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arXiv · 1403.1658

Highly-mixed measurement-based quantum computing and the one clean qubit model

Tomoyuki Morimae
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Abstract

We show that a highly-mixed state in terms of a large min-entropy is useless as a resource state for measurement-based quantum computation in the sense that if a classically efficiently verifiable problem is efficiently solved with such a highly-mixed measurement-based quantum computation then such a problem can also be classically efficiently solved. We derive a similar result also for the DQC1$_k$ model, which is a generalized version of the DQC1 model where $k$ output qubits are measured. We also show that the measurement-based quantum computing on a highly-mixed resource state in terms of the von Neumann entropy, and DQC1$_k$ model are useless in another sense that the mutual information between the computation results and inputs is very small.

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Tomoyuki Morimae. 2014-03-07. Highly-mixed measurement-based quantum computing and the one clean qubit model. https://arxiv.org/abs/1403.1658

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