On the universal embedding of the near-hexagon forU 4(3)

1995 ◽  
Vol 56 (1) ◽  
pp. 7-17 ◽  
Author(s):  
Matthew Kirby Bardoe
Keyword(s):  
Universal Embedding ◽  
Near Hexagon

scholarly journals Fully abstract compilation via universal embedding

2016 ◽  
Vol 51 (9) ◽  
pp. 103-116 ◽  
Author(s):  
Max S. New ◽  
William J. Bowman ◽  
Amal Ahmed
Keyword(s):  
Universal Embedding

scholarly journals THE SET OF QUANTUM CORRELATIONS IS NOT CLOSED

2019 ◽  
Vol 7 ◽  
Author(s):  
WILLIAM SLOFSTRA
Keyword(s):  
Hilbert Space ◽  
Linear System ◽  
Tensor Product ◽  
Quantum Correlations ◽  
Embedding Theorem ◽  
Product Strategy ◽  
Finite Dimensional ◽  
Universal Embedding ◽  
Quantum Strategies ◽  
Finite Dimensional Hilbert Space

We construct a linear system nonlocal game which can be played perfectly using a limit of finite-dimensional quantum strategies, but which cannot be played perfectly on any finite-dimensional Hilbert space, or even with any tensor-product strategy. In particular, this shows that the set of (tensor-product) quantum correlations is not closed. The constructed nonlocal game provides another counterexample to the ‘middle’ Tsirelson problem, with a shorter proof than our previous paper (though at the loss of the universal embedding theorem). We also show that it is undecidable to determine if a linear system game can be played perfectly with a finite-dimensional strategy, or a limit of finite-dimensional quantum strategies.

scholarly journals The Hyperplanes of the U 4(3) Near Hexagon

2010 ◽  
Vol 26 (5) ◽  
pp. 647-671 ◽  
Author(s):  
Bart De Bruyn ◽  
Sergey Shpectorov
Keyword(s):  
Near Hexagon

scholarly journals The uniqueness of the near hexagon on 729 points

COMBINATORICA ◽  
1982 ◽  
Vol 2 (4) ◽  
pp. 333-340 ◽  
Author(s):  
A. E. Brouwer
Keyword(s):  
Near Hexagon

scholarly journals A thin near hexagon with 50 points

2003 ◽  
Vol 102 (2) ◽  
pp. 293-308 ◽  
Author(s):  
Rieuwert Blok ◽  
Bart De Bruyn ◽  
Ulrich Meierfankenfeld
Keyword(s):  
Near Hexagon
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