In quantum field theory, particles are excitations of their respective quantum fields. These quantum fields permeate all of spacetime and are interconnected. However, it's important to note that the interaction between particles and gravity is distinct from their interactions through the quantum field.
Gravity is described by general relativity, which is a theory of spacetime curvature caused by mass and energy. It is a classical theory and not explicitly formulated within the framework of quantum field theory. Currently, there is no complete and widely accepted theory that successfully combines general relativity and quantum field theory into a single unified theory known as "quantum gravity."
In our current understanding, the gravitational force acts on particles based on their mass and energy content, rather than their specific quantum state. All particles with mass or energy, regardless of their state, are subject to the gravitational force. This includes particles that are in the same state or are entangled with each other.
However, it is worth noting that the precise details of how gravity and quantum field theory interact at a fundamental level remain an active area of research. Quantum gravity theories and approaches, such as string theory or loop quantum gravity, aim to reconcile general relativity and quantum mechanics, but a definitive resolution has not yet been achieved.
In summary, particles in the same state or entangled with each other can still be affected by gravity because gravity acts on mass and energy, irrespective of their quantum states. The exact nature of the interplay between gravity and quantum fields is still an open question in physics, and ongoing research seeks to provide a comprehensive understanding of this relationship.