Rostock 2019 – scientific programme

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SYAD: Symposium SAMOP Dissertation-Prize 2019

SYAD 1: SAMOP Dissertation-Prize

SYAD 1.1: Invited Talk

Tuesday, March 12, 2019, 10:30–11:00, U Audimax

Quantum States and their Marginals: from Multipartite Entanglement to Quantum Error-Correcting Codes — •Felix Huber — ICFO - The Institute of Photonic Sciences, Castelldefels (Barcelona), Spain

At the heart of quantum entanglement lies the relation between the whole and its parts, or in other words, the relation between a quantum state and its marginals. Despite decades of research and its importance in many-body physics and theoretical chemistry, an encompassing characterization of this relation continues to remain elusive.

In my talk, I will explore different aspects of the so-called quantum marginal problem: given parts of a quantum state, what can one infer about the joint state? I will show how this question not only connects to the topic of entanglement, but that it is also related to the existence of quantum error-correcting codes, to questions in graph theory, and to the characterization of thermal states of local Hamiltonians. In this context, constraints can be found that govern how quantum correlations can be shared among many particles. In turn, this restricts what types of entanglement could possibly exist, and also imposes limits upon information processing tasks such as quantum error correction.