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<p>Concurrence as a crucial measure for quantifying the degree of entanglement of quantum states. Based on generalized symmetric measurements [J. Phys. A: Math. Theor. <b>57</b>, 355301 (2024)] and generalized equiangular measurements [J. Phys. A: Math. Theor. <b>57</b>, 355302 (2024)], some entanglement criteria via Schmidt number have been proposed for bipartite quantum states, and then a series of generalized lower bounds of concurrence have been put forward within bipartite quantum systems with subsystems of different dimensions, respectively. Notably, the proposed concurrence criteria can provide a unified theoretical framework for the quantification of entanglement under different measurement methods. Moreover, through detailed illustrative examples, it is demonstrated that our results has some advantages.</p>

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Estimating the Bounds of Concurrence via Generalized Symmetric Measurements

  • 期刊论文

  • 发表日期：

    2026年5月23日

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  • Yi Long,
  • Yu-shuang Song,
  • Fan Wu,
  • Liang Tang

摘要

Concurrence as a crucial measure for quantifying the degree of entanglement of quantum states. Based on generalized symmetric measurements [J. Phys. A: Math. Theor. 57, 355301 (2024)] and generalized equiangular measurements [J. Phys. A: Math. Theor. 57, 355302 (2024)], some entanglement criteria via Schmidt number have been proposed for bipartite quantum states, and then a series of generalized lower bounds of concurrence have been put forward within bipartite quantum systems with subsystems of different dimensions, respectively. Notably, the proposed concurrence criteria can provide a unified theoretical framework for the quantification of entanglement under different measurement methods. Moreover, through detailed illustrative examples, it is demonstrated that our results has some advantages.