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Collision problem

The r-to-1 collision problem is an important theoretical problem in complexity theory, quantum computing, and computational mathematics. The collision problem most often refers to the 2-to-1 version: given n {\displaystyle n} even and a function f : { 1 , … , n } → { 1 , … , n } {\displaystyle f:\,\{1,\ldots ,n\}\rightarrow \{1,\ldots ,n\}} , we are…

Classical solutions, Quantum solution & Overview

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Pigeonhole principleBirthday paradox
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Quantum solution

BHT algorithmGrover's algorithm
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Overview

Complexity theoryQuantum computingComputational mathematics1-to-1
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Collision problem

Nodes12
Edges11
Triples1
Avg. degree1.83
Density0.166667
Components1

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Collision problem

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is a · 1
Collision problem → important theoretical problem in complexity theory

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queries displaystyle problem collision 1-to-1 2-to-1 function textstyle frac r-to-1 ldots make quantum version distinct important theoretical complexity theory computing

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SubjectPredicateObjectConfidenceSrc
Collision problemis aimportant theoretical problem in complexity theory0.90text

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