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September 3, 2026Advanced Quantum TechnologiesOpen Access

Multipartite k ‐Entanglement Measures and Coherence

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Authors

ZCZi‐Han ChenHZHui ZhaoSFShao-Ming Fei

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Overview

Theoretical analysis reveals enhanced multipartite k-entanglement measures constrained by local coherence in quantum systems, highlighting improved detection of genuine multipartite correlations.

Key Points

  • To establish a generalized mathematical framework for constructing multipartite k-entanglement measures and determine their operational relationship with local quantum coherence.
  • Constructed k-entanglement measures by combining bipartite and general k-nonseparable entanglement measures using arithmetic and geometric averaging schemes.
  • Conducted numerical evaluations comparing the proposed measures against k-ME concurrence, geometric mean concurrence, and generalized k-entanglement measures.
  • Formulated a genuine multipartite entanglement measure designed to characterize GHZ-W mixed states where the standard three-tangle vanishes.
  • New k-entanglement measures demonstrated superior analytical resolution and induced distinct entanglement orderings compared to existing metrics.
  • Analytical derivations confirmed that the persistence of k-entanglement is fundamentally bounded by the system's ability to maintain local quantum coherence.
  • The newly designed genuine multipartite entanglement measure eliminated detection blind spots in GHZ-W mixed states.

Cite This Study

Chen et al. (2026) studied this question.

synapsesocial.com/papers/6a9935a0636c6408cfa7e0c2https://doi.org/10.1002/qute.70438
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