Monogamy, entanglement and deep hidden variables

Add to your list(s) Download to your calendar using vCal

• Michael Seevinck (Utrecht)
• Thursday 12 February 2009, 14:00-15:00
• MR11, Centre for Mathematical Sciences.

If you have a question about this talk, please contact Lawrence Ioannou.

Despite over 40 years of research on Bell-type inequalities, the question of non-locality and entanglement, new technical results that have general foundational relevance can still be obtained. In this talk I will present a number of new results that deal with the question of how to discern local, quantum and no-signaling correlations.

I will first introduce some technical results that deal with novel quantum inequalities that strengthen the Tsirelson inequalities and non-trivial no-signaling inequalities that discern no-signaling correlations from general correlations. The latter have striking similarity with the well-known CHSH inequality, yet they are crucially different.

Next I will show interesting relationships that exist between inferences on the surface and subsurface level of a hidden variable theory. Here the surface level deals with experimentally accessible probabilities (e.g., via relative frequencies) and the sub-surface level deals with probabilities that are conditioned on a hidden-variable (or the quantum state). The most interesting such a relationship is the following: any deterministic hidden-variable theory that obeys no- signaling and gives non-local correlations must show randomness at the surface, i.e., the surface probabilities cannot be deterministic. This is the case in Bohmian mechanics but this result shows it to be generic.

Lastly, I intend to discuss monogamy and its relevance to foundations of quantum mechanics. It has been known for a while that entanglement is monogamous, i.e., it can not be shared freely. I will extend the discussion to the shareability and monogamy aspects, not just of entanglement, but also of correlations. It turns out that certain non-local quantum correlations cannot be freely shared, i.e. they are monogamous as well. This raises the question of how shareability (monogamy) of non-local correlations and shareability (monogamy) of quantum entanglement are related. I will show that they are related in a non-trivial, subtle way. This allows for a new – and hopefully illuminating- interpretation of the Bell theorem. This discussion will be extended from quantum correlations to monogamy aspects of more general correlations such as no-signaling and partially local correlations.

This talk is part of the CQIF Seminar series.

This talk is included in these lists:

• All CMS events
• CMS Events
• CQIF Seminar
• DAMTP info aggregator
• Hanchen DaDaDash
• Interested Talks
• MR11, Centre for Mathematical Sciences
• bld31

Note that ex-directory lists are not shown.