  Quantum theory reveals astonishing and counterintuitive phenomena not found
in classical physics, such as wave-particle duality, where entities like
electrons and photons exhibit both wave-like and particle-like behaviors. In
this paper, we leverage advancements in quantum information science to gain new
insights into this phenomenon. We specifically examine negative conditional
entropy in quantum entanglement, where the selection of the measurement basis
appears to ripple backward in time, akin to Dirac's model of an infinite sea of
negative energy states filled with electrons, where holes in this sea appear as
positrons. We propose that an observer's knowledge of the measurement choice,
analogous to a hole in the negative information sea, corresponds to the wave
aspect of the system, while the classical outcome aligns with its particle
nature. This exploration of the relationship between microscopic quantum
phenomena and macroscopic observations offers new perspectives on the
mind-matter duality.
