Links and quantum entanglement

Solomon, Allan and Ho, Choon-Lin (2010). Links and quantum entanglement. In: Conference on Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity, 24-26 Feb 2010, Singapore.

DOI: https://doi.org/10.1142/9789814335614_0070

Abstract

We discuss the analogy between topological entanglement and quantum entanglement, particularly for tripartite quantum systems.We illustrate our approach by first discussing two clearly (topologically) inequivalent systems of three-ring links: The Borromean rings, in which the removal of any one link leaves the remaining two non-linked (or, by analogy, non-entangled); and an inequivalent system (which we call the NUS link) for which the removal of any one link leaves the remaining two linked (or, entangled in our analogy).We introduce unitary representations for the appropriate Braid Group (B3) which produce the related quantum entangled systems. We finally remark that these two quantum systems, which clearly possess inequivalent entanglement properties, are locally unitarily equivalent.

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About

  • Item ORO ID
  • 30375
  • Item Type
  • Conference or Workshop Item
  • Extra Information
  • The Conference on Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity was held in honour of Professor Murray Gell-Mann's 80th birthday in Singapore on 24–26 February 2010. The conference paid tribute to Professor Gell-Mann's great achievements in the elementary particle physics.

    Proceedings of the Conference in Honour of Murray Gell-Mann's 80th Birthday
    Quantum Mechanics, Elementary Particles, Quantum Cosmology and Complexity
    edited by H. Fritzsch, K.K. Phua, B.E. Baaquie, A.H. Chan, N.-P. Chang, S.A. Cheong, L.C. Kwek, C.H. Oh
  • Keywords
  • quantum entanglement; braid groups; topological links
  • Academic Unit or School
  • Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences
    Faculty of Science, Technology, Engineering and Mathematics (STEM)
  • Copyright Holders
  • © 2010 World Scientific Publishing Co
  • Related URLs
  • Depositing User
  • Allan Solomon

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