Preparation and Verification of Tensor Network States
November 9th, 2021 FLAVIO BACCARI Max Planck Institute of Quantum Optics

In this talk I will introduce 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. I will show how uniform lower bounds to the gap of the parent Hamiltonian along the adiabatic trajectory can be efficiently computed using semi-definite programming. I will also present 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. I will 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.

Bio: Flavio Baccari received his PhD degree at the Institute of Photonic Sciences in Barcelona (Spain) and is currently a Alexander von Humboldt postdoctoral fellow at the Max Planck Institute of Quantum Optics in Munich (Germany). His research is currently focused in developing efficient methods to characterise the performances of near-term quantum computers and to identify relevant applications to benchmark them.

Tuesday, November 9, 2021, 15:00. Blue Lecture Room

Hosted by Prof Antonio Acín