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the properties ) of a “black-box” function f(x

Simon’s algorithm determines the properties of a “black-box” function f(x), figuring out if a function is

on a control register and target register

Simon's Algorithm operates on a control register and target register, changing state like: $|\textbf{x}\rangle|\textbf{y}\rangle->|\textbf{x}\rangle|\textbf{y}\oplus f(...

the first example of a quantum algorithm exponentially faster than any classical algorithm

Simon's algorithm is the first example of a quantum algorithm exponentially faster than any classical algorithm, and has many applications in cryptanalysis.

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an efficient method for finding the relationship between the pairs: ) \(f(x

Simon's algorithm is an efficient method for finding the relationship between the pairs: \(f(x) =

to discover periodicity in functions

Simon's algorithm helps to discover periodicity in functions and does so exponentially faster than any classic algorithm.

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instructions for a computer

Simon’s algorithm, proposed by computer scientist Daniel Simon in 1994, provides instructions for a computer to determine whether a black box returns a distinct output for every possible input.

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where is the quantum state with zeros

Simon's algorithm starts with the input , where is the quantum state with zeros.

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The high-level idea behind Simon's algorithm

The high-level idea behind Simon's algorithm is to "probe" (or "sample") a quantum circuit (see the picture below) "enough times" to find (linearly independent) n-bit strings, that is

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in order to attack symmetric cryptosystems in this model

We study applications of a quantum procedure called Simon's algorithm (the simplest quantum period finding algorithm) in order to attack symmetric cryptosystems in this model.

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many applications in cryptanalysis

Simon's algorithm is the first example of a quantum algorithm exponentially faster than any classical algorithm, and has many applications in cryptanalysis.

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