Practical implementation of a scalable discrete Fourier transform using logical phi-bits: nonlinear acoustic qubit analogues

P. A. Deymier, K. Runge, M. A. Hasan, T. D. Lata, J. A. Levine

Research output: Contribution to journalArticlepeer-review

Abstract

It is shown that multiple logical phi-bit large-scale unitary operations analogous to quantum circuits can be realized by design. Logical phi-bits are nonlinear acoustic analogues of qubits which arise when elastic waveguides are coupled and driven at multiple frequencies in the presence of non-linearities. The contribution presents an approach that maps both the state of multiple phi-bits in their supporting nonlinear acoustic metastructure and their representations as complex state vectors in exponentially scaling Hilbert spaces. Upon physically actuating π changes in phi-bit phases and by engineering appropriate multiple phi-bits representations, one can realize a scalable phi-bit-based quantum Fourier transform.

Original languageEnglish (US)
JournalQuantum Studies: Mathematics and Foundations
DOIs
StateAccepted/In press - 2023

Keywords

  • Acoustic metastructure
  • Acoustic qubit analogues
  • Phi-bit-based quantum Fourier transform
  • Unitary operations

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics

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