No, it is not possible to swap the two qubits in an entangled state without breaking the entanglement. The process of swapping the qubits would require some form of interaction or operation that acts specifically on one qubit and then the other, which would disrupt the entanglement between them.
Entanglement is a delicate quantum property where the states of multiple particles become correlated in such a way that the overall state cannot be expressed as a simple combination of individual states. When qubits are entangled, their states are intrinsically linked, and any manipulation of one qubit will affect the state of the other qubit.
If you were to perform a swap operation on the entangled qubits, it would effectively disentangle them, breaking the correlation and destroying the entanglement. The act of swapping involves manipulating the individual qubits' states, which would introduce changes that destroy the entanglement.
In quantum computing, entangled qubits are used to perform certain operations and algorithms, and their entanglement is a valuable resource. Swapping qubits is a common operation in classical computing and can be used for reordering data, but in the quantum realm, swapping entangled qubits is not a viable operation without losing the entanglement.
However, it is worth noting that there are techniques and algorithms in quantum computing that can achieve operations that are equivalent to a controlled swap, allowing for indirect interactions between entangled qubits while preserving entanglement. These operations, such as CNOT gates, controlled-phase gates, or controlled-swap gates, enable the manipulation of entangled qubits while maintaining their entangled state.