Initial State

Initial State Probability

Applied Transformation Probability

Applied Transformation and the Resultant State

Resultant

Probability

| $\psi$ $\rangle$ _h0

1/3

p

RA_h0| $\psi$ $\rangle$ _h0 = | $\psi$ $\rangle$ _AB

p/3

1 − p

RA_t01| $\psi$ $\rangle$ _h0 = | $\psi$ $\rangle$ _ABth

(1 − p)/3

| $\psi$ $\rangle$ _t01

2/3

p

RA_h0| $\psi$ $\rangle$ _t01 = | $\psi$ $\rangle$ _ABht

2p/3

1 − p

RA_t01| $\psi$ $\rangle$ _t01 = | $\psi$ $\rangle$ _AB

2 (1 − p)/3