Non-stabilizerness and violations of CHSH inequalities
read the original abstract
We study quantitatively the interplay between entanglement and non-stabilizer resources in violating the CHSH inequalities. We show that, while non-stabilizer resources are necessary, they must have a specific structure, namely they need to be both asymmetric and (surprisingly) {\it local}. We employ stabilizer entropy (SE) to quantify the non-stabilizer resources involved and the probability of violation given the resources. We show how spectral quantities related to the flatness of entanglement spectrum and its relationship with non-local SE affect the CHSH inequality. Finally, we utilize these results - together with tools from representation theory - to construct a systematic way of building ensembles of states with higher probability of violation.
This paper has not been read by Pith yet.
Forward citations
Cited by 3 Pith papers
-
Non-Local Magic Resources for Fermionic Gaussian States
Closed-form formula computes non-local magic for fermionic Gaussian states from two-point correlations in polynomial time.
-
Magic Steady State Production: Non-Hermitian, Dissipative, and Stochastic Pathways
Non-Hermitian and dissipative dynamics engineer magic steady states in qubits that attract every initial state to high-magic targets.
-
A trace distance-based geometric analysis of the stabilizer polytope for few-qubit systems
Geometric study of non-stabilizerness in few-qubit systems via trace distance to the stabilizer polytope, with state sampling, measure comparisons, an analytical expression, facet classification, and a concentration b...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.