From: Andrea Oldofredi <andreaol...@gmail.com>
Analyses of entanglement in both physics and philosophy have almost exclusively focused on quantum correlations between spatially separated systems, e.g. experimental violations of Bell’s inequalities. Of course such experiments, occurring as they do within spacetime, suggest there is a temporal component to quantum correlations. While it is difficult to imagine what temporal entanglement might signify, this phenomenon clearly deserves careful scrutiny. The most work done to date along these lines concerns the Leggett-Garg inequalities, which are often touted as the “temporal analogue to Bell”. Recent critical studies convincingly argue that Leggett-Garg tests fail as such, and anyway the focus of this literature is decidedly not temporal entanglement.
In this talk I hope to shine some light on this neglected aspect of quantum physics first by considering general features of entanglement, then applying these to various measures of quantum correlations across time in order to motivate a particular definition of temporal entanglement. Next I examine the growing literature on indefinite causal structure in quantum systems, and argue that these proposals -- apart from what they may or may not indicate regarding cause -- do seem to involve temporal non-locality.
Dr. Andrea
Oldofredi