1. Quantum State (a) Entanglement Prove that a|00) + B 11) for a, B +0 is an entangled state, i.e., it cannot be written as the tensor product of two separate qubits. (b) Inner product Compute the inner product of +/+) and a00) + B|11). (c) Outer product Let (41) = a00) + 11). Write down the matrix of 6) (Ul. (d) Tensor product Let 4) = 20)+b|1) and (6) = c/0/+d1). Show the state of 6) ) in the computational basis i.e., represent ) ) in {|00), 01), 10), (11)}) and the corresponding vector