Implementation of Deutsch and Deutsch–Jozsa-like algorithms involving classical entanglement of elastic bits

Abstract

We present the implementation of two quantum-like algorithms which exploit classical entanglement (i.e., nonseparability) of elastic waves. The Deutsch–Jozsa-like​ algorithm can distinguish between the even or odd character of all possible binary functions for two elastic bits inputs. The Deutsch-like algorithm distinguishes between constant and balance binary functions also using two elastic bits. These algorithms can be implemented on simple elastic systems composed of a planar array of two finite one-dimensional discrete elastic waveguides mutually coupled periodically along their length and driven externally.