In this question need to show that the 2-qubit are in the entangled state or not. We can perhaps apply the distributive property to solve the same.

For the last part, we need to use the SWAP gate to produce an entangled state (and make the example non-separable)

Please explain and answer. Thanks!

Problem 2-Two-qubit states a. Which, if any, of the following states are separable (also called product states)? 01) e10) We = (100) + 111) + 101) + 110)) /2 |vr) = (100)-[11)+101) + 110)) /2 Consider the SWAP gate, which swaps the state of two qubits. b. Write down this gate both in Dirac notation and in matrix form. c. Is there a separable state of two qubits that the SWAP can act on and produce an entangled state