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4 Results Found

  • Article
  • Open Access
1 Citations
6,913 Views
25 Pages

18 March 2022

The “ER = EPR” conjecture, conceived by Maldacena and Susskind, is grounded on the notion that a gravitational theory in the bulk is dual to the corresponding quantum field theory on the boundary in accordance to the AdS/CFT correspondenc...

  • Article
  • Open Access
3 Citations
4,977 Views
20 Pages

29 August 2016

The existence of singularities alerts that one of the highest priorities of a centennial perspective on general relativity should be a careful re-thinking of the validity domain of Einstein’s field equations. We address the problem of constructing di...

  • Article
  • Open Access
12 Citations
6,850 Views
15 Pages

Universal Quantum Computing and Three-Manifolds

  • Michel Planat,
  • Raymond Aschheim,
  • Marcelo M. Amaral and
  • Klee Irwin

19 December 2018

A single qubit may be represented on the Bloch sphere or similarly on the 3-sphere S 3 . Our goal is to dress this correspondence by converting the language of universal quantum computing (UQC) to that of 3-manifolds. A magic state and the Pau...

  • Article
  • Open Access
4 Citations
4,967 Views
10 Pages

Fricke Topological Qubits

  • Michel Planat,
  • David Chester,
  • Marcelo M. Amaral and
  • Klee Irwin

14 November 2022

We recently proposed that topological quantum computing might be based on SL(2,C) representations of the fundamental group π1(S3\K) for the complement of a link K in the three-sphere. The restriction to links whose associated SL(2,C) character var...