Year: 2024
Type: article
Abstract: One way to explore multiparticle entanglement is to ask for maximal entanglement with respect to different bipartitions, leading to the notion of absolutely maximally entangled states or perfect tensors. A different path uses unitary invariance and symmetries, resulting in the concept of multiparticle singlet states. We show that these two concepts are incompatible in the sense that the space of pure multiparticle singlet states does not contain any state for which all partitions of two particles vs the rest are maximally entangled. This puts restrictions on the construction of quantum codes and contributes to discussions in the context of the anti-de Sitter/conformal field theory correspondence and quantum gravity.
Source: Journal of Mathematical Physics
DOI: 10.1063/5.0159105
Authors: Fabian Bernards, Otfried Gühne
Institution: University of Siegen
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Awards: Verbundprojekt: Quantennetzwerke: Korrelationen und Kommunikation - QuKuK -, Teilvorhaben: Netzwerkstrukturen und Quantenzustände, Charakterisierung hochdimensionaler Verschränkung und Kohärenz, G2627917216, G3017367642, G3663324400, G3882652674, G411582974, G5468585985, G6437869225, G7071182864, G7237488554, Aspekte des Quantum Steerings
OpenAlex ID: W4391177594