Berlin 2024 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 17: Quantum Information: Concept and Methods I

QI 17.6: Vortrag

Mittwoch, 20. März 2024, 10:45–11:00, HFT-TA 441

Graphical Calculus for Non-Gaussian Quantum States — •Lina Vandré^1,2, Boxuan Jing², Yu Xiang², Otfried Gühne¹, and Qiongyi He² — ¹University of Siegen — ²School of Physics, Peking Universit

Multipartite entangled states are an important resource for quantum computing, quantum communications, and quantum metrology. The multi-mode complex entangled quantum states prepared in experiments are classified into continuous variable (CV) and discrete variable (DV) systems according to the type of variables.

When analysing multiparticle entanglement, the exponentially increasing dimension of the Hilbert space is a challenging factor. It is a natural approach to consider specific families of states that enable a simple description and useful properties. Graph and hypergraph states form such families of multi-qubit quantum states, as they can be described by a graphical formalism. They have applications in various contexts, for example, measurement-based quantum computation or self-testing. The graphical formalism of graph and hypergraph states can be generalised to CV systems. While CV graph states are Gaussian, general hypergraph states are non-Gaussian. There are already several works about CV graph states, but there is very little exploration of CV hypergraph states.

In this talk, I introduce graphical rules for Gaussian operations applied to non-Gaussian hypergraph states. I show how these rules help to prepare complex non-Gaussian states as well as how the formalism can be used for characterizing non-Gaussian states.

Keywords: non-Gaussian states; graphical formalism; hypergaph states