Pseudo-Secret Random Qubit Generator (PSQRG): Difference between revisions

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 *'''Squeezing.''' Client instructs Server to measure all the qubits of the control register in some basis chosen randomly by the Client, except the last one, and return to her the outcomes. The last unmeasured state contains the randomly prepared qubit hidden from the Server. Client can then compute the value of r by an equation (see [[Pseudo-Secret Random Qubit Generator (PSQRG)#Pseudo Code|Pseudo Code]]). This equation depends only on Client’s measurement basis angles, Server’s measurement outcome and the location of random X’s (unknown to the Server). Thus, the Client knows the state of her secret qubit prepared by the Server.
-==Notations==
-**<math>f_k</math>, function for target register
-**<math>t_k</math>, trapdoor for function <math>f_k</math>
-**<math>U_{f_k}</math>, Unitary operated on the target register taking first register as control, used to compute output of the function in the target register
-**y, measurement outcome of the target register
-**<math>x,x'</math>, pre-image pair for a given measurement outcome y
-**<math>x_i</math> value of qubit i for pre-image x
-**<math>x_i'</math> value of qubit i for pre-image x’
-**<math>\alpha_i</math>, Client’s measurement angles for qubit i in the control register
-**<math>b_i</math>, Server’s measurement outcome for qubit i in the control register
-**<math>\theta</math>, classical description of the hidden input state
 == Properties ==
 *<math>f_k</math>, the function with required properties as given below in point 4.