Zeta Function Regularization And Its Relationship To Number Theory, 2021 East Tennessee State University

#### Zeta Function Regularization And Its Relationship To Number Theory, Stephen Wang

*Electronic Theses and Dissertations*

While the "path integral" formulation of quantum mechanics is both highly intuitive and far reaching, the path integrals themselves often fail to converge in the usual sense. Richard Feynman developed regularization as a solution, such that regularized path integrals could be calculated and analyzed within a strictly physics context. Over the past 50 years, mathematicians and physicists have retroactively introduced schemes for achieving mathematical rigor in the study and application of regularized path integrals. One such scheme was introduced in 2007 by the mathematicians Klaus Kirsten and Paul Loya. In this thesis, we reproduce the Kirsten and Loya approach to ...

Designing Cryogenic Strain Device For 2d Materials, 2021 University of Arkansas, Fayetteville

#### Designing Cryogenic Strain Device For 2d Materials, Jake Carter

*Mechanical Engineering Undergraduate Honors Theses*

The Churchill lab working within the Physics Department at the University of Arkansas is working to create important quantum states including weak topological insulators (TIs) through the use of symmetry engineering and topological electronic states in two-dimensional (2D) crystals of WHM materials. Experimental results of these topological states have been obstructed due to the difficulty to perform controlled in situ strain. This project strives to create a mount to utilize a piezoelectric nanopositioner within cryostats achieving an in situ strain that creates the quantum states the lab is looking to observe. This report also examines the necessary equations to determine ...

Implications Of The Quantum Dna Model For Information Sciences, 2021 University of Tennessee Health Science Center

#### Implications Of The Quantum Dna Model For Information Sciences, F. Matthew Mihelic

*Faculty Publications*

The DNA molecule can be modeled as a quantum logic processor, and this model has been supported by pilot research that experimentally demonstrated non-local communication between cells in separated cell cultures. This modeling and pilot research have important implications for information sciences, providing a potential architecture for quantum computing that operates at room temperature and is scalable to millions of qubits, and including the potential for an entanglement communication system based upon the quantum DNA architecture. Such a system could be used to provide non-local quantum key distribution that could not be blocked by any shielding or water depth, would ...

Magnetic Vector Potential Manipulation Of Majorana Fermions In Dna Quantum Logic, 2021 University of Tennessee Health Science Center

#### Magnetic Vector Potential Manipulation Of Majorana Fermions In Dna Quantum Logic, F. Matthew Mihelic

*Faculty Publications*

In the quantum logic of the DNA molecule, electrons are held and conducted coherently as spinless Cooper pairs and are shielded from electromagnetic energy by a Faraday cage effect of the double lipid bilayer of the nuclear membrane. The magnetic vector potential generated by cellular depolarization can synchronize logical activity in portions of the DNA molecule by affecting spin directions of appropriately oriented spinless electrons via the Aharonov-Bohm effect, but is not blocked by that Faraday cage effect. Within the logically and thermodynamically reversible chiral enantiomeric symmetry of the deoxyribose moieties the decoherent transition of Cooper pair to Dirac pair ...

Optomechanical Quantum Entanglement, 2021 Louisiana State University and Agricultural and Mechanical College

#### Optomechanical Quantum Entanglement, Kahlil Y. Dixon

*LSU Doctoral Dissertations*

As classical technology approaches its limits, exploration of quantum technologies is critical. Quantum optics will be the basis of various cutting-edge research and applications in quantum technology. In particular, quantum optics quite efficacious when applied to quantum networks and the quantum internet. Quantum Optomechanics, a subfield of quantum optics, contains some novel methods for entanglement generation. These entanglement production methods exploit the noise re-encoding process, which is most often associated with creating unwanted phase noise in optical circuits. Using the adapted two-photon formalism and experimental results, we simulate (in an experimentally viable parameter space) optomechanical entanglement generation experiments. These simulations ...

