The concept you're referring to is similar to the idea of a field of particles or a quantum field. In quantum field theory, particles are described as excitations or quanta of their respective fields. For example, the electromagnetic field is associated with photons, and the electron field is associated with electrons.
Quantum entanglement is a phenomenon where two or more particles become correlated in such a way that the state of one particle cannot be described independently of the state of the other(s). This correlation persists even when the particles are separated by large distances. Entanglement is a fundamental aspect of quantum mechanics and has been experimentally observed.
In the context of quantum field theory, it is possible for particles that are part of the same field to become entangled with each other. For instance, if we have two electrons described by the electron field, their quantum states can become entangled. This means that measuring one electron will instantaneously affect the state of the other, regardless of the distance between them.
However, it's important to note that entanglement occurs between individual particles, not the entire quantum field itself. The field provides a framework in which the particles exist and interact, but entanglement is a property of specific particle states.
So, while particles connected to the same field can become entangled with each other, it's not accurate to say that the field as a whole is entangled with other fields or particles. Entanglement is a phenomenon that arises between individual particles and is not directly associated with the concept of fields themselves.