Local Spin Operators For Fermion Simulations,
2016
Dartmouth College
Local Spin Operators For Fermion Simulations, James D. Whitfield, Vojtěch Havlíček, Matthias Troyer
Dartmouth Scholarship
Digital quantum simulation of fermionic systems is important in the context of chemistry and physics. Simulating fermionic models on general purpose quantum computers requires imposing a fermionic algebra on qubits. The previously studied Jordan-Wigner and Bravyi-Kitaev transformations are two techniques for accomplishing this task. Here, we reexamine an auxiliary fermion construction which maps fermionic operators to local operators on qubits. The local simulation is performed by relaxing the requirement that the number of qubits should match the number of single-particle states. Instead, auxiliary sites are introduced to enable nonconsecutive fermionic couplings to be simulated with constant low-rank tensor products on …
Realisation Of Qudits In Coupled Potential Wells,
2016
Tel Aviv University
Realisation Of Qudits In Coupled Potential Wells, Ariel Landau, Yakir Aharonov, Eliahu Cohen
Mathematics, Physics, and Computer Science Faculty Articles and Research
Quantum computation strongly relies on the realisation, manipulation and control of qubits. A central method for realizing qubits is by creating a double-well potential system with a significant gap between the first two eigenvalues and the rest. In this work we first revisit the theoretical grounds underlying the double-well qubit dynamics, then proceed to suggest novel extensions of these principles to a triple-well qutrit with periodic boundary conditions, followed by a general d-well analysis of qudits. These analyses are based on representations of the special unitary groups SU(d) which expose the systems' symmetry and employ them for performing computations. We …
The Quantum Universe: Philosophical Foundations And Oriental Medicine,
2016
Chapman University
The Quantum Universe: Philosophical Foundations And Oriental Medicine, Menas Kafatos, Keun-Hang Susan Yang
Mathematics, Physics, and Computer Science Faculty Articles and Research
The existence of universal principles in both science and medicine implies that one canexplore their common applicability. Here we explore what we have learned from quantummechanics, phenomena such as entanglement and nonlocality, the role of participationof the observer, and how these may apply to oriental medicine. The universal principles ofintegrated polarity, recursion, and creative interactivity apply to all levels of existence and allhuman activities, including healing and medicine. This review examines the possibility thatwhat we have learned from quantum mechanics may provide clues to better understandthe operational principles of oriental medicine in an integrated way. Common to both isthe assertion …
Electron Correlations In Local Effective Potential Theory,
2016
CUNY Graduate Center and CUNY Brooklyn College
Electron Correlations In Local Effective Potential Theory, Viraht Sahni, Xiao-Yin Pan, Tao Yang
Publications and Research
Local effective potential theory, both stationary-state and time-dependent, constitutes the mapping from a system of electrons in an external field to one of the noninteracting fermions possessing the same basic variable such as the density, thereby enabling the determination of the energy and other properties of the electronic system. This paper is a description via Quantal Density Functional Theory (QDFT) of the electron correlations that must be accounted for in such a mapping. It is proved through QDFT that independent of the form of external field, (a) it is possible to map to a model system possessing all the basic …
Quantum Enigma Machine: Experimentally Demonstrating Quantum Data Locking,
2016
University of Rochester
Quantum Enigma Machine: Experimentally Demonstrating Quantum Data Locking, Daniel J. Lum, John C. Howell, M. S. Allman, Thomas Gerrits, Varun B. Verma, Sae Woo Nam, Cosmo Lupo, Seth Lloyd
Mathematics, Physics, and Computer Science Faculty Articles and Research
