Entanglement distribution between two separate systems via a third system

Entanglement is a quantum correlation between pairs (or groups) of systems. It is a resource of crucial importance for quantum information processing such as quantum cryptography and quantum computing. In this thesis, we investigated entanglement distribution between two separate systems A and B usi...

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Main Author: Krisnanda, I Wayan Gede Tanjung
Other Authors: Tomasz Paterek
Format: Final Year Project
Language:English
Published: 2015
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Online Access:http://hdl.handle.net/10356/64751
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-647512023-02-28T23:16:53Z Entanglement distribution between two separate systems via a third system Krisnanda, I Wayan Gede Tanjung Tomasz Paterek School of Physical and Mathematical Sciences DRNTU::Science::Physics::Atomic physics::Quantum theory Entanglement is a quantum correlation between pairs (or groups) of systems. It is a resource of crucial importance for quantum information processing such as quantum cryptography and quantum computing. In this thesis, we investigated entanglement distribution between two separate systems A and B using a third system C as an ancilla. For the case where C is allowed to interact discretely with A and then B, we found entanglement inequality: E(A-BC)-E(B-AC)<= E(C-AB) in pure states. We also found violations of such inequality that will lead to excessive distribution in which entanglement distributed is higher than entanglement communicated. For the case where C is allowed to interact continuously with A and B, we proved that entanglement in the partition A-B cannot increase under the condition that the state of the whole system is pure and the state of C is separable from AB. If the system evolves under the Born approximation, entanglement also cannot grow. This suggests that correlation in the partition C-AB is needed to distribute entanglement. In pure states, we computed entanglement as a function of time with perturbation theory. We observed an artefact that entanglement gain is possible with separable C. We also computed entanglement in weak and strong interaction limit. In weak interaction, we found that maximum entanglement is achieved at the same time for weaker interaction strength at the expense of its value. However, in strong interaction the same value of maximum entanglement can be achieved for weaker interaction strength at the expense of time. Bachelor of Science in Physics 2015-06-02T07:33:21Z 2015-06-02T07:33:21Z 2015 2015 Final Year Project (FYP) http://hdl.handle.net/10356/64751 en 54 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Physics::Atomic physics::Quantum theory
spellingShingle DRNTU::Science::Physics::Atomic physics::Quantum theory
Krisnanda, I Wayan Gede Tanjung
Entanglement distribution between two separate systems via a third system
description Entanglement is a quantum correlation between pairs (or groups) of systems. It is a resource of crucial importance for quantum information processing such as quantum cryptography and quantum computing. In this thesis, we investigated entanglement distribution between two separate systems A and B using a third system C as an ancilla. For the case where C is allowed to interact discretely with A and then B, we found entanglement inequality: E(A-BC)-E(B-AC)<= E(C-AB) in pure states. We also found violations of such inequality that will lead to excessive distribution in which entanglement distributed is higher than entanglement communicated. For the case where C is allowed to interact continuously with A and B, we proved that entanglement in the partition A-B cannot increase under the condition that the state of the whole system is pure and the state of C is separable from AB. If the system evolves under the Born approximation, entanglement also cannot grow. This suggests that correlation in the partition C-AB is needed to distribute entanglement. In pure states, we computed entanglement as a function of time with perturbation theory. We observed an artefact that entanglement gain is possible with separable C. We also computed entanglement in weak and strong interaction limit. In weak interaction, we found that maximum entanglement is achieved at the same time for weaker interaction strength at the expense of its value. However, in strong interaction the same value of maximum entanglement can be achieved for weaker interaction strength at the expense of time.
author2 Tomasz Paterek
author_facet Tomasz Paterek
Krisnanda, I Wayan Gede Tanjung
format Final Year Project
author Krisnanda, I Wayan Gede Tanjung
author_sort Krisnanda, I Wayan Gede Tanjung
title Entanglement distribution between two separate systems via a third system
title_short Entanglement distribution between two separate systems via a third system
title_full Entanglement distribution between two separate systems via a third system
title_fullStr Entanglement distribution between two separate systems via a third system
title_full_unstemmed Entanglement distribution between two separate systems via a third system
title_sort entanglement distribution between two separate systems via a third system
publishDate 2015
url http://hdl.handle.net/10356/64751
_version_ 1759856833310228480