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Journal of Mathematical Physics / Volume 52 / Issue 2 / ARTICLES / Quantum Mechanics (General and Nonrelativistic)

J. Math. Phys. 52, 022104 (2011); http://dx.doi.org/10.1063/1.3549586 (9 pages)

New class of 4-dim Kochen–Specker sets

Mladen Pavičić1,2, Norman D. Megill3, P. K. Aravind4, and Mordecai Waegell4

1Physics Department, Institute for Theoretical Atomic, Molecular, and Optical Physics, Harvard University and Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA
2University of Zagreb, Zagreb, Croatia
3Boston Information Group, 19 Locke Ln., Lexington, Massachusetts 02420, USA
4Physics Department, Worcester Polytechnic Institute, Worcester, Massachusetts 01609, USA

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(Received 15 October 2010; accepted 10 January 2011; published online 11 February 2011)

We find a new highly symmetrical and very numerous class (millions of nonisomorphic sets) of 4-dim Kochen–Specker (KS) vector sets. Due to the nature of their geometrical symmetries, they cannot be obtained from previously known ones. We generate the sets from a single set of 60 orthogonal spin vectors and 75 of their tetrads (which we obtained from the 600-cell) by means of our newly developed stripping technique. We also consider critical KS subsets and analyze their geometry. The algorithms and programs for the generation of our KS sets are presented.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. CRITICAL SETS
  3. ALGORITHMS
  4. DISCUSSION

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KEYWORDS and PACS

Keywords

quantum gates, quantum theory

PACS

  • 03.67.Lx

    Quantum computation architectures and implementations

  • 03.65.Ud

    Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3549586

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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