Quantum Subgroup Reconstruction.pdf

HRT.stoc00.pdf
Preview of Quantum Subgroup Reconstruction
🔗 Source: cs.tau.ac.il
📊 Size: 814 KB
📄 Pages: 9 pages
⬇️ Downloads: 99

Summary

The Hidden Subgroup Problem is a foundation of many quantum algorithms, with an efficient solution known for Abelian groups, used in Simon's and Shor's algorithms. The non-Abelian case is open, but a natural generalization of the Abelian solution is analyzed, providing an efficient solution for normal subgroups. However, this generalization does not efficiently solve Graph Isomorphism, and it is shown that it cannot distinguish between a coset of a non-trivial subgroup and a coset of the trivial subgroup, even information theoretically, for the symmetric group.

Description

The Hidden Subgroup Problem is a foundation of many quantum algorithms, with an efficient solution known for Abelian groups, used in Simon's and Shor's...

Technical Information

  • File Format: PDF
  • File Size: 814 KB
  • Pages: 9
  • Language: EN
  • Total Downloads: 99
  • Last Updated: 3 weeks ago

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