Author(s)

  Sudha^1,2, Alevoor Raghavendra Usha Devi^2,3, Akshata Shenoy Hejamadi⁴, Hosapete Seshadri Karthik⁴, Humera Talath³, Bada Palaiah Govindaraja¹, Attipat Krishnaswamy Rajagopal²

¹Department of Physics, Kuvempu University, Shimoga, India.
²Inspire Institute Inc., Alexandria, Virginia, USA.
³Department of Physics, Bangalore University, Bangalore, India.
⁴International Centre for Theory of Quantum Technologies, University of Gdánsk, Gdánsk, Poland.

We explore the entanglement features of pure symmetric N-qubit states characterized by N-distinct spinors with a particular focus on the Greenberger-Horne-Zeilinger (GHZ) states and , an equal superposition of W and obverse W states. Along with a comparison of pairwise entanglement and monogamy properties, we explore the geometric information contained in them by constructing their canonical steering ellipsoids. We obtain the volume monogamy relations satisfied by states as a function of number of qubits and compare with the maximal monogamy property of GHZ states.

Permutation Symmetric States, Monogamy, Pairwise Entanglement

Sudha, Usha Devi, A.R., Hejamadi, A.S., Karthik, H.S., Talath, H., Govindaraja, B.P. and Rajagopal, A. K. (2024) Entanglement and Volume Monogamy Features of Permutation Symmetric N-Qubit Pure States with N-Distinct Spinors: GHZ and WW States. Journal of Quantum Information Science, 14, 29-51. https://doi.org/10.4236/jqis.2024.142003