Mixed-State Entanglement from Local Randomized Measurements
Andreas ElbenCenter for Quantum Physics, University of Innsbruck, Innsbruck A-6020, AustriaRichard KuengInstitute for Integrated Circuits, Johannes Kepler University Linz, Altenbergerstrasse 69, 4040 Linz, AustriaHsin-Yuan HuangDepartment of Computing and Mathematical Sciences, Caltech, Pasadena, California 91125, USARick van BijnenCenter for Quantum Physics, University of Innsbruck, Innsbruck A-6020, AustriaChristian KokailCenter for Quantum Physics, University of Innsbruck, Innsbruck A-6020, AustriaMarcello DalmonteSISSA, via Bonomea 265, 34136 Trieste, ItalyPasquale CalabreseINFN, via Bonomea 265, 34136 Trieste, ItalyBarbara KrausInstitute for Theoretical Physics, University of Innsbruck, A6020 Innsbruck, AustriaJohn PreskillAWS Center for Quantum Computing, Pasadena, California 91125, USAP. ZollerCenter for Quantum Physics, University of Innsbruck, Innsbruck A-6020, AustriaBenoît VermerschCenter for Quantum Physics, University of Innsbruck, Innsbruck A-6020, Austria
2020en
ABI
Аннотация
We propose a method for detecting bipartite entanglement in a many-body mixed state based on estimating moments of the partially transposed density matrix. The estimates are obtained by performing local random measurements on the state, followed by postprocessing using the classical shadows framework. Our method can be applied to any quantum system with single-qubit control. We provide a detailed analysis of the required number of experimental runs, and demonstrate the protocol using existing experimental data [Brydges et al., Science 364, 260 (2019)SCIEAS0036-807510.1126/science.aau4963].
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