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Quantum teleportation is a protocol that allows for the transmission of quantum information from one location to another, without physically sending the quantum state itself. However, it's important to note that quantum teleportation doesn't involve the actual teleportation of physical objects or matter. It's a process that transfers the quantum state of a system from one location to another.

In quantum teleportation, the quantum state of a qubit is transferred using entanglement and classical communication. The protocol itself doesn't have a limitation on the size of the quantum state being teleported. It can be used to teleport the quantum state of a single qubit or a composite system of multiple qubits.

The key aspect of quantum teleportation is that it transfers the exact quantum state of the system, regardless of its size or complexity. However, the successful teleportation of larger quantum states can become more challenging due to the increased susceptibility to noise and errors.

It's worth noting that practical implementations of quantum teleportation are subject to limitations and constraints imposed by the current state of technology and experimental capabilities. At present, quantum teleportation has been demonstrated for qubits, ions, and other small-scale systems. As technology advances, researchers may explore more complex systems for teleportation, but there are practical challenges to be addressed as the size and complexity increase.

In summary, there is no inherent theoretical limitation on the size of the quantum state that can be teleported using quantum teleportation. However, the practical implementation and success rate may be influenced by the size and complexity of the quantum state, as well as current technological constraints.

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