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Scientific article
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English

Enabling computation of correlation bounds for finite-dimensional quantum systems via symmetrisation

Published inPhysical Review Letters, vol. 122, no. 070501
Publication date2019
Abstract

We present a technique for reducing the computational requirements by several orders of magnitude in the evaluation of semidefinite relaxations for bounding the set of quantum correlations arising from finite-dimensional Hilbert spaces. The technique, which we make publicly available through a user-friendly software package, relies on the exploitation of symmetries present in the optimisation problem to reduce the number of variables and the block sizes in semidefinite relaxations. It is widely applicable in problems encountered in quantum information theory and enables computations that were previously too demanding. We demonstrate its advantages and general applicability in several physical problems. In particular, we use it to robustly certify the non-projectiveness of high-dimensional measurements in a black-box scenario based on self-tests of $d$-dimensional symmetric informationally complete POVMs.

Classification
  • arxiv : quant-ph
NoteA. T. and D. R. contributed equally for this project
Citation (ISO format)
TAVAKOLI, Armin, ROSSET, Denis, RENOU, Marc-Olivier. Enabling computation of correlation bounds for finite-dimensional quantum systems via symmetrisation. In: Physical Review Letters, 2019, vol. 122, n° 070501. doi: 10.1103/PhysRevLett.122.070501
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Technical informations

Creation10/21/2019 10:53:00 AM
First validation10/21/2019 10:53:00 AM
Update time03/15/2023 6:13:03 PM
Status update03/15/2023 6:13:02 PM
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