IAS Physics Group Meeting

This group meeting will be presented in-person in Wolfensohn Hall at the IAS.

For contact-tracing purposes all off-campus attendees must register for this seminar: 
REGISTRATION FORM

All in-person attendees must be fully vaccinated and masks are required in all indoor spaces. Additionally, all off-campus attendees are required to upload proof of vaccination via the IAS CrowdPass App . 

Abstract: We consider a family of tensor network states defined on regular lattices that can be efficiently prepared with a quantum computer by adiabatic evolution. This family comprises relevant classes of states, such as injective Matrix Product and Projected Entangled-Pair States, and some corresponding to classical spin models. We show how uniform lower bounds to the gap of the parent Hamiltonian along the adiabatic trajectory can be efficiently computed using semi-definite programming. We also derive a set of observables whose expectation values can be easily determined and that form a complete set, in the sense that they uniquely characterize the state. We identify a subset of those observables which can be efficiently computed if one has access to the quantum state and local measurements, and analyze how they can be used in verification procedures.
Reference:
https://arxiv.org/abs/2105.06866