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Khatiwada-Pawan_Thesis_2021.pdf (621.45 KB)

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An Introduction to Tensor Networks and Matrix Product States with Applications in Waveguide Quantum Electrodynamics

Khatiwada, Pawan
http://orcid.org/0000-0002-3292-0827
http://rave.ohiolink.edu/etdc/view?acc_num=miami1626968551365296

Abstract Details

2021, Master of Science, Miami University, Physics.
The operation of state-of-the-art quantum computers are requiring the coherent control of 100’s of quantum bits (qubits) to store, manipulate and transfer information quantum mechanically. The traditional theoretical tool adopted in the field of quantum optics such as the master equation approach, quantum Langevin equations, input-output formalism, and real-space method began to face challenges as these techniques are more suitable to deal with few qubit problems. Offering a solution to this issue, in this thesis, we present an introduction to the tensor network (TN) theory and Matrix Product States (MPS) as a formalism to predict ground states and time evolution of interesting excited states of many-qubit architectures. As a simple example, we apply the TN theory to waveguide quantum electrodynamics architectures to analyze the excitation dynamics of two-level quantum emitters coupled to the one-dimensional guided photonic modes.
Imran Mirza, PhD (Advisor)
Herbert Jaeger, PhD (Committee Member)
Samir Balli, PhD (Committee Chair)
61 p.
Information Science; Optics; Physics; Quantum Physics; Theoretical Physics
Tensor Networks; Matrix Product States; TN; MPS; Waveguide; Quantum Electrodynamics; two-level atom; quantum emitters; population dynamics; Linblad Master Equation; Time-evolving Block Decimation; TEBD; Entanglement; Concurrence; Negativity; Entropy

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Citations

  • Khatiwada, P. (2021). An Introduction to Tensor Networks and Matrix Product States with Applications in Waveguide Quantum Electrodynamics [Master's thesis, Miami University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=miami1626968551365296

    APA Style (7th edition)

  • Khatiwada, Pawan. An Introduction to Tensor Networks and Matrix Product States with Applications in Waveguide Quantum Electrodynamics. 2021. Miami University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=miami1626968551365296.

    MLA Style (8th edition)

  • Khatiwada, Pawan. "An Introduction to Tensor Networks and Matrix Product States with Applications in Waveguide Quantum Electrodynamics." Master's thesis, Miami University, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=miami1626968551365296

    Chicago Manual of Style (17th edition)

miami1626968551365296
471
© 2021, some rights reserved.Creative Commons License An Introduction to Tensor Networks and Matrix Product States with Applications in Waveguide Quantum Electrodynamics by Pawan Khatiwada is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by Miami University and OhioLINK.