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Computational self-testing for entangled magic states

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arxiv 2111.02700 v2 pith:BKTY5FZD submitted 2021-11-04 quant-ph

Computational self-testing for entangled magic states

classification quant-ph
keywords statesquantummagiccomputationaldevicegatenon-stabilizerprotocol
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Device-Independent Self-Testing of the Three-Qubit CCZ Hypergraph State

    quant-ph 2026-07 accept novelty 6.0

    The CCZ hypergraph state and its Pauli measurements can be device-independently self-tested from twenty correlators, and also from maximal violation of a specially constructed Bell inequality.