Shannon proved in 1949 that information-theoretic-secure encryption is possible if the encryption key is used only once, is random, and is at least as long as the message itself. Notwithstanding, when information is encoded in a quantum system, the phenomenon of quantum data locking allows one to encrypt a message with a shorter key and still provide information-theoretic security. We present one of the first feasible experimental demonstrations of quantum data locking for direct communication and propose a scheme for a quantum enigma machine that encrypts 6 bits per photon (containing messages, new encryption keys, and forward error correction bits) …
Exact Solution Of Quadratic Fermionic Hamiltonians For Arbitrary Boundary Conditions,
2016
Dartmouth College
Exact Solution Of Quadratic Fermionic Hamiltonians For Arbitrary Boundary Conditions, Abhijeet Alase, Emilio Cobanera, Gerardo Ortiz, Lorenza Viola
Dartmouth Scholarship
We present a procedure for exactly diagonalizing finite-range quadratic fermionic Hamiltonians with arbitrary boundary conditions in one of D dimensions, and periodic in the remaining D−1. The key is a Hamiltonian-dependent separation of the bulk from the boundary. By combining information from the two, we identify a matrix function that fully characterizes the solutions, and may be used to construct an efficiently computable indicator of bulk-boundary correspondence. As an illustration, we show how our approach correctly describes the zero-energy Majorana modes of a time-reversal-invariant s-wave two-band superconductor in a Josephson ring configuration, and predicts that a fractional 4π-periodic Josephson effect …
Photonicstd-2d: Modeling Light Scattering In Periodic Multilayer Photonic Structures,
2016
North Carolina State University at Raleigh
Photonicstd-2d: Modeling Light Scattering In Periodic Multilayer Photonic Structures, Alexey Bondarev, Shaimaa Azzam, Zhaxylyk Kudyshev, Alexander V. Kildishev
The Summer Undergraduate Research Fellowship (SURF) Symposium
Efficient modeling of electromagnetic processes in optical and plasmonic metamaterials is important for enabling new and exciting ways to manipulate light for advanced applications. In this work, we put together a tool for numerical simulation of propagation of normally incident light through a nanostructured multilayer composite material. The user builds a unit cell of a given material layer-by-layer starting from a substrate up to a superstrate, splitting each layer further into segments. The segments are defined by width and material -- dielectric, metal or active medium. Simulations are performed with the finite difference time domain (FDTD) method. A database of …
Ultracold Quantum Scattering In The Presence Of Synthetic Spin-Orbit Coupling,
2016
Purdue University
Ultracold Quantum Scattering In The Presence Of Synthetic Spin-Orbit Coupling, Su-Ju Wang
Open Access Dissertations
Two-body scattering constitutes one of the most fundamental processes in various physical systems ranging from ultracold dilute quantum gases to energetic quark- gluon plasmas. In this dissertation, we study the low-energy atomic collision physics in the presence of synthetic gauge fields, which are generated by atom-light interaction. One category of synthetic gauge fields is the artificial spin-orbit coupling. We discuss three different aspects in scattering theory: ultracold collision, scattering resonance, and bound state formation from a few-body perspective when the atomic spin states are coupled with their center-of-mass motion. The understanding of the spin-orbit effects on the modification of the …
Measuring A Transmon Qubit In Circuit Qed: Dressed Squeezed States,
2016
University of California, Riverside
Measuring A Transmon Qubit In Circuit Qed: Dressed Squeezed States, Mostafa Khezri, Eric Mlinar, Justin Dressel, A. N. Korotkov
Mathematics, Physics, and Computer Science Faculty Articles and Research
Using circuit QED, we consider the measurement of a superconducting transmon qubit via a coupled microwave resonator. For ideally dispersive coupling, ringing up the resonator produces coherent states with frequencies matched to transmon energy states. Realistic coupling is not ideally dispersive, however, so transmon-resonator energy levels hybridize into joint eigenstate ladders of the Jaynes–Cummings type. Previous work has shown that ringing up the resonator approximately respects this ladder structure to produce a coherent state in the eigenbasis (a dressed coherent state). We numerically investigate the validity of this coherent-state approximation to find two primary deviations. First, resonator ring-up leaks small …
