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This paper presents a new classical simulation method using non-signaling polytopes to efficiently model universal measurement-based quantum computation, specifically addressing regimes where existing phase-space sampling algorithms fail. By defining the boundary of efficiently simulatable states through Bell scenarios, the work clarifies the precise role of non-stabilizer resources and entanglement in achieving quantum speedup.
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Classical simulation of universal measurement-based quantum computation using multipartite Bell scenarios

arXiv1 min read

arXiv:2410.23734v2 Announce Type: replace Abstract: We introduce a novel classical simulation algorithm based on non-signaling polytopes of multipartite Bell scenarios, capable of simulating universal measurement-based quantum computation with single-qubit Pauli measurements. In our model, the simultaneous presence of non-stabilizer states and entanglement is necessary for quantum speedup. The region of quantum states that can be efficiently simulated includes the Bell polytope and extends beyond the reach of current sampling algorithms based on phase-space methods.

Abstract:We introduce a novel classical simulation algorithm based on non-signaling polytopes of multipartite Bell scenarios, capable of simulating universal measurement-based quantum computation with single-qubit Pauli measurements. In our model, the simultaneous presence of non-stabilizer states and entanglement is necessary for quantum speedup. The region of quantum states that can be efficiently simulated includes the Bell polytope and extends beyond the reach of current sampling algorithms based on phase-space methods.

arXiv:2410.23734 [quant-ph]

(or arXiv:2410.23734v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2410.23734 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 158 words

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