Energy-Constrained Distinguishability Measures For Assessing Performance In Quantum Information Processing, 2021 Louisiana State University at Baton Rouge

#### Energy-Constrained Distinguishability Measures For Assessing Performance In Quantum Information Processing, Kunal Sharma

*LSU Doctoral Dissertations*

The aim of this thesis is to develop a framework for assessing performance in quantum information processing with continuous variables. In particular, we focus on quantifying the fundamental limitations on communication and computation over bosonic Gaussian systems. Due to their infinite-dimensional structure, we make a realistic assumption of energy constraints on the input states of continuous-variable (CV) quantum operations. Our first contribution is to show that energy-constrained distinguishability measures can be used to establish tight upper bounds on the communication capacities of phase-insensitive, bosonic Gaussian channels -- thermal, amplifier, and additive-noise channels. We then prove that an optimal Gaussian input state ...

Applications Of Quantum Optics: From The Quantum Internet To Analogue Gravity, 2021 Louisiana State University and Agricultural and Mechanical College

#### Applications Of Quantum Optics: From The Quantum Internet To Analogue Gravity, Anthony Brady

*LSU Doctoral Dissertations*

The aim of this thesis is to highlight applications of quantum optics in two very distinct fields: space-based quantum communication and the Hawking effect in analogue gravity. Regarding the former: We simulate and analyze a constellation of satellites, equipped with entangled photon-pair sources, which provide on-demand entanglement distribution ser- vices to terrestrial receiver stations. Satellite services are especially relevant for long-distance quantum-communication scenarios, as the loss in satellite-based schemes scales more favor- ably with distance than in optical fibers or in atmospheric links, though establishing quantum resources in the space-domain is expensive. We thus develop an optimization technique which balances ...

Quantum Simulation Of Schrödinger's Equation, 2021 American University in Cairo

#### Quantum Simulation Of Schrödinger's Equation, Mohamed Eltohfa

*Capstone and Graduation Projects*

Quantum computing is one of the promising active areas in physics research. This is because of the potential of quantum algorithms to outperform their classical counterparts. Grover’s search algorithm has a quadratic speed-up compared to the classical linear search. The quantum simulation of Schrödinger’s equation has an exponential memory save-up compared to the classical simulation. In this thesis, the ideas and tools of quantum computing are reviewed. Grover’s algorithm is studied and simulated as an example. Using the Qiskit quantum computing library, a code to simulate Schrödinger’s equation for a particle in one dimension is developed ...

Towards A General Framework For Practical Quantum Network Protocols, 2021 Louisiana State University and Agricultural and Mechanical College

#### Towards A General Framework For Practical Quantum Network Protocols, Sumeet Khatri

*LSU Doctoral Dissertations*

The quantum internet is one of the frontiers of quantum information science. It will revolutionize the way we communicate and do other tasks, and it will allow for tasks that are not possible using the current, classical internet. The backbone of a quantum internet is entanglement distributed globally in order to allow for such novel applications to be performed over long distances. Experimental progress is currently being made to realize quantum networks on a small scale, but much theoretical work is still needed in order to understand how best to distribute entanglement and to guide the realization of large-scale quantum ...

Quantum Computing: Resolving Myths, From Physics To Metaphysics, 2021 California Polytechnic State University, San Luis Obispo

#### Quantum Computing: Resolving Myths, From Physics To Metaphysics, Jacob R. Mandel

*Physics*

As the field of quantum computing becomes popularized, *myths* or misconceptions will inevitably come along with it. From the sci-fi genre to the casual usage of the term *quantum, *idealism begins to take over our projections of the technological future. But *what are quantum computers?* And what does *quantum *mean? How are they any different than the computers we use on an everyday basis? Will there be quantum computing smartphones? Are quantum computers just a faster version of conventional computing or a wholly new way of computing altogether? The objective of this paper is to resolve common *myths* or misconceptions ...

Determination Of The Rydberg Constant From The Emission Spectra Of H And He+, 2021 Department of Chemistry, West Chester University of Pennsylvania

#### Determination Of The Rydberg Constant From The Emission Spectra Of H And He+, Kyle D. Shaffer

*Ramifications*

**Abstract**

In this experiment, the Rydberg constants for the hydrogen atom and He^{+} were determined by analysis of the emission spectra of Hand He, respectively, in comparison to the principal quantum numbers of each transition. Using both a hydrogen and then a helium atomic lamp attached to a 0.5 m grating spectrometer and a photomultiplier detector (PMT), a change in voltage detected by the PMT can be paired with a corresponding wavelength passing through the spectrometer from each emission peak in the visible to ultraviolet range. The peaks acquired from this change in voltage were analyzed to find their ...

