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Moving an entangled particle without breaking the entanglement is a complex task. Entanglement is a phenomenon in quantum mechanics where two or more particles become correlated in such a way that their properties are intertwined, regardless of the distance between them. When particles are entangled, their quantum states are linked, and changing the state of one particle instantaneously affects the state of the other, regardless of the physical separation.

To move an entangled particle without breaking the entanglement, you would need to ensure that the entanglement remains intact throughout the process. This requires careful manipulation and control of the particle's environment to preserve the delicate quantum state.

One approach to moving an entangled particle is to use techniques such as quantum teleportation or quantum swapping. Quantum teleportation involves transferring the quantum state of one particle (the "sender" particle) onto another particle (the "receiver" particle) without physically moving the sender particle itself. This process relies on entanglement between the sender and receiver particles, as well as classical communication to complete the teleportation.

Quantum swapping, on the other hand, involves using an intermediary particle to transfer the entanglement between two entangled particles. The intermediary particle is entangled with both of the original entangled particles, allowing the entanglement to be "swapped" from one pair of particles to another. This technique enables the entangled particles to be moved independently while preserving their entangled state.

Both quantum teleportation and quantum swapping require sophisticated quantum protocols and precise control over the quantum systems involved. They rely on entanglement as a resource and leverage the principles of quantum superposition and measurement to achieve the desired outcomes.

It's important to note that practical implementations of these techniques are still an active area of research, and there are significant technical challenges to overcome. Manipulating and preserving entanglement is highly delicate and susceptible to environmental disturbances, which can lead to entanglement degradation or loss.

In summary, moving an entangled particle without breaking the entanglement is a challenging task that involves advanced quantum techniques such as quantum teleportation or quantum swapping. While these techniques hold promise, their practical implementation is still an ongoing area of research in the field of quantum physics.

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