In a three-particle extension of Wheeler’s delayed choice gedanken experiment, the quantum statistics of two particles is undetermined until a third particle is measured. As a function of the measurement result, the particles behave either as bosons or as fermions. The particles are distinguishable if no measurement is performed at all or when the measurement is performed in a rotated basis. The scheme is based on Greenberger–Horne–Zeilinger quantum correlations. It can be interpreted more generally as the encryption of maximally entangled states in a larger quantum superposition. The local quantum information is scrambled but can be decoded by the measurement result of a control particle. This can be extended to multiple particles and allows to develop quantum information protocols whose successful implementation depends on the collaboration of all parties.

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加密的量子相关性：量子统计和其他应用程序的延迟选择

在Wheeler的延迟选择gedanken实验的三粒子扩展中，两个粒子的量子统计不确定，直到测量了第三个粒子为止。根据测量结果，颗粒表现为玻色子或费米子。如果根本不进行任何测量或以旋转为基础进行测量，则可以区分这些粒子。该方案基于Greenberger–Horne–Zeilinger量子相关性。可以将其更一般地解释为更大量子叠加中的最大纠缠态的加密。局部量子信息被加扰，但是可以通过控制粒子的测量结果来解码。