Geometric interpretation of the CHSH inequality of nonmaximally entangled states
arXiv:2205.02674 · doi:10.1103/PhysRevA.104.032218
Abstract
We show that for pure and mixed states the problem of maximizing the correlation measure in the CHSH inequality reduces to maximizing the perimeter of a parallelogram enclosed by an ellipse characterized by the entanglement contained in the bipartite system. Since our geometrical description is also valid for a non-maximally entangled state we can determine the corresponding optimal measurements.
arXiv comment14 pages, 8 figures
References in corpus (10)
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Bell nonlocality
- Violation of Bell's inequality under strict Einstein locality conditions
- Significant-loophole-free test of Bell's theorem with entangled photons
- Random Numbers Certified by Bell's Theorem
- A strong loophole-free test of local realism
- Randomness vs Non Locality and Entanglement
- Estimating the privacy of quantum-random numbers