Tighter Rényi- α entropy entanglement monogamy and polygamy relations of qubit systems
Abstract
Abstract The monogamy and polygamy relations characterize the distributions of quantum entanglement in multipartite systems. We investigate the monogamy relations related to the Rényi- α entanglement (R α E) and polygamy relations related to the R α E of assistance (R α EoA). We present new entanglement monogamy relations satisfied by the η -th ( η ≥ 2) power of R α E for α ≥ 2, and by the γ -th ( γ ≥ 4) power of R α E for 7 − 1 2 ≤ α < 2 , respectively. Moreover, we present polygamy relations satisfied by the t th power of R α EoA with 7 − 1 2 ≤ α < 13 − 1 2 for 0 ≤ t ≤ 1. We also give relationships among the residual entanglements of R α E and R α EoA, and the three tangle based on our general monogamy relations.
Fields of Study & Subjects
Quantum Information and Cryptography
Quantum many-body systems
Quantum Mechanics and Applications
Publication details
- Journal / source
- Communications in Theoretical Physics
- Volume
- 78
- Issue
- 6
- Pages
- 065102–065102
- Publication date
- 27 February 2026
- Language
- EN