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Realizing permutation gates with phi-bits: Acoustic quantum analogue computing

delete2025-03-10
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OA
AI
D
David Cavalluzzi
A
Akinsanmi S. Ige *
K
Keith Runge
P
Pierre A. Deymier
DOI:10.1063/5.0241680delete
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Abstract

Abstract

En 中文
We present both the theoretical framework and experimental implementation of permutation gates using logical phi-bits, classical acoustic analogs of qubits. Logical phi-bits are nonlinear acoustic modes supported by externally driven acoustic metamaterials. Using a tensor product of modified Bloch sphere representations, we realize all possible two logical phi-bit permutations including SWAP and C-NOT. We also illustrate the scalability of a permutation for any number of logical phi-bits. Experimental demonstrations of these permutations require a single physical action on the driving conditions of the acoustic metamaterial. All logical phi-bits exist in the same physical system. We compare the phi-bit system with its quantum counterpart using Qiskit simulations, which illustrate the complexity of realizing these permutations in a quantum context.
Keywords:
ENTANGLEMENT

Journal

Journal of Applied Physics cover
Journal of Applied Physics
IF:
2.5
Papers:
2.6K
Citations:
14.5W

Organization

U
Univ Arizona
Scholars:
1.7K
Papers: 1.4K
Citations: 419