August 28, 2022 to September 1, 2022
Serbian Academy of Sciences and Arts – SASA
Europe/Belgrade timezone

Steering witnesses for Gaussian quantum states

S09-TMCP-202
Aug 29, 2022, 6:00 PM
1h 30m
Restaurant (Serbian Academy of Sciences and Arts - SASA)

Restaurant

Serbian Academy of Sciences and Arts - SASA

Board: S09-TMCP-202
Poster presentation S09 Theoretical, Mathematical and Computational Physics Poster session

Speaker

Tatiana Mihaescu (Department of Theoretical Physics, National Institute of Physics & Nuclear Engineering, RO-077125 Bucharest-Magurele, Romania; Faculty of Physics, University of Bucharest, RO-077125 Bucharest-Magurele, Romania)

Description

We define and fully characterize the witnesses based on second moments detecting steering in Gaussian states by means of Gaussian measurements. All such tests, which arise from linear combination of variances or second moments of canonical operators, are easily implemented in experiments. We propose also a set of linear constraints characterizing steering witnesses. Given an unknown quantum state we implement a semidefinite program providing the optimal steering test with respect to the number of random measurements performed. We study the efficiency of steering detection for squeezed vacuum states and for general unknown covariance matrices. In addition, we discuss the robustness of this method to statistical errors.

Primary authors

Tatiana Mihaescu (Department of Theoretical Physics, National Institute of Physics & Nuclear Engineering, RO-077125 Bucharest-Magurele, Romania; Faculty of Physics, University of Bucharest, RO-077125 Bucharest-Magurele, Romania) Hermann Kampermann (Heinrich-Heine-University Düsseldorf, Institute of Theoretical Physics III, D-40225 Düsseldorf, Germany) Aurelian Isar (Department of Theoretical Physics, National Institute of Physics & Nuclear Engineering, RO-077125 Bucharest-Magurele, Romania; Faculty of Physics, University of Bucharest, RO-077125 Bucharest-Magurele, Romania) Dagmar Bruss (Heinrich-Heine-University Düsseldorf, Institute of Theoretical Physics III, D-40225 Düsseldorf, Germany)

Presentation materials

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