by a computer, although it is a simple to compute task, it is questioned whether a quantum computer can perform addition faster than its classical counterpart. The finding of this paper is: Classical and Quantum addition are both linear in performance. Quantum computation can be more efficient through a paradigm shift based on the quantum phenomena of state discrimination/distinguishability to computer with a higher number base.
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Finite state adder, Computational complexity, Quantum computing.