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Quantum Error Correction using Stabi...

Looi, Shiang Yong.

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Quantum Error Correction using Stabilizer States and Graph States.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum Error Correction using Stabilizer States and Graph States./
Author:	Looi, Shiang Yong.
Description:	94 p.
Notes:	Source: Dissertation Abstracts International, Volume: 72-12, Section: B, page: 7434.
Contained By:	Dissertation Abstracts International72-12B.
Subject:	Quantum physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3476126
ISBN:	9781124926445

Quantum Error Correction using Stabilizer States and Graph States.
Looi, Shiang Yong.

Quantum Error Correction using Stabilizer States and Graph States. - 94 p.

Source: Dissertation Abstracts International, Volume: 72-12, Section: B, page: 7434.

Thesis (Ph.D.)--Carnegie Mellon University, 2011.

This item must not be sold to any third party vendors.

Graph states were first introduced to construct quantum error-correcting codes. It was subsequently shown to be a powerful formalism as it includes additive (or stabilizer) as well nonadditive codes. We constructed families of both types of codes for qubits and also general higher dimensional qudits. Graph states can also be used to construct families of equally-entangled bases on two or more parts.

ISBN: 9781124926445Subjects--Topical Terms:

726746
Quantum physics.

Quantum Error Correction using Stabilizer States and Graph States.
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020 $a 9781124926445
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100 1 $a Looi, Shiang Yong. $3 3172361
245 1 0 $a Quantum Error Correction using Stabilizer States and Graph States.
300 $a 94 p.
500 $a Source: Dissertation Abstracts International, Volume: 72-12, Section: B, page: 7434.
500 $a Adviser: Robert B. Griffiths.
502 $a Thesis (Ph.D.)--Carnegie Mellon University, 2011.
506 $a This item must not be sold to any third party vendors.
520 $a Graph states were first introduced to construct quantum error-correcting codes. It was subsequently shown to be a powerful formalism as it includes additive (or stabilizer) as well nonadditive codes. We constructed families of both types of codes for qubits and also general higher dimensional qudits. Graph states can also be used to construct families of equally-entangled bases on two or more parts.
520 $a Next we studied a three-part quantum system in quantum error correction where we imagine k input qudits encoded into a subspace of n output/carrier qudits using a stabilizer code. We asked how much information can be extracted if some of the n carrier qubits are lost, and we know which are lost. We fully characterized how much information is left on the remaining carrier qudits using concepts like types of information and information groups. We also show the three-part problem above can be mapped to studying correlations of entanglement of three-part stabilizer states. We extended Bravyi et al.'s proof [J. Math. Phys. 47, 062106 (2006)] on entanglement of three part stabilizer states from qubits ( D = 2) to general squarefree D, i.e. D is not divisible by a perfect square.
590 $a School code: 0041.
650 4 $a Quantum physics. $3 726746
650 4 $a Theoretical physics. $3 2144760
690 $a 0599
690 $a 0753
710 2 $a Carnegie Mellon University. $3 1018096
773 0 $t Dissertation Abstracts International $g 72-12B.
790 $a 0041
791 $a Ph.D.
792 $a 2011
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3476126