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"Quantum supremacy" revisited: Low-complexity, deterministic solutions of the Deutsch-Jozsa problem in classical physical systems

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posted on 2022-10-17, 23:30 authored by Laszlo KishLaszlo Kish

 The Deutsch-Jozsa problem is for a database of size N, where, according to their claim, the deterministic solution of the problem on a classical Turing computer requires O(N) computational complexity. They produced the famous Deutsch-Jozsa quantum algorithm that offered an exponential speedup over the envisioned classical computer, namely O[log(N)] complexity in a quantum computer. In the present paper, the Deutsch-Jozsa problem is implemented by two different algorithms on a Turing machine. It is shown that, similarly to the quantum algorithm, the Deutsch-Jozsa problem can deterministically be solved with O[log(N)] complexity on a classical computer with these algorithms.  


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Texas A&M University, College Station

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  • United States of America