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Quantum Parametric Oscillators Coupled in Time and Frequency Domains.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum Parametric Oscillators Coupled in Time and Frequency Domains./
Author:	Ng, Edwin.
Description:	1 online resource (373 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 85-04, Section: B.
Contained By:	Dissertations Abstracts International85-04B.
Subject:	Propagation. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30615145click for full text (PQDT)
ISBN:	9798380482950

Quantum Parametric Oscillators Coupled in Time and Frequency Domains.
Ng, Edwin.

Quantum Parametric Oscillators Coupled in Time and Frequency Domains. - 1 online resource (373 pages)

Source: Dissertations Abstracts International, Volume: 85-04, Section: B.

Thesis (Ph.D.)--Stanford University, 2023.

Includes bibliographical references

Nonlinear oscillators have long been promising candidates to serve as basic computational units for nontraditional information processing such as analog, neuromorphic, and physics-based computing. Oscillators at microwave or optical frequencies can operate with orders of magnitude less power and higher bandwidth than conventional radio-frequency electronics and hence may be more sustainable alternatives for demanding computational tasks like machine learning. At the same time, as the energy scale of such oscillators approach the ultimate physical limits, quantum phenomena such as noise, superposition, and entanglement become unavoidable features in their operation, and recent experimental breakthroughs in quantum hardware, e.g., superconducting circuits and nanophotonics, have brought this exotic regime squarely upon our technological horizon. Much work, however, still lies ahead for any potential "quantum resurgence" of analog and oscillator-based computing.This dissertation collects a sequence of case studies that illustrate these challenges and opportunities, by examining the physics of large networks of parametric oscillators coupled together in time and frequency domains. Parametric oscillators are one of the simplest examples of quantum-coherent oscillators whose nonlinear dynamics exhibit features such as bistability understood as necessary for computation. When a large number of such parametric oscillators are coupled together, the resulting network can exhibit complex nonlinear dynamics that have been shown to solve hard optimization problems or implement certain neuromorphic architectures. In realizing such networks, our focus falls on utilizing the synthetic dimensions of time and frequency, which are particularly compelling physical resources for oscillators operating in the GHz and THz regimes.In the first part, we review the relevant formalism used to describe quantum parametric oscillators and introduce modeling methodologies for describing quantum networks thereof. In the second part, we examine a family of architectures based on time-multiplexed parametric oscillators, which have generated significant interest as physics-based "coherent Ising machines" for solving hard optimization problems. In the third part, we consider two case studies in frequency-multiplexed networks: a microwave architecture in which couplings can be arbitrarily synthesized, and an optical system in which the collective excitation of many frequency modes, in the form of an ultrashort pulse, can decrease operational energy scales by orders of magnitude. Finally, in the last part, we dig deeper into the latter finding to reveal the rich quantum dynamics contained within ultrashort, ultrabroadband pulses of light undergoing parametric interactions spanning thousands of modes.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798380482950Subjects--Topical Terms:

3680519
Propagation.
Index Terms--Genre/Form:

542853
Electronic books.

Quantum Parametric Oscillators Coupled in Time and Frequency Domains.
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245 1 0 $a Quantum Parametric Oscillators Coupled in Time and Frequency Domains.
264 0 $c 2023
300 $a 1 online resource (373 pages)
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500 $a Source: Dissertations Abstracts International, Volume: 85-04, Section: B.
500 $a Advisor: Fejer, Martin;Safavi-Naeini, Amir;Mabuchi, Hideo.
502 $a Thesis (Ph.D.)--Stanford University, 2023.
504 $a Includes bibliographical references
520 $a Nonlinear oscillators have long been promising candidates to serve as basic computational units for nontraditional information processing such as analog, neuromorphic, and physics-based computing. Oscillators at microwave or optical frequencies can operate with orders of magnitude less power and higher bandwidth than conventional radio-frequency electronics and hence may be more sustainable alternatives for demanding computational tasks like machine learning. At the same time, as the energy scale of such oscillators approach the ultimate physical limits, quantum phenomena such as noise, superposition, and entanglement become unavoidable features in their operation, and recent experimental breakthroughs in quantum hardware, e.g., superconducting circuits and nanophotonics, have brought this exotic regime squarely upon our technological horizon. Much work, however, still lies ahead for any potential "quantum resurgence" of analog and oscillator-based computing.This dissertation collects a sequence of case studies that illustrate these challenges and opportunities, by examining the physics of large networks of parametric oscillators coupled together in time and frequency domains. Parametric oscillators are one of the simplest examples of quantum-coherent oscillators whose nonlinear dynamics exhibit features such as bistability understood as necessary for computation. When a large number of such parametric oscillators are coupled together, the resulting network can exhibit complex nonlinear dynamics that have been shown to solve hard optimization problems or implement certain neuromorphic architectures. In realizing such networks, our focus falls on utilizing the synthetic dimensions of time and frequency, which are particularly compelling physical resources for oscillators operating in the GHz and THz regimes.In the first part, we review the relevant formalism used to describe quantum parametric oscillators and introduce modeling methodologies for describing quantum networks thereof. In the second part, we examine a family of architectures based on time-multiplexed parametric oscillators, which have generated significant interest as physics-based "coherent Ising machines" for solving hard optimization problems. In the third part, we consider two case studies in frequency-multiplexed networks: a microwave architecture in which couplings can be arbitrarily synthesized, and an optical system in which the collective excitation of many frequency modes, in the form of an ultrashort pulse, can decrease operational energy scales by orders of magnitude. Finally, in the last part, we dig deeper into the latter finding to reveal the rich quantum dynamics contained within ultrashort, ultrabroadband pulses of light undergoing parametric interactions spanning thousands of modes.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
650 4 $a Propagation. $3 3680519
650 4 $a Physics. $3 516296
650 4 $a Quantum theory. $3 516552
650 4 $a Optics. $3 517925
650 4 $a Annealing. $2 lcstt $3 3267268
650 4 $a Quantum physics. $3 726746
655 7 $a Electronic books. $2 lcsh $3 542853
690 $a 0752
690 $a 0605
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710 2 $a ProQuest Information and Learning Co. $3 783688
710 2 $a Stanford University. $3 754827
773 0 $t Dissertations Abstracts International $g 85-04B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30615145 $z click for full text (PQDT)