Dynamical Decoupling Sequences For Multi-Qubit Dephasing Suppression And Long-Time Quantum Memory,
2016
Dartmouth College
Dynamical Decoupling Sequences For Multi-Qubit Dephasing Suppression And Long-Time Quantum Memory, Gerardo A. Paz-Silva, Seung-Woo Lee, Todd J. Green, Lorenza Viola
Dartmouth Scholarship
We consider a class of multi-qubit dephasing models that combine classical noise sources and linear coupling to a bosonic environment, and are controlled by arbitrary sequences of dynamical decoupling pulses. Building on a general transfer filter-function framework for open-loop control, we provide an exact representation of the controlled dynamics for arbitrary stationary non-Gaussian classical and quantum noise statistics, with analytical expressions emerging when all dephasing sources are Gaussian. This exact characterization is used to establish two main results. First, we construct multi-qubit sequences that ensure maximum high-order error suppression in both the time and frequency domain and that can be …
Investigation Of Carbon Nanomaterials Embedded In A Cementitious Matrix,
2016
Western Kentucky University
Investigation Of Carbon Nanomaterials Embedded In A Cementitious Matrix, Clarissa A. Roe
Masters Theses & Specialist Projects
The objective of this thesis was to investigate whether the addition of carbon nanofibers had an effect on the splitting tensile strength of Hydro-Stone gypsum concrete. The carbon nanofibers used were single-walled carbon nanotubes (SWNT), buckminsterfullerene (C60), and graphene oxide (GO). Evidence of the nanofibers interacting with gypsum crystals in a connective manner was identified in both 1 mm thick concrete discs and concrete columns possessing a height of 2 in and a diameter of 1 in. Before imaging, the columns were subjected to a splitting tensile strength test. The results illustrate that while there is a general decrease in …
Quantum Paradox Of Choice: More Freedom Makes Summoning A Quantum State Harder,
2016
Chapman University
Quantum Paradox Of Choice: More Freedom Makes Summoning A Quantum State Harder, Emily Adlam, Adrian Kent
Mathematics, Physics, and Computer Science Faculty Articles and Research
The properties of quantum information in space-time can be investigated by studying operational tasks, such as “summoning,” in which an unknown quantum state is supplied at one point and a call is made at another for it to be returned at a third. Hayden and May [arXiv:1210.0913] recently proved necessary and sufficient conditions for guaranteeing successful return of a summoned state for finite sets of call and return points when there is a guarantee of at most one summons. We prove necessary and sufficient conditions when there may be several possible summonses and complying with any one constitutes success, and …
Theoretical Analysis Of Single Molecule Spectroscopy Lineshapes Of Conjugated Polymers,
2016
CUNY Graduate Center
Theoretical Analysis Of Single Molecule Spectroscopy Lineshapes Of Conjugated Polymers, Murali Devi
Dissertations, Theses, and Capstone Projects
Conjugated Polymers(CPs) exhibit a wide range of highly tunable optical properties. Quantitative and detailed understanding of the nature of excitons responsible for such a rich optical behavior has significant implications for better utilization of CPs for more efficient plastic solar cells and other novel optoelectronic devices. In general, samples of CPs are plagued with substantial inhomogeneous broadening due to various sources of disorder. Single molecule emission spectroscopy (SMES) offers a unique opportunity to investigate the energetics and dynamics of excitons and their interactions with phonon modes. The major subject of the present thesis is to analyze and understand room temperature …
Quantum Computers Are Coming And Will Be Able To Solve Complex Aviation And Aerospace Problems,
2016
Minnesota State University, Mankato
Quantum Computers Are Coming And Will Be Able To Solve Complex Aviation And Aerospace Problems, Nihad E. Daidzic
Aviation Department Publications
No abstract provided.
