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arXiv · 2312.16433

Catalytic Transformation from Computationally Universal to Strictly Universal Measurement-Based Quantum Computation

Yuki Takeuchi
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Abstract

There are two types of universality in measurement-based quantum computation (MBQC): ${\it strict}$ and ${\it computational}$. It is well known that the former is stronger than the latter. We present a method of transforming from a certain type of computationally universal MBQC to a strictly universal one. Our method simply replaces a single qubit in a resource state with a Pauli-$Y$ eigenstate. We applied our method to show that hypergraph states can be made strictly universal with only Pauli measurements, while only computationally universal hypergraph states were known.

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Yuki Takeuchi. 2023-12-27. Catalytic Transformation from Computationally Universal to Strictly Universal Measurement-Based Quantum Computation. https://doi.org/10.1103/physrevlett.133.050601

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