Collective Operations Can Exponentially Enhance Quantum State Verification

• URL: http://arxiv.org/abs/2201.01782v2
• Date: Tue, 18 Oct 2022 09:21:51 GMT
• Title: Collective Operations Can Exponentially Enhance Quantum State Verification
• Authors: Jorge Miguel-Ramiro, Ferran Riera-S\`abat and Wolfgang D\"ur
• Abstract summary: We introduce strategies for the efficient, local verification of ensembles of Bell pairs. The number of entangled pairs that need to be measured and hence destroyed is significantly reduced. We show that our tools can be extended to other problems and larger classes of multipartite states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Maximally entangled states are a key resource in many quantum communication and computation tasks, and their certification is a crucial element to guarantee the desired functionality. We introduce collective strategies for the efficient, local verification of ensembles of Bell pairs that make use of an initial information and noise transfer to few copies prior to their measurement. In this way the number of entangled pairs that need to be measured and hence destroyed is significantly reduced as compared to previous, even optimal, approaches that operate on individual copies. Moreover the remaining states are directly certified. We show that our tools can be extended to other problems and larger classes of multipartite states.

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