Skip to main content

The Weak Generalized Bunching Conjecture

Date & Time

November 13, 2024, 1:00pm

Where to Attend

ATL 3100A

Zoom

Speaker

Shawn Geller NIST

Event Type

QuICS Special Seminar

Abstract: There has been interest in the dynamics of noninteracting bosons because of the boson sampling problem. These dynamics can be difficult to predict because of the complicated interference patterns that arise due to their indistinguishability. However, if there are unobserved, hidden degrees of freedom, the indistinguishability can be disrupted in the observations. The generalized bunching probability is defined to be the probability that noninteracting bosons undergo linear optical evolution and all arrive in a subset of sites. The strong generalized bunching conjecture states that among models where the hidden state of the bosons is separable, the generalized bunching probability is maximized when the bosons are perfectly indistinguishable. This conjecture was shown to be false [Seron, et. al., (2023)]. We show that among models where the hidden state is permutation invariant, the generalized bunching probability is maximized by perfectly indistinguishable bosons if and only if Lieb’s permanental dominance conjecture for immanants is true. We discuss applications of this conjecture to measuring the temperature of bosons trapped in an optical lattice.

https://umd.zoom.us/j/92021171629?pwd=eZwubd5vdenSQK0Et1zOSpPYg3OWP5.1

Meeting ID: 920 2117 1629
Passcode: 838611

Dial by your location
• +1 301 715 8592 US (Washington DC)

*We strongly encourage attendees to use their full name (and if possible, their UMD credentials) to join the zoom session.*