Path Integrals over Entangled States

23.06.2017 14:15 – 15:00

Entanglement is fundamental to quantum mechanics. It is central to the EPR paradox and Bell’s inequality, and gives robust criteria to compress the description of quantum states. In contrast, the Feynman path
integral shows that quantum transition amplitudes can be calculated by summing sequences of states that are not entangled at all. This gives a clear picture of the emergence of classical physics through the
constructive interference between such sequences. Accounting for entanglement is trickier and require perturbative and non-perturbative expansions.
We combine these two powerful and complementary insights by constructing Feynman path integrals over sequences of states with a bounded degree of entanglement. I will discuss the physical insights that such a
construction affords, demonstrate its application to a couple of simple problems and discuss potential future applications.

Lieu

Bâtiment: Ecole de Physique

SALLE 234 - 2ÈME ÉTAGE - ECOLE DE PHYSIQUE
24, QUAI ERNEST-ANSERMET

entrée libre