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Abstract: We investigate the strengths and limitations of the Spekkens toy model, whichis a local hidden variable model that replicates many important properties ofquantum dynamics. First, we present a set of five axioms that fully encapsulateSpekkens- toy model. We then test whether these axioms can be extended tocapture more quantum phenomena, by allowing operations on epistemic as well asontic states. We discover that the resulting group of operations is isomorphicto the projective extended Clifford Group for two qubits. This larger group ofoperations results in a physically unreasonable model; consequently, we claimthat a relaxed definition of valid operations in Spekkens- toy model cannotproduce an equivalence with the Clifford Group for two qubits. However, the newoperations do serve as tests for correlation in a two toy bit model, analogousto the well known Horodecki criterion for the separability of quantum states.

Autor: Michael Skotiniotis, Aidan Roy, Barry C. Sanders

Fuente: https://arxiv.org/

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