No, in the context of quantum entanglement, it is not possible for one particle in an entangled pair to have more information than the other. Quantum entanglement is a phenomenon where two or more particles become correlated in such a way that the state of one particle is dependent on the state of the others, regardless of the physical distance between them.
When particles are entangled, their properties are described by a joint quantum state. However, the information contained within this joint state cannot be accessed by observing just one particle in isolation. Instead, the information is distributed among the entangled particles as a whole.
The nature of entanglement is such that the measurement of one particle's property instantaneously affects the state of the other particle, even if they are spatially separated. This phenomenon is often referred to as "spooky action at a distance" and has been experimentally verified in various setups.
Quantum mechanics allows for correlations between entangled particles that cannot be explained by classical physics. However, it is important to note that these correlations do not enable the transfer of classical information faster than the speed of light. The outcomes of measurements on entangled particles are probabilistic and do not convey instant communication or information transfer between the particles.
Therefore, while entangled particles exhibit correlations that go beyond classical physics, the information contained within an entangled system is distributed among the particles collectively, and no individual particle can possess more information than the others in the entangled pair.