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Characterizing entanglement in quant...

Spedalieri, Federico Maximiliano.

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Characterizing entanglement in quantum information.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Characterizing entanglement in quantum information./
Author:	Spedalieri, Federico Maximiliano.
Description:	108 p.
Notes:	Source: Dissertation Abstracts International, Volume: 64-06, Section: B, page: 2712.
Contained By:	Dissertation Abstracts International64-06B.
Subject:	Physics, General. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3093511
ISBN:	0496412140

Characterizing entanglement in quantum information.
Spedalieri, Federico Maximiliano.

Characterizing entanglement in quantum information. - 108 p.

Source: Dissertation Abstracts International, Volume: 64-06, Section: B, page: 2712.

Thesis (Ph.D.)--California Institute of Technology, 2003.

Entanglement is a key resource in the emerging field of Quantum Information. The strong correlations between systems described by an entangled state allow us to perform certain tasks more efficiently than it would be possible by using only classical resources. This is why the characterization of entanglement is one of the most important problems in Quantum Information.

ISBN: 0496412140Subjects--Topical Terms:

1018488
Physics, General.

Characterizing entanglement in quantum information.
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100 1 $a Spedalieri, Federico Maximiliano. $3 1903276
245 1 0 $a Characterizing entanglement in quantum information.
300 $a 108 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-06, Section: B, page: 2712.
500 $a Adviser: John Preskill.
502 $a Thesis (Ph.D.)--California Institute of Technology, 2003.
520 $a Entanglement is a key resource in the emerging field of Quantum Information. The strong correlations between systems described by an entangled state allow us to perform certain tasks more efficiently than it would be possible by using only classical resources. This is why the characterization of entanglement is one of the most important problems in Quantum Information.
520 $a In this thesis, we analyze several aspects of entanglement. First, we introduce a new family of criteria to determine if a bipartite mixed state is entangled or not. This family consists of a sequence of tests that can be implemented efficiently, and has the property that all entangled states can be detected by some test in the sequence.
520 $a Each test in the family can be stated as a semidefinite program, which is a class of convex optimization problems. The duality structure of these programs allows us to explicitly construct an entanglement witness that proves entanglement of a state, whenever the state fails one of the tests in the sequence. The entanglement witnesses constructed in this manner have well-defined algebraic properties that can be used to give a characterization of the interior of the set of all possible entanglement witnesses, as well as the set of strictly positive bihermitian forms and the set of strictly positive maps.
520 $a We also study deterministic transformations of three-qubit pure state when only local operations and classical communication (LOCC) are allowed. We derive strong constraints that the operations and states involved must satisfy, and we apply these results to characterize the set of real states that can be obtained from the GHZ state by LOCC.
590 $a School code: 0037.
650 4 $a Physics, General. $3 1018488
690 $a 0605
710 2 0 $a California Institute of Technology. $3 726902
773 0 $t Dissertation Abstracts International $g 64-06B.
790 1 0 $a Preskill, John, $e advisor
790 $a 0037
791 $a Ph.D.
792 $a 2003
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3093511