Dear all,
We are excited to have Peter Zoller and Christian Kokail for the second Special Quantum
Computing seminar today at Jefferson Hall 250. The talk will start at 3:30 pm.
Title - Exploring Large-Scale Entanglement in Quantum Simulation
Abstract - Entanglement is a distinguishing feature of quantum many-body systems, and
uncovering the entanglement structure for large particle numbers in quantum simulation
experiments is a fundamental challenge in quantum information science. Here we perform
experimental investigations of entanglement based on the entanglement Hamiltonian, as an
effective description of the reduced density operator for large subsystems. We prepare
ground and excited states of a 1D XXZ Heisenberg chain on a 51-ion programmable quantum
simulator and perform sample-efficient `learning' of the entanglement Hamiltonian for
subsystems of up to 20 lattice sites. Our experiments provide compelling evidence for a
local structure of the entanglement Hamiltonian. This observation marks the first instance
of confirming the fundamental predictions of quantum field theory by Bisognano and
Wichmann, adapted to lattice models that represent correlated quantum matter. The reduced
state takes the form of a Gibbs ensemble, with a spatially-varying temperature profile as
a signature of entanglement. Our results also show the transition from area to volume-law
scaling of Von Neumann entanglement entropies from ground to excited states. As we venture
towards achieving quantum advantage, we anticipate that our findings and methods have
wide-ranging applicability to revealing and understanding entanglement in many-body
problems with local interactions including higher spatial dimensions.
Hope to see you all there.
Sincerely,
Jordan Cotler
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