Maximally nonlocal subspaces

A nonlocal subspace ##IMG## [http://ej.iop.org/images/1751-8121/52/9/095302/aab0046ieqn001.gif] is a
subspace within the Hilbert space ##IMG##
[http://ej.iop.org/images/1751-8121/52/9/095302/aab0046ieqn002.gif] of a multi-particle system such
that every state ##IMG## [http://ej.iop.org/images/1751-8121/52/9/095302/aab0046ieqn003.gif]
violates a given Bell inequality ##IMG##
[http://ej.iop.org/images/1751-8121/52/9/095302/aab0046ieqn004.gif] . Subspace ##IMG##
[http://ej.iop.org/images/1751-8121/52/9/095302/aab0046ieqn005.gif] is maximally nonlocal if each
such state ##IMG## [http://ej.iop.org/images/1751-8121/52/9/095302/aab0046ieqn006.gif] violates
##IMG## [http://ej.iop.org/images/1751-8121/52/9/095302/aab0046ieqn007.gif] to its algebraic
maximum. We propose ways by which states with a stabilizer structure...

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