## 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 language | English (US) |
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Journal | Quantum Studies: Mathematics and Foundations |

DOIs | |

State | Accepted/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