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Efficient Verification of Pure Quantum States in the Adversarial Scenario
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Efficient Verification of Pure Quantum States in the Adversarial Scenario
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Efficient verification of pure quantum states in the adversarial scenario is crucial to many applications in quantum information processing, such as blind measurement-based quantum computation and quantum networks. However, little is known about this topic so far. Here we establish a general framework for verifying pure quantum states in the adversarial scenario and clarify the resource cost. Moreover, we propose a simple and general recipe to constructing efficient verification protocols for the adversarial scenario from protocols for the nonadversarial scenario. With this recipe, arbitrary pure states can be verified in the adversarial scenario with almost the same efficiency as in the nonadversarial scenario. Many important quantum states can be verified in the adversarial scenario using local projective measurements with unprecedented high efficiencies.
Forward citations
Cited by 3 Pith papers
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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.
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The paper claims Clifford-enhanced product states can be certified with O(n^2/epsilon^2) Pauli measurements in the i.i.d. setting and polynomially many in the adversarial setting, but the central estimator is derived ...
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