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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 06:47, 11 July 2019
, 11 July 2019→Definitions (informal)
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*''Two-regular'' A deterministic function <math>\{f_k : D \rightarrow R\}_{k\epsilon \{0,1\}}</math> is two-regular if <math>\forall y \epsilon Im(f)</math>, we have <math>|f^{-1}(y)| = 2</math> | *''Two-regular'' A deterministic function <math>\{f_k : D \rightarrow R\}_{k\epsilon \{0,1\}}</math> is two-regular if <math>\forall y \epsilon Im(f)</math>, we have <math>|f^{-1}(y)| = 2</math> | ||
*''Trapdoor Function'' A family of functions <math>\{f_k : D \rightarrow R\}_{k\epsilon \{0,1\}}</math> is a trapdoor function if there exists a QPT algorithm Gen which on input <math>1^n</math> outputs <math>(k,t_k)</math>, where k represents the index of a function, <math>\{f_k : D \rightarrow R\}_{k\epsilon \{0,1\}}</math>, where <math>f_k</math> is a one-way function, then there exists a QPT algorithm Inv, which on inputs <math>t_k</math> (which is called the trapdoor information) which was output by Gen(<math>1^n</math>), and <math>y = f_k(x)</math> can invert y (by returning all pre-images of y with non-negligible probability over the choice of <math>(k,t_k)</math> and uniform choice of x. | *''Trapdoor Function'' A family of functions <math>\{f_k : D \rightarrow R\}_{k\epsilon \{0,1\}}</math> is a trapdoor function if there exists a QPT algorithm Gen which on input <math>1^n</math> outputs <math>(k,t_k)</math>, where k represents the index of a function, <math>\{f_k : D \rightarrow R\}_{k\epsilon \{0,1\}}</math>, where <math>f_k</math> is a one-way function, then there exists a QPT algorithm Inv, which on inputs <math>t_k</math> (which is called the trapdoor information) which was output by Gen(<math>1^n</math>), and <math>y = f_k(x)</math> can invert y (by returning all pre-images of y with non-negligible probability over the choice of <math>(k,t_k)</math> and uniform choice of x. | ||
==Further Information== | |||
The above protocol coined the functionality of producing pseudo random qubits via a completely classical client, blind to the server that generated it. A verification of this protocol is still an open question. | |||
<div style='text-align: right;'>''*contributed by Shraddha Singh''</div> | <div style='text-align: right;'>''*contributed by Shraddha Singh''</div> | ||