Plasmonic Waveguides To Enhance Quantum Electrodynamic Phenomena At The Nanoscale, 2021 Nanjing University of Information Science and Technology

#### Plasmonic Waveguides To Enhance Quantum Electrodynamic Phenomena At The Nanoscale, Ying Li, Christos Argyropoulos

*Faculty Publications from the Department of Electrical and Computer Engineering*

The emerging field of plasmonics can lead to enhanced light-matter interactions at extremely nanoscale regions. Plasmonic (metallic) devices promise to efficiently control both classical and quantum properties of light. Plasmonic waveguides are usually used to excite confined electromagnetic modes at the nanoscale that can strongly interact with matter. The analysis of these nanowaveguides exhibits similarities with their low frequency microwave counterparts. In this article, we review ways to study plasmonic nanostructures coupled to quantum optical emitters from a classical electromagnetic perspective. These quantum emitters are mainly used to generate single-photon quantum light that can be employed as a quantum bit ...

Interactions Of Organic Fluorophores With Plasmonic Surface Lattice Resonances, 2021 The Graduate Center, City University of New York

#### Interactions Of Organic Fluorophores With Plasmonic Surface Lattice Resonances, Robert J. Collison

*Dissertations, Theses, and Capstone Projects*

It is common knowledge that metals, alloys and pure elements alike, are lustrous and reflective, the more so when a metal surface is flat, polished, and free from oxidation and surface fouling. However, some metals reflect visible light, in the 380 nm to 740 nm range of wavelengths, much more strongly than others. In particular, some metals reflect wavelengths in certain portions of the ultraviolet (UV), visible, and near-infrared (NIR) regime, let us say 200 nm to 2000 nm, while absorbing light strongly in other segments of this range. There are several factors that account for this difference between various ...

Multi-Atom Quasiparticle Scattering Interference For Superconductor Energy-Gap Symmetry Determination, 2021 Cornell University and University of Maryland

#### Multi-Atom Quasiparticle Scattering Interference For Superconductor Energy-Gap Symmetry Determination, Rahul Sharma, Andreas Kreisel, Miguel Antonio Sulangi, Jakob Böker, Andrey Kostin, Milan P. Allan, H. Eisaki, Anna E. Böhmer, Paul C. Canfield, Ilya Eremin, J. C. Séamus Davis, P. J. Hirschfeld, Peter O. Sprau

*Ames Laboratory Accepted Manuscripts*

Complete theoretical understanding of the most complex superconductors requires a detailed knowledge of the symmetry of the superconducting energy-gap Δαk, for all momenta k on the Fermi surface of every band α. While there are a variety of techniques for determining |Δαk|, no general method existed to measure the signed values of Δαk. Recently, however, a technique based on phase-resolved visualization of superconducting quasiparticle interference (QPI) patterns, centered on a single non-magnetic impurity atom, was introduced. In principle, energy-resolved and phase-resolved Fourier analysis of these images identifies wavevectors connecting all k-space regions where Δαk has the same or opposite sign ...

On Conservation Laws In Quantum Mechanics, 2021 Chapman University

#### On Conservation Laws In Quantum Mechanics, Yakir Aharonov, Sandu Popescu, Daniel Rohrlich

*Mathematics, Physics, and Computer Science Faculty Articles and Research*

Conservation laws are one of the most important aspects of nature. As such, they have been intensively studied and extensively applied, and are considered to be perfectly well established. We, however, raise fundamental question about the very meaning of conservation laws in quantum mechanics. We argue that, although the standard way in which conservation laws are defined in quantum mechanics is perfectly valid as far as it goes, it misses essential features of nature and has to be revisited and extended.

