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Pseudo-Secret Random Qubit Generator (PSQRG): Difference between revisions
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Pseudo-Secret Random Qubit Generator (PSQRG) (edit)
Revision as of 10:15, 17 October 2018
, 17 October 2018→Pseudo-Code
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==Pseudo-Code== | ==Pseudo-Code== | ||
*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 | |||
==='''Stage1''' Preimages superposition=== | ==='''Stage1''' Preimages superposition=== | ||
'''Requirements:''' | '''Requirements:''' | ||
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#Client: instructs the Server to measure all the qubits (except the last one) of the first register in the basis. Server obtains the outcomes b = (b1,··· ,bn−1) and returns the result b to the Client | #Client: instructs the Server to measure all the qubits (except the last one) of the first register in the basis. Server obtains the outcomes b = (b1,··· ,bn−1) and returns the result b to the Client | ||
#Client: using the trapdoor tk computes x,x0. Then check if the nth bit of x and x0 (corresponding to the y received in stage 1) are the same or different. If they are the same, returns abort, otherwise, obtains the classical description of the Server’s state. | #Client: using the trapdoor tk computes x,x0. Then check if the nth bit of x and x0 (corresponding to the y received in stage 1) are the same or different. If they are the same, returns abort, otherwise, obtains the classical description of the Server’s state. | ||
==Relevant Papers== | ==Relevant Papers== | ||