Computing with Quantum Analogues

Recent progress in the design and realization of phononic structures has resulted in a number of quantum analogues.¹ Elastic waves in one-dimensional waveguides with broken time-reversal or parity symmetry obey Dirac-like equations and possess spin-like topology.² Of particular interest for quantum computing is the design, construction, and demonstration of coherent superpositions of elastic waves in waveguides and coupled waveguides.³ These coherent superpositions can be characterized by the phase of the elastic wavefunction and are called phase-bits or phi-bits. The construction of non-separable (i.e., ‘classically entangled’) superpositions has been achieved using phi-bits comprised of coupled waveguides.⁴ These phononic structures allows accessing quantum analogue computing at room temperatures and long coherence times.
¹ Sound Topology, Duality, Coherence, and Wave-Mixing: An Introduction to the New Science of Sound, by P. A. Deymier and K. Runge (Springer, 2017).
² P. A. Deymier and K. Runge, Crystals 6, 44 (2016).
³ L. Calderin, M. Arif Hasan, N. Jenkins, T. Lata, P. Lucas, K. Runge, and P. A. Deymier, Scientific Reports 9, 14156 (2019).
⁴ M. A. Hasan, L. Calderin, T. Lata, P. Lucas, K. Runge, and P. A. Deymier, Communications Physics 2, 106 (2019).