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Optimization and Tensor Network Meth...

Mishra, Sattwik Deb,

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Optimization and Tensor Network Methods for Quantum Optics and Quantum Circuit Analysis /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimization and Tensor Network Methods for Quantum Optics and Quantum Circuit Analysis // Sattwik Deb Mishra.
Author:	Mishra, Sattwik Deb,
Description:	1 electronic resource (133 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 86-03, Section: B.
Contained By:	Dissertations Abstracts International86-03B.
Subject:	Quantum computing. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31460370
ISBN:	9798384338703

Optimization and Tensor Network Methods for Quantum Optics and Quantum Circuit Analysis /
Mishra, Sattwik Deb,

Optimization and Tensor Network Methods for Quantum Optics and Quantum Circuit Analysis /Sattwik Deb Mishra. - 1 electronic resource (133 pages)

Source: Dissertations Abstracts International, Volume: 86-03, Section: B.

In recent years, there has been rapid progress in the development of highly controllable quantum systems, opening up applications in quantum computing and quantum communication. With the ultimate goal of creating a fault-tolerant quantum computing platform, noisy intermediate scale quantum devices have been shown to be able to carry out non-trivial computational tasks. Thus, it has become important to understand and alleviate the issues affecting the operation of current noisy quantum computers and communication between them, and to develop numerical simulation tools to aid this understanding.In this thesis, I will describe theoretical and computational approaches, based on tools from numerical optimization theory and tensor network simulation methods, to tackle some of these issues. First, I will present a numerical optimization strategy to improve the efficiency of quantum transducers, that are crucial for quantum communication over optical fiber links. Second, I will describe an optimization-based numerical method utilizing tensor network simulations, for efficiently computing performance bounds on noisy quantum circuits to answer if they can outperform classical computers. Finally, I will present a theoretical proposal for a Hamiltonian to model an arbitrary linear optical device, and use it to implement tensor network simulations of a time-delayed feedback system. Such feedback systems could possibly provide a platform for generation of highly entangled states for quantum computation.

English

ISBN: 9798384338703Subjects--Topical Terms:

2115803
Quantum computing.

Optimization and Tensor Network Methods for Quantum Optics and Quantum Circuit Analysis /
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520 $a In recent years, there has been rapid progress in the development of highly controllable quantum systems, opening up applications in quantum computing and quantum communication. With the ultimate goal of creating a fault-tolerant quantum computing platform, noisy intermediate scale quantum devices have been shown to be able to carry out non-trivial computational tasks. Thus, it has become important to understand and alleviate the issues affecting the operation of current noisy quantum computers and communication between them, and to develop numerical simulation tools to aid this understanding.In this thesis, I will describe theoretical and computational approaches, based on tools from numerical optimization theory and tensor network simulation methods, to tackle some of these issues. First, I will present a numerical optimization strategy to improve the efficiency of quantum transducers, that are crucial for quantum communication over optical fiber links. Second, I will describe an optimization-based numerical method utilizing tensor network simulations, for efficiently computing performance bounds on noisy quantum circuits to answer if they can outperform classical computers. Finally, I will present a theoretical proposal for a Hamiltonian to model an arbitrary linear optical device, and use it to implement tensor network simulations of a time-delayed feedback system. Such feedback systems could possibly provide a platform for generation of highly entangled states for quantum computation.
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650 4 $a Computer science. $3 523869
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650 4 $a Mathematics. $3 515831
650 4 $a Optics. $3 517925
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