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Self-testing Dicke states

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arxiv 1707.01215 v1 pith:3OAQE7MK submitted 2017-07-05 quant-ph

classification quant-ph
keywords dickeidealphysicalstatestatescharacterizationcomparedconsidered
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We show that, upon the observation of a specific measurement statistic, Dicke states can be self-tested. Our work is based on a generalization of the protocol considered by Wu et al. [PRA 90 042339 (2014)], and constitutes a device-independent method for the characterization of a physical device. For realistic situations where experimental imperfections lead to a deviation from the ideal statistics, we give an estimate for the fidelity of the physical state compared to the ideal Dicke state.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. All pure multipartite entangled states of qubits can be self-tested up to complex conjugation

    quant-ph 2024-12 conditional novelty 8.0 of 10

    Every pure multipartite entangled state of qubits can be self-tested in the standard Bell scenario up to complex conjugation, using at most 9·2^{n−2}−4 two-outcome measurements per party.

  2. General framework for verifying pure quantum states in the adversarial scenario

    quant-ph 2019-09 accept novelty 8.0 of 10

    A general verification framework shows that pure quantum states can be certified against adversarial state preparation with at most a constant-factor overhead over nonadversarial verification.

  3. Genuine Multipartite Nonlocality for Arbitrary Input: Maximal Randomness Generation and Robust Self-Testing

    quant-ph 2026-06 unverdicted novelty 7.0 of 10

    New multipartite Bell inequality with analytical SOS decomposition for arbitrary odd inputs per party yields optimal quantum violation, self-testing, and m bits of global DI randomness.

  4. Symmetric quantum states: a review of recent progress

    quant-ph 2025-06 conditional novelty 1.0 of 10

    A comprehensive review of symmetric multipartite quantum states, covering their mathematical structure, entanglement and nonlocality, verification, metrology uses, quantum error correction, and experimental generation.

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