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Aharonov–Jones–Landau algorithm

In computer science, the Aharonov–Jones–Landau (AJL) algorithm is an efficient quantum algorithm for obtaining an additive approximation of the Jones polynomial of a given link at an arbitrary root of unity. The algorithm was published in 2009 in a paper written by Dorit Aharonov, Vaughan Jones and Zeph Landau. The error in the additive approximation…

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Michael FreedmanAlexei KitaevMichael J. LarsenZhenghan WangTopological quantum computers
9 related topics

Path model representation of T L n ( d ) {\displaystyle TL_{n}(d)}

Vector spaceOrthonormal basisUnitary representationBraid group
4 related topics

Algorithm

Hadamard testRandom variableHoeffding bound
3 related topics

Markov trace

Temperley–Lieb algebraKauffman diagram
2 related topics

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Markov trace

Representing B n {\displaystyle B_{n}} in T L n ( d ) {\displaystyle TL_{n}(d)}

Path model representation of T L n ( d ) {\displaystyle TL_{n}(d)}

Quantum version of the path model representation

Algorithm

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Aharonov–Jones–Landau algorithm

Nodes40
Edges39
Triples0
Avg. degree1.95
Density0.05
Components1

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displaystyle jones algorithm polynomial trace markov tl representation link aharonov landau path quantum operator tr varphi problem approximation number diagram

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