07/24
2023
Seminar
- Title题目 Preparation and verification of tensor network states
- Speaker报告人 Jordi Tura i Brugués
- Date日期 2023年7月24日 15:00
- Venue地点 南楼6620
Abstract摘要
We consider a family of tensor network states defined on regular lattices that come with a natural definition of an adiabatic path to prepare them. 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. This allows one to check whether the adiabatic preparation can be performed efficiently with a scalable effort. 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.
个人简介：
Jordi Tura i Brugués studied Mathematics and Telecommunication Engineering at the Polytechnic University of Catalonia. He pursued a Ph.D. in Photonics at ICFO in Maciej Lewenstein’s group, and graduated with a thesis Characterizing entanglement and nonlocal correlations constrained by symmetry. As a postdoc he obtained a CELLEX-ICFO-MPQ, Marie Sklodowska-Curie and Alexander von Humboldt fellowships, and worked in the Theory Division of the Max Planck Institute of Quantum Optics, under the supervision of Ignacio Cirac. Since 2020 he is a tenure-track group leader at the Applied Quantum Algorithms group in Leiden University. In 2022 he was awarded an ERC Starting grant, the Young Scientist Prize of the AMOP Division of the European Physical Society and the Heineken Young Scientist Award.
邀请人：
石弢 研究员
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