W纠缠辅助下的熵测不准关系

Entropic uncertainty principle with W state-assisted

利用弱测量与反弱测量技术,研究了基于W纠缠辅助的熵测不准关系在振幅阻尼噪声下的演化行为.分别对单粒子和双粒子经历噪声的情况进行了模拟计算,发现弱测量与反弱测量技术对双粒子经历噪声的纠缠恢复优于单粒子噪声情况.在双粒子噪声情况下,2个不对易的力学量在同一个体系中的测不准量会明显减少,计算发现该测不准量与弱测量和反弱测量强度、阻尼衰减系数等因素有关.阻尼衰减系数在一定的范围内,弱测量与反弱测量技术有效地提高了W纠缠态抵御噪声的能力,本文给出了关于不确定量更紧的束缚.

By the weak quantum measurement and quantum measurement reversal,the entropic uncertainty principle with W state-assisted via amplitude-damping channel noise was studied and the situations of single-particle and two-particle via the noises respectively were calculated.The results show that the capability of entanglement recovery of two-particle through the noises was superior to that of single-particle by using of the technology of weak quantum measurement and it ws reversal.Furthermore,the uncertainties about the outcomes of two incompatible measurements on a particle would reduce obviously with the strengths of weak measurement and quantum measurement reversal,the damping rate etc..For a certain values of the damping rate,a lower bound on the uncertainties was put forward,which depends on the amount of entanglement between the particle and the quantum memory.