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A simple protocol for certifying graph states and applications in quantum networks

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arxiv 1801.05057 v1 pith:RZTDFL6X submitted 2018-01-15 quant-ph

classification quant-ph
keywords quantumgraphstatescertifyingnetworksprotocolsimpleapplications
verification ladder T0 review T1 audit T2 compute T3 formal

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We present a simple protocol for certifying graph states in quantum networks using stabiliser measurements. The certification statements can easily be applied to different protocols using graph states. We see for example how it can be used to for measurement based verified quantum compu- tation, certified sampling of random unitaries and quantum metrology and sharing quantum secrets over untrusted channels.

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Cited by 3 Pith papers

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

  1. 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.

  2. Efficient Verification of Pure Quantum States in the Adversarial Scenario

    quant-ph 2019-09 conditional novelty 8.0 of 10

    Adding trivial 'always pass' tests lets any pure quantum state be verified against an adversarial device with at most a constant-factor overhead over nonadversarial verification.

  3. Verifying a stabilizer state with few observables but many shots

    quant-ph 2024-12 conditional novelty 6.0 of 10

    A random-basis, minimum-of-means stabilizer certification protocol accepts good states and rejects bad states with error probabilities exponentially small in qubit number under a wide fidelity gap.

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