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Physical Review Applied

Surface-Acoustic-Wave Computing of the Grover Quantum Search Algorithm with Metasurfaces

Chenwen Yang, Tuo Liu, Jie Zhu, Jie Ren, Hong Chen

Published Apr 26, 2021• 9 citations
Publisher

Abstract

Riding a different wave: This study shows that an acoustic metasurface can be a platform to implement airborne surface acoustic waves (SAWs) for analog computing based on a quantum algorithm. The authors' gradient-index acoustic system can be used to perform the Grover search algorithm, with quadratic speedup over classical searches. Such a SAW-based computing system would offer---in the foreseeable future---a flexible platform for analog simulation of quantum algorithms, which could find application in on-chip integrated acoustic and phononic devices.

DOI
10.1103/physrevapplied.15.044040

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Riding a different wave: This study shows that an acoustic metasurface can be a platform to implement airborne surface acoustic waves (SAWs) for analog computing based on a quantum algorithm. The authors' gradient-index acoustic system can be used to perform the Grover search algorithm, with quadratic speedup over classical searches. Such a SAW-based computing system would offer---in the foreseeable future---a flexible platform for analog simulation of quantum algorithms, which could find application in on-chip integrated acoustic and phononic devices.
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Exploiting multiple modes in a quantum acoustic device could enable applications in quantum information in a hardware-efficient setup, including quantum simulation in a synthetic dimension and continuous-variable quantum computing with cluster states.We develop a multimode surface acoustic wave (SAW) resonator with a superconducting quantum interference device (SQUID) integrated in one of the Bragg reflectors.The interaction with the SQUID-shunted mirror gives rise to coupling between the more than 20 accessible resonator modes.We exploit this coupling to demonstrate two-mode squeezing of SAW phonons, as well as four-mode multipartite entanglement.Our results open avenues for continuous-variable quantum computing in a compact hybrid quantum system.
Abstract The experimental investigation of quantum devices incorporating mechanical resonators has opened up new frontiers in the study of quantum mechanics at a macroscopic level. It has recently been shown that surface acoustic waves (SAWs) can be piezoelectrically coupled to superconducting qubits, and confined in high-quality Fabry–Perot cavities in the quantum regime. Here we present measurements of a device in which a superconducting qubit is coupled to a SAW cavity, realising a surface acoustic version of cavity quantum electrodynamics. We use measurements of the AC Stark shift between the two systems to determine the coupling strength, which is in agreement with a theoretical model. This quantum acoustodynamics architecture may be used to develop new quantum acoustic devices in which quantum information is stored in trapped on-chip acoustic wavepackets, and manipulated in ways that are impossible with purely electromagnetic signals, due to the 10 5 times slower mechanical waves.
We propose a universal, on-chip quantum transducer based on surface acoustic waves in piezoactive materials.Because of the intrinsic piezoelectric (and/or magnetostrictive) properties of the material, our approach provides a universal platform capable of coherently linking a broad array of qubits, including quantum dots, trapped ions, nitrogen-vacancy centers, or superconducting qubits.The quantized modes of surface acoustic waves lie in the gigahertz range and can be strongly confined close to the surface in phononic cavities and guided in acoustic waveguides.We show that this type of surface acoustic excitation can be utilized efficiently as a quantum bus, serving as an on-chip, mechanical cavity-QED equivalent of microwave photons and enabling long-range coupling of a wide range of qubits.