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Studies in quantum control and quant...

Mandilara, Aikaterini.

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Studies in quantum control and quantum entanglement.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Studies in quantum control and quantum entanglement./
作者:	Mandilara, Aikaterini.
面頁冊數:	205 p.
附註:	Source: Dissertation Abstracts International, Volume: 67-02, Section: B, page: 0944.
Contained By:	Dissertation Abstracts International67-02B.
標題:	Physics, Atomic. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3207222
ISBN:	9780542557927

Studies in quantum control and quantum entanglement.
Mandilara, Aikaterini.

Studies in quantum control and quantum entanglement. - 205 p.

Source: Dissertation Abstracts International, Volume: 67-02, Section: B, page: 0944.

Thesis (Ph.D.)--Washington University, 2005.

Entanglement, i.e. nonlocal correlations among quantum systems, is a property that was discovered in the early development of quantum theory and puzzled scientists ever since. During the last decade, entanglement has played the role of the main resource for quantum information protocols and quantum computation algorithm implementations. This has naturally led to a new understanding and quantification of entanglement and has opened new prospects for applications. In addition, it is generally believed that entanglement can provide a more complete description of quantum phenomena, such as quantum chaos and quantum phase transitions. Entanglement among two quantum systems, each of finite dimension, is well understood and described. In the first part of this work, we develop further the notion that bipartite entanglement can be advantageous in quantum control. The controller is no longer considered to be a classical system but rather a quantum system interacting with the quantum system that is to be controlled. A probabilistic control scenario is proposed, that it is implemented via indirect measurements and has advantages when decoherence is present or the system is not controllable by unitary means. By introducing quantum controllers the idea of geometric quantum control can be extended from the case of pure quantum states to mixed states. A certain class of interaction between the controller and the system is shown to have a simple geometric picture inside the Bloch sphere. In another application, we address the concept of bipartite entanglement to study the entanglement properties of the transverse Ising model ground state. The wave function is described by variational correlated-basis-function theory for two and three dimensional spin lattices. The results are compared with the exact results for the one dimensional case. The nature of entanglement among more parties, i.e. multipartite entanglement, remains largely an open problem. There are no generally accepted proposals for describing and quantifying entanglement among more than three qubits. In the second part of this work, an approach based on the use of nilpotent polynomials is developed. The resulting description is extensive in the unentangled parts, offers a simple entanglement criterion, and applies to more complicated subsystems than two-level systems. Dynamical equations for the polynomials describing the entanglement are obtained, known measures and classes for ensembles of three and four qubits are reproduced and methods for constructing measures are proposed.

ISBN: 9780542557927Subjects--Topical Terms:

1029235
Physics, Atomic.

Studies in quantum control and quantum entanglement.
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