Related papers: Optimal Bell inequalities for qubit-qudit systems

Optimal Bell inequalities for qubit-qudit systems

URL: http://arxiv.org/abs/2404.02092v2
Date: Fri, 19 Apr 2024 15:58:54 GMT
Title: Optimal Bell inequalities for qubit-qudit systems
Authors: Alexander Bernal, J. Alberto Casas, Jesus M. Moreno,
Abstract summary: We evaluate the maximal Bell violation for a generic qubit-qudit system, obtaining easily computable expressions in arbitrary qudit dimension. We also give simple lower and upper bounds on that violation and study the possibility of improving the amount of Bell-violation by embedding the qudit Hilbert space in one of larger dimension.
Score: 44.99833362998488
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We evaluate the maximal Bell violation for a generic qubit-qudit system, obtaining easily computable expressions in arbitrary qudit dimension. This work generalizes the well-known Horodeckis's result for a qubit-qubit system. We also give simple lower and upper bounds on that violation and study the possibility of improving the amount of Bell-violation by embedding the qudit Hilbert space in one of larger dimension. The results are illustrated with a family of density matrices in the context of a qubit-qutrit system.

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