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The capacity of hybrid quantum memory

Lundi, 15 Novembre, 2010 - 14:30
Prénom de l'orateur : 
Greg
Nom de l'orateur : 
Kuperberg
Résumé : 

It is a basic but fundamental result that all forms of perfect
classical memory, traditionally measured in bits, are equivalent except
for total capacity. There is also a restricted quantum version of this
question: Finite-dimensional Hilbert spaces are also all equivalent except
for their dimension. However, there is also a mutual generalization of this
question if one considers in any finite quantum system, the information
that is left after noise has been applied for an infinite amount of time.
I will argue that a general system of this type can be modeled by a
finite-dimensional C^*-algebra with both quantum and classical features.
The total capacity of this type of hybrid quantum memory is no longer
a scalar. The question of when one such memory is larger than another
has an interesting answer in terms of bin packing and $p$-norms.

Institution de l'orateur : 
No information
Thème de recherche : 
Physique mathématique
Salle : 
1 tour Irma
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