Abstract
The possibility of achieving and controlling scalable classically entangled, i.e., inseparable, multipartite states, would fundamentally challenge the advantages of quantum systems in harnessing the power of complexity in information science. Here, we investigate experimentally the extent of classical entanglement in a 16 acoustic qubit-analogue platform. The acoustic qubit-analogue, a.k.a., logical phi-bit, results from the spectral partitioning of the nonlinear acoustic field of externally driven coupled waveguides. Each logical phi-bit is a two-level subsystem characterized by two independently measurable phases. The phi-bits are co-located within the same physical space enabling distance independent interactions. We chose a vector state representation of the 16-phi-bit system which lies in a {2}^{16}-dimensional Hilbert space. The calculation of the entropy of entanglement demonstrates the possibility of achieving inseparability of the vector state and of navigating the corresponding Hilbert space. This work suggests a new direction in harnessing the complexity of classical inseparability in information science.
Highlights
The possibility of achieving and controlling scalable classically entangled, i.e., inseparable, multipartite states, would fundamentally challenge the advantages of quantum systems in harnessing the power of complexity in information science
We have experimentally demonstrated classical entanglement, i.e., nonseparability, for acoustic logical phibits resulting from the partitioning in the spectral domain of the acoustic field of an externally driven array of three acoustic waveguides elastically coupled along their length
Multi phi-bit systems are analogous to qubit systems in the sense that their representation can be endowed with a tensor product structure scaling exponentially with the number, N, of bits
Summary
The possibility of achieving and controlling scalable classically entangled, i.e., inseparable, multipartite states, would fundamentally challenge the advantages of quantum systems in harnessing the power of complexity in information science. Considering two two-level degrees of freedom of the same classical wave, its four-dimensional product Hilbert space can contain superpositions of product states of the wave that are not algebraically separable into a single product. Notwithstanding distinguishing features between quantum and classical entanglement, the possibility of preparing and controlling exponentially complex nonseparable nonlinear superpositions of acoustic waves may offer an alternative to genuine quantum systems to realize. To illustrate classical entanglement and our ability to navigate a substantial portion of the large Hilbert space, we make use of the entropy of entanglement of various partitioning of the multipartite phi-bit system
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