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We present a measurement of the strong-phase difference between $D^{0}$ and$\bar{D}^{0}\to K^{0}_{\rm S,L}K^{+}K^{-}$ decays, performed through a study ofquantum-entangled pairs of charm mesons. The measurement exploits a data sampleequivalent to an integrated luminosity of 2.93~fb$^{-1}$, collected by theBESIII detector in $e^{+}e^{-}$ collisions corresponding to the mass of the$\psi(3770)$ resonance. The strong-phase difference is an essential input tothe determination of the Cabibbo-Kobayashi-Maskawa (CKM) angle $\gamma/\phi_3$through the decay $B^{-}\to DK^{-}$, where $D$ can be either a $D^{0}$ or a$\bar{D}^{0}$ decaying to $K^{0}_{\rm S,L}K^{+}K^{-}$. This is the most precisemeasurement to date of the strong-phase difference in these decays.

Improved model-independent determination of the strong-phase difference between $D^{0}$ and $\bar{D}^{0}\to K^{0}_{\mathrm{S,L}}K^{+}K^{-}$ decays