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QI: Fachverband Quanteninformation

QI 20: Quantum Networks (joint session QI/Q)

QI 20.5: Vortrag

Mittwoch, 12. März 2025, 15:45–16:00, HS VIII

Graph states fidelity bound in networks with local operation and shared randomness — •Justus Neumann¹, Tulja Varun Kondra¹, Nikolai Wyderka¹, Kiara Hansenne², Lisa Weinbrenner², Hermann Kampermann¹, Otfried Gühne², and Dagmar Bruß¹ — ¹Heinrich-Heine-Uinversität Düsseldorf — ²Universität Siegen

We analyze quantum networks of spatially separated parties, where some parties are connected by quantum channels (links), enabling the distribution of pairwise entangled states. Additionally, each party has access to a shared classical random variable. Quantum states generated under these conditions are referred to as LOSR states (Local Operations and Shared Randomness). Characterizing this class of network states is often challenging, as determining whether a given state can be realized within a given network configuration is non-trivial. We derive an analytical upper bound on the fidelity of the set of LOSR states with any connected graph state, with particular emphasis on the GHZ state.

Keywords: multipartite entanglement