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Quantumness beyond entanglement: The case of symmetric states

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Grassl,  Markus
Quantumness, Tomography, Entanglement, and Codes, Leuchs Emeritus Group, Emeritus Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Leuchs,  Gerd
Leuchs Emeritus Group, Emeritus Groups, Max Planck Institute for the Science of Light, Max Planck Society;
Friedrich-Alexander-Universität Erlangen-Nürnberg, External Organizations;

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PhysRevA.105.022433.pdf
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Citation

Goldberg, A. Z., Grassl, M., Leuchs, G., & Sanchez-Soto, L. L. (2022). Quantumness beyond entanglement: The case of symmetric states. PHYSICAL REVIEW A, 105(2): 022433. doi:10.1103/PhysRevA.105.022433.


Cite as: https://hdl.handle.net/21.11116/0000-000F-8CCB-F
Abstract
Nowadays, it is accepted that truly quantum correlations can exist even in the absence of entanglement. For the case of symmetric states, a physically trivial unitary transformation can alter a state from entangled to separable, and vice versa. We propose to certify the presence of quantumness via an average of a state's bipartite entanglement properties over all physically relevant modal decompositions. We investigate extremal states for such a measure: SU(2)-coherent states possess the least quantumness, whereas the opposite extreme is inhabited by states with maximally spread Majorana constellations.