Transient logic operations in acoustics through dynamic modulation

TL;DR

This paper demonstrates how dynamic modulation in an electroacoustic system can implement quantum-like logic operations and topological phenomena using transient acoustic modes.

Contribution

It introduces a novel electroacoustic platform that enables precise control of phase and logic operations through dynamic modulation of hopping.

Findings

Experimental realization of Y, Z, and Hadamard gates

Implementation of non-Abelian braiding in acoustics

Versatile platform for topological and logic gate exploration

Abstract

In quantum logic operations, information is carried by the wavefunction rather than the energy distribution. Therefore, the relative phase is essential. Abelian and non-Abelian phases can be emulated in classical waves using passive coupled waveguides with geometric modulation. However, the dynamic phases interference induced by waveguide structure variation is inevitable.To overcome the challenges, we introduce an electroacoustic coupled system that enables the precise control of phase distribution through dynamic modulation of hopping. Such effective hopping is electronically controlled and is utilized to construct various paths in parameter space. These paths lead to state evolution with matrix-valued geometric phases, which correspond to logic operations. We report experimental realizations of several logic operations, including $Y$ gate, $Z$ gate, Hadamard gate and non-Abelian braiding. Our work introduces a temporal process to manipulate transient modes in a compact structure, providing a versatile experimental testbed for exploring other logic gates and exotic topological phenomena.