Entanglement Example - Super Dense Coding

• Alice and Bob start with two qubits in state |00> with random global phase.

• After performing H1, then CX10, Bob takes qubit #0 and goes away.

  E is the qubit entanglement measure.

       q: (0.0849528,0.996385) (0,0) (0,0) (0,0)
       E: 0 0
      H1: (0.0600707,0.704551) (0,0) (0.0600707,0.704551) (0,0)
       E: 0 0
    CX10: (0.0600707,0.704551) (0,0) (0,0) (0.0600707,0.704551)
       E: 1 1
  

• Later, to communicate the value 3, Alice performs X1, then Z1, then sends qubit #1 to Bob.

      X1: (0,0) (0.0600707,0.704551) (0.0600707,0.704551) (0,0)
       E: 1 1
      Z1: (0,0) (0.0600707,0.704551) (-0.0600707,-0.704551) (0,0)
       E: 1 1
  

• Bob then performs CX10, then H1, then measures.

    CX10: (0,0) (0.0600707,0.704551) (0,0) (-0.0600707,-0.704551)
       E: 0 0
      H1: (0,0) (0,0) (0,0) (0.0849528,0.996385)
       E: 0 0
     P(3) = 1