SAMOP 2023 – scientific programme

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QI: Fachverband Quanteninformation

QI 25: Quantum Entanglement II

QI 25.2: Talk

Thursday, March 9, 2023, 11:15–11:30, B302

Highly entangled graph states — •Zahra Raissi — Department of Physics, Virginia Tech, Blacksburg, VA 24061, USA

Multipartite entanglement is at the very heart of quantum information theory. Among all possible entangled states, k-uniform and absolutely maximally entangled (AME) states, have attracted much attention for a wide range of tasks such as measurement-based quantum computing, quantum networking and quantum error correction. Moreover, many efforts have also focused on showing if the relevant sets of states are also graph states.

The connection between classical codes and k-uniform states has been shown to provide a systematic method of constructing a large set of k-uniform states. In our work, we first show that a much larger class of k-uniform states can be obtained by starting from the graph state representation and asking what is the most general form of the adjacency matrix that is consistent with k-uniformity? With this, we uncover a large class of graph states that are maximally multipartite entangled. At least some of these are inequivalent under stochastic-local-operations and classical communication.

In the second part of our work, we propose and analyze deterministic protocols to generate them. We propose and evaluate deterministic methods to generate multi-photon qudit graph states from multi-level quantum emitters. We present several different explicit protocols that can produce various states either using a single emitter together with time-delayed feedback, or using multiple coupled quantum emitters.