Computational self-testing for entangled magic states

• URL: http://arxiv.org/abs/2111.02700v2
• Date: Mon, 25 Jul 2022 23:50:16 GMT
• Title: Computational self-testing for entangled magic states
• Authors: Akihiro Mizutani, Yuki Takeuchi, Ryo Hiromasa, Yusuke Aikawa, Seiichiro Tani
• Abstract summary: We show that a magic state for the CCZ gate can be self-tested while that for the T gate cannot. Our result is applicable to a proof of quantumness, where we can classically verify whether a quantum device generates a quantum state having non-zero magic.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In the seminal paper [Metger and Vidick, Quantum '21], they proposed a computational self-testing protocol for Bell states in a single quantum device. Their protocol relies on the fact that the target states are stabilizer states, and hence it is highly non-trivial to reveal whether the other class of quantum states, non-stabilizer states, can be self-tested within their framework. Among non-stabilizer states, magic states are indispensable resources for universal quantum computation. In this letter, we show that a magic state for the CCZ gate can be self-tested while that for the T gate cannot. Our result is applicable to a proof of quantumness, where we can classically verify whether a quantum device generates a quantum state having non-zero magic.

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