Certifying nonlocality from separable marginals

Certifying Data from Multiple Sources

Data integrity can be problematic when integrating and organizing information from many sources. In this paper we describe efficient mechanisms that enable a group of data owners to contribute data sets to an untrusted third-party publisher, who then answers users’ queries. Each owner gets a proof from the publisher that his data is properly represented, and each user gets a proof that the answ...

Nonlocality without nonlocality∗

Bell’s theorem is purported to demonstrate the impossibility of a nonlocal “hidden variable” theory underpinning quantum mechanics. It relies on the well-known assumption of ‘locality’, and also on a little-examined assumption called ‘statistical independence’ (SI). Violations of this assumption have variously been thought to suggest “backward causation”, a “conspiracy” on the part of nature, o...

Marginals Vs

Recently, Cohen has proposed a method for constructing joint distributions of arbitrary physical quantities, in direct generalization of joint time-frequency representations. In this paper, we investigate the covariance properties of this procedure and caution that in its present form it cannot generate all possible distributions. Using group theory, we extend Cohen's construction to a more gen...

Certifying algorithms

From Quantum Nonlocality to Mind-Brain Interaction

Orthodox Copenhagen quantum theory renounces the quest to understand the reality in which we are imbedded, and settles for practical rules that describe connections between our observations. However, an examination of certain nonlocal features of quantum theory suggests that the perceived need for this renunciation was due to the uncritical importation from classical physics of a crippling meta...