Eleanor G. Rieffel, Howard M. Wiseman
In their paper "Exact sampling and entanglement-free resources for measurement-based quantum computation," Hoban et al. [arXiv:1304.2667 (2013)] claim that states with no discord, and hence no entanglement, provide resource states for measurement-based quantum computation (MBQC), enabling efficient computations to be performed that cannot be performed efficiently classically. In this paper, we consider the issue of what should count as a resource for MBQC, and propose some minimal criteria. Using these criteria, we explain why the discord-free states introduced by Hoban et al. are not resource states for MBQC, and indeed why discord-free states could never be resources for MBQC.
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http://arxiv.org/abs/1307.1083
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