Shallow-Circuit Variational Quantum Eigensolver Based On Symmetry-Inspired Hilbert Space Partitioning For Quantum Chemical Calculations, 2021 Ames Laboratory

#### Shallow-Circuit Variational Quantum Eigensolver Based On Symmetry-Inspired Hilbert Space Partitioning For Quantum Chemical Calculations, Feng Zhang, Niladri Gomes, Noah F. Berthusen, Peter P. Orth, Cai-Zhuang Wang, Kai-Ming Ho, Yong-Xin Yao

*Physics and Astronomy Publications*

Development of resource-friendly quantum algorithms remains highly desirable for noisy intermediate-scale quantum computing. Based on the variational quantum eigensolver (VQE) with unitary coupled-cluster *Ansatz*, we demonstrate that partitioning of the Hilbert space made possible by the point-group symmetry of the molecular systems greatly reduces the number of variational operators by confining the variational search within a subspace. In addition, we found that instead of including all subterms for each excitation operator, a single-term representation suffices to reach required accuracy for various molecules tested, resulting in an additional shortening of the quantum circuit by a factor of 4–8. With these ...

Quantum Computing For The Quantum Curious, 2021 Illinois Mathematics and Science Academy

#### Quantum Computing For The Quantum Curious, Ciaran Hughes, Joshua Isaacson, Anastasia Perry, Ranbel F. Sun, Jessica Turner

*Open Access Books*

This open access book makes quantum computing more accessible than ever before. A fast-growing field at the intersection of physics and computer science, quantum computing promises to have revolutionary capabilities far surpassing “classical” computation. Getting a grip on the science behind the hype can be tough: at its heart lies quantum mechanics, whose enigmatic concepts can be imposing for the novice.

This classroom-tested textbook uses simple language, minimal math, and plenty of examples to explain the three key principles behind quantum computers: superposition, quantum measurement, and entanglement. It then goes on to explain how this quantum world opens up a ...

Semiclassical Backreaction On Asymptotically Anti–De Sitter Black Holes, 2021 Dublin City University

#### Semiclassical Backreaction On Asymptotically Anti–De Sitter Black Holes, Peter Taylor, Cormac Breen

*Articles*

We consider a quantum scalar field on the classical background of an asymptotically anti–de Sitter black hole and the backreaction the field’s stress-energy tensor induces on the black hole geometry. The backreaction is computed by solving the reduced-order semiclassical Einstein field equations sourced by simple analytical approximations for the renormalized expectation value of the scalar field stress-energy tensor. When the field is massless and conformally coupled, we adopt Page’s approximation to the renormalized stress-energy tensor, while for massive fields we adopt a modified version of the DeWitt-Schwinger approximation. The latter approximation must be modified so that it ...

Role Of Boundary Conditions In Quantum Computations Of Scattering Observables, 2021 Old Dominion University

#### Role Of Boundary Conditions In Quantum Computations Of Scattering Observables, Raúl A. Briceño, Juan V. Guerrero, Maxwell T. Hansen, Alexandru M. Sturzu

*Physics Faculty Publications*

Quantum computing may offer the opportunity to simulate strongly interacting field theories, such as quantum chromodynamics, with physical time evolution. This would give access to Minkowski-signature correlators, in contrast to the Euclidean calculations routinely performed at present. However, as with present-day calculations, quantum computation strategies still require the restriction to a finite system size, including a finite, usually periodic, spatial volume. In this work, we investigate the consequences of this in the extraction of hadronic and Compton-like scattering amplitudes. Using the framework presented in Briceno et al. [Phys. Rev. D 101, 014509 (2020)], we estimate the volume effects for various ...

Energy-Dependent Π⁺Π⁺Π⁺ Scattering Amplitude From Qcd, 2021 Old Dominion University

#### Energy-Dependent Π⁺Π⁺Π⁺ Scattering Amplitude From Qcd, Maxwell T. Hansen, Raúl A. Briceño, Robert G. Edwards, Christopher E. Thomas, David J. Wilson

*Physics Faculty Publications*

Focusing on three-pion states with maximal isospin π⁺π⁺π⁺, we present the first nonperturbative determination of an energy-dependent three-hadron scattering amplitude from first-principles QCD. The calculation combines finite-volume three-hadron energies, extracted using numerical lattice QCD, with a relativistic finite-volume formalism, required to interpret the results. To fully implement the latter, we also solve integral equations that relate an intermediate three-body K matrix to the physical three-hadron scattering amplitude. The resulting amplitude shows rich analytic structure and a complicated dependence on the two-pion invariant masses, represented here via Dalitz-like plots of the scattering rate.