Simulating Quantum Processes using Classical Structures: This book explains how category theory can be used to explain various phenomena in the realm of quantum mechanics and quantum computer-science - Couverture souple

Bhushan, Manav

 
9783639345254: Simulating Quantum Processes using Classical Structures: This book explains how category theory can be used to explain various phenomena in the realm of quantum mechanics and quantum computer-science
Couverture souple
ISBN 10 : 3639345258 ISBN 13 : 9783639345254
Editeur : VDM Verlag Dr. Müller, 2011

Synopsis

In earlier work, it has been shown that Frobenius algebras with certain properties can be used to simulate classical data. They are especially useful because in their definition itself they incorporate the biggest difference between classical and quantum data- which is the absence of copying and deleting operations for arbitrary quantum states. In later work, it has been shown that a special, commutative, dagger-Frobenius algebra (classical structure) corresponds to an orthonormal basis for a finite- dimensional Hilbert Space. In this paper, we show how classical structures can be used to axiomatize maximally entangled states for two qubits. We then go on explain how this new representation of quantum informatic related protocols using classical structures can be used to encode the flow of quantum data. We explain how this process encodes all the possible observational branches simultaneously, and thus has the ability to tell us the end result that can be achieved in any particular protocol. We end with a summary of the results obtained, and suggestions for future work.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In earlier work, it has been shown that Frobenius algebras with certain properties can be used to simulate classical data. They are especially useful because in their definition itself they incorporate the biggest difference between classical and quantum data- which is the absence of copying and deleting operations for arbitrary quantum states. In later work, it has been shown that a special, commutative, dagger-Frobenius algebra (classical structure) corresponds to an orthonormal basis for a finite- dimensional Hilbert Space. In this paper, we show how classical structures can be used to axiomatize maximally entangled states for two qubits. We then go on explain how this new representation of quantum informatic related protocols using classical structures can be used to encode the flow of quantum data. We explain how this process encodes all the possible observational branches simultaneously, and thus has the ability to tell us the end result that can be achieved in any particular protocol. We end with a summary of the results obtained, and suggestions for future work.

Biographie de l'auteur

The author is currently pursuing a PhD at the Engineering Science department in Oxford University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2011
Langue
anglais
ISBN 10 
3639345258
ISBN 13 
9783639345254
Reliure
Broché
Nombre de pages
68
Coordonnées du fabricant
non disponible
Personne responsable
non disponible