UNIGE document Scientific Article
previous document  unige:36688  next document
add to browser collection
Title

Grothendieck’s constant and local models for noisy entangled quantum states

Authors
Toner, Benjamin
Published in Physical Review. A. 2006, vol. 73, no. 6, p. 062105
Abstract We relate the nonlocal properties of noisy entangled states to Grothendieck’s constant, a mathematical constant appearing in Banach space theory. For two-qubit Werner states ρWp=p∣ψ−⟩⟨ψ−∣+(1−p)1/4, we show that there is a local model for projective measurements if and only if p⩽1/KG(3), where KG(3) is Grothendieck’s constant of order 3. Known bounds on KG(3) prove the existence of this model at least for p≲0.66, quite close to the current region of Bell violation, p∼0.71. We generalize this result to arbitrary quantum states.
Identifiers
Full text
Structures
Citation
(ISO format)
ACIN, Antonio, GISIN, Nicolas, TONER, Benjamin. Grothendieck’s constant and local models for noisy entangled quantum states. In: Physical Review. A, 2006, vol. 73, n° 6, p. 062105. https://archive-ouverte.unige.ch/unige:36688

233 hits

66 downloads

Update

Deposited on : 2014-05-19

Export document
Format :
Citation style :