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9783639465686: Stabilizer mixed states: Quantum computation with classical computers

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The great physicist Feynman stated 1982 that classical computers are not capable to simulate quantum systems. A classical computer must keep track of a number of variables which grows exponentially with the dimension of the considered system. In the context of complexity theory this cannot be done with efficient effort. Even for the simulation of a few hundred atoms, the information to be stored would exceed the number of all atoms in the universe. Feynman concluded: "I therefore believe it is true that with a suitable class of quantum machines you could imitate any quantum system, including the physical world." However, among quantum mechanical states, the class of so-called stabilizer states overcomes the limitation on classical simulability provided their evolution consists exclusively of Clifford operations. This kind of dynamics can be represented by what is known the stabilizer formalism. Recently computer programs have been developed to simulate quantum systems within this formalism. Feynman would have been surely impressed if he had experienced this by himself. While usually stabilizer states are pure states and their properties well known, this thesis focuses on mixed-state versions obtainable by partial trace over a subsystem of a pure stabilizer state.

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Chriszandro Hofmeister
Publicado por AV Akademikerverlag, 2013
ISBN 10: 3639465687 ISBN 13: 9783639465686
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Chriszandro Hofmeister
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Chriszandro Hofmeister
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The great physicist Feynman stated 1982 that classical computers are not capable to simulate quantum systems. A classical computer must keep track of a number of variables which grows exponentially with the dimension of the considered system. In the context of complexity theory this cannot be done with efficient effort. Even for the simulation of a few hundred atoms, the information to be stored would exceed the number of all atoms in the universe. Feynman concluded: 'I therefore believe it is true that with a suitable class of quantum machines you could imitate any quantum system, including the physical world.' However, among quantum mechanical states, the class of so-called stabilizer states overcomes the limitation on classical simulability provided their evolution consists exclusively of Clifford operations. This kind of dynamics can be represented by what is known the stabilizer formalism. Recently computer programs have been developed to simulate quantum systems within this formalism. Feynman would have been surely impressed if he had experienced this by himself. While usually stabilizer states are pure states and their properties well known, this thesis focuses on mixed-state versions obtainable by partial trace over a subsystem of a pure stabilizer state. 96 pp. Englisch. Nº de ref. del artículo: 9783639465686

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Chriszandro Hofmeister
Publicado por AV Akademikerverlag, 2013
ISBN 10: 3639465687 ISBN 13: 9783639465686
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Chriszandro Hofmeister
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Hofmeister ChriszandroChriszandro Hofmeister had studied physical engineering at the University of Applied Sciences in Coburg. After his prediploma he took up physics at Friedrich-Alexander-University Erlangen-Nuernberg. He worked in . Nº de ref. del artículo: 20282140

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Chriszandro Hofmeister
Publicado por AV Akademikerverlag Mär 2015, 2015
ISBN 10: 3639465687 ISBN 13: 9783639465686
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Taschenbuch. Condición: Neu. Neuware -The great physicist Feynman stated 1982 that classical computers are not capable to simulate quantum systems. A classical computer must keep track of a number of variables which grows exponentially with the dimension of the considered system. In the context of complexity theory this cannot be done with efficient effort. Even for the simulation of a few hundred atoms, the information to be stored would exceed the number of all atoms in the universe. Feynman concluded: 'I therefore believe it is true that with a suitable class of quantum machines you could imitate any quantum system, including the physical world.' However, among quantum mechanical states, the class of so-called stabilizer states overcomes the limitation on classical simulability provided their evolution consists exclusively of Clifford operations. This kind of dynamics can be represented by what is known the stabilizer formalism. Recently computer programs have been developed to simulate quantum systems within this formalism. Feynman would have been surely impressed if he had experienced this by himself. While usually stabilizer states are pure states and their properties well known, this thesis focuses on mixed-state versions obtainable by partial trace over a subsystem of a pure stabilizer state.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 96 pp. Englisch. Nº de ref. del artículo: 9783639465686

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Chriszandro Hofmeister
Publicado por AV Akademikerverlag, 2013
ISBN 10: 3639465687 ISBN 13: 9783639465686
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Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The great physicist Feynman stated 1982 that classical computers are not capable to simulate quantum systems. A classical computer must keep track of a number of variables which grows exponentially with the dimension of the considered system. In the context of complexity theory this cannot be done with efficient effort. Even for the simulation of a few hundred atoms, the information to be stored would exceed the number of all atoms in the universe. Feynman concluded: 'I therefore believe it is true that with a suitable class of quantum machines you could imitate any quantum system, including the physical world.' However, among quantum mechanical states, the class of so-called stabilizer states overcomes the limitation on classical simulability provided their evolution consists exclusively of Clifford operations. This kind of dynamics can be represented by what is known the stabilizer formalism. Recently computer programs have been developed to simulate quantum systems within this formalism. Feynman would have been surely impressed if he had experienced this by himself. While usually stabilizer states are pure states and their properties well known, this thesis focuses on mixed-state versions obtainable by partial trace over a subsystem of a pure stabilizer state. Nº de ref. del artículo: 9783639465686

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