Abstract We present a model of an externally driven acoustic metamaterial constituted of a nonlinear parallel array of coupled acoustic waveguides that supports logical phibits, classical analogues of quantum bits (qubit). Descriptions of correlated multiple phibit systems emphasize the importance of representations of phibit and multiple phibit vector states within the context of their corresponding Hilbert space. Experimental data are used to demonstrate the realization of the single phibit Hadamard gate and the phase shift gate. A three phibit system is also used to illustrate the development of multiple phibit gates as well as a simple quantumlike algorithm. These demonstrations set the stage for the implementation of a digital quantum analogue computing platform based on acoustic metamaterial that can implement quantumlike gates and may offer promise as an efficient platform for the simulation of materials.
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This content will become publicly available on December 24, 2024
Practical implementation of a scalable discrete Fourier transform using logical phibits: nonlinear acoustic qubit analogues
It is shown that multiple logical phibit largescale unitary operations analogous to quantum circuits can be realized by design. Logical phibits are nonlinear acoustic analogues of qubits which arise when elastic waveguides are coupled and driven at multiple frequencies in the presence of nonlinearities. The contribution presents an approach that maps both the state of multiple phibits in their supporting nonlinear acoustic metastructure and their representations as complex state vectors in exponentially scaling Hilbert spaces. Upon physically actuating π changes in phibit phases and by engineering appropriate multiple phibits representations, one can realize a scalable phibitbased quantum Fourier transform.
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 NSFPAR ID:
 10520128
 Publisher / Repository:
 Birkhäuser/Chapman University
 Date Published:
 Journal Name:
 Quantum Studies: Mathematics and Foundations
 Volume:
 11
 Issue:
 2
 ISSN:
 21965609
 Page Range / eLocation ID:
 217 to 229
 Subject(s) / Keyword(s):
 Acoustic qubit analogues, Phibitbased quantum Fourier transform, Acoustic metastructure, Unitary operations
 Format(s):
 Medium: X Other: pdf
 Sponsoring Org:
 National Science Foundation
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