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'''<u>Stage 1</u>''' Ancilla preparation | '''<u>Stage 1</u>''' Ancilla preparation | ||
# Prepare an orthonormal set of states such as <math>\{|A_k\rangle\}</math> where <math>\langle A_k|A_l\rangle = \delta_{kl}</math> for <math>k,l= 0,1,...,n</math>. These states act as ancillary states of the protocol. </br></br> | # Prepare an orthonormal set of states such as <math>\{|A_k\rangle\}</math> where <math>\langle A_k|A_l\rangle = \delta_{kl}</math> for <math>k,l= 0,1,...,n</math>. These states act as ancillary states of the protocol. </br></br> | ||
'''<u>Stage 2</u>''' Unitary Evolution</br> | '''<u>Stage 2</u>''' Unitary Evolution</br></br> | ||
'''Input:''' <math>|\psi_i\rangle</math>, <math>|0\rangle</math>, <math>|A\rangle</math></br> | '''Input:''' <math>|\psi_i\rangle</math>, <math>|0\rangle</math>, <math>|A\rangle</math></br> | ||
'''Output:''' <math>U|\psi_i\rangle|0\rangle|A\rangle</math> | '''Output:''' <math>U|\psi_i\rangle|0\rangle|A\rangle</math> |