Superadiabatic Control Of Quantum Operations,
2016
Dartmouth College
Superadiabatic Control Of Quantum Operations, Jonathan Vandermause, Chandrasekhar Ramanathan
Dartmouth Scholarship
Adiabatic pulses are used extensively to enable robust control of quantum operations. We introduce an approach to adiabatic control that uses the superadiabatic quality factor as a performance metric to design robust, high-fidelity pulses. This approach permits the systematic design of quantum control schemes to maximize the adiabaticity of a unitary operation in a particular time interval given the available control resources. The interplay between adiabaticity, fidelity, and robustness of the resulting pulses is examined for the case of single-qubit inversion, and superadiabatic pulses are demonstrated to have improved robustness to control errors. A numerical search strategy is developed to …
Elements Of The Mathematical Formulation Of Quantum Mechanics,
2016
Washington University in Saint Louis
Elements Of The Mathematical Formulation Of Quantum Mechanics, Keunjae Go
Senior Honors Papers / Undergraduate Theses
In this paper, we will explore some of the basic elements of the mathematical formulation of quantum mechanics. In the first section, I will list the motivations for introducing a probability model that is quite different from that of the classical probability theory, but still shares quite a few significant commonalities. Later in the paper, I will discuss the quantum probability theory in detail, while paying a brief attention to some of the axioms (by Birkhoff and von Neumann) that illustrate both the commonalities and differences between classical mechanics and quantum mechanics. This paper will end with a presentation of …
Fundamental Awareness: A Framework For Integrating Science, Philosophy And Metaphysics,
2016
Icahn School of Medicine
Fundamental Awareness: A Framework For Integrating Science, Philosophy And Metaphysics, Neil D. Theise, Menas Kafatos
Mathematics, Physics, and Computer Science Faculty Articles and Research
The ontologic framework of Fundamental Awareness proposed here assumes that non-dual Awareness is foundational to the universe, not arising from the interactions or structures of higher level phenomena. The framework allows comparison and integration of views from the three investigative domains concerned with understanding the nature of consciousness: science, philosophy, and metaphysics. In this framework, Awareness is the underlying reality, not reducible to anything else. Awareness and existence are the same. As such, the universe is non-material, self-organizing throughout, a holarchy of complementary, process driven, recursive interactions. The universe is both its own first observer and subject. Considering the world …
Quantum And Classical Optics–Emerging Links,
2016
University of Rochester
Quantum And Classical Optics–Emerging Links, Joseph H. Eberly, Xiao-Feng Qian, Asma Al Qasimi, Hazrat Ali, M. A. Alonso, R Gutiérrez-Cuevas, Bethany Little, John C. Howell, Tanya Malhotra, A. N. Vamivakas
Mathematics, Physics, and Computer Science Faculty Articles and Research
Quantum optics and classical optics are linked in ways that are becoming apparent as a result of numerous recent detailed examinations of the relationships that elementary notions of optics have with each other. These elementary notions include interference, polarization, coherence, complementarity and entanglement. All of them are present in both quantum and classical optics. They have historic origins, and at least partly for this reason not all of them have quantitative definitions that are universally accepted. This makes further investigation into their engagement in optics very desirable. We pay particular attention to effects that arise from the mere co-existence of …
Spontaneous Parametric Down Conversion Of Photons Through Β-Barium Borate,
2016
California Polytechnic State University, San Luis Obispo
Spontaneous Parametric Down Conversion Of Photons Through Β-Barium Borate, Luke Horowitz
Physics
An apparatus for detecting pairs of entangled 405nm photons that have undergone Spontaneous Parametric Down Conversion through β-Barium Borate is described. By using avalanche photo-diodes to detect the low-intensity converted beam and a coincidence module to register coincident photons, it is possible to create an apparatus than can be used to perform quantum information experiments under a budget appropriate for an undergraduate physics lab.
A Case For Chiral Contributions To Nondipole Effects In Photoionization Using Linearly Polarized Soft X-Rays,
2016
University of Nevada, Las Vegas
A Case For Chiral Contributions To Nondipole Effects In Photoionization Using Linearly Polarized Soft X-Rays, Kyle Patrick Bowen
UNLV Theses, Dissertations, Professional Papers, and Capstones
Modelling angular distributions of photoelectrons requires making accurate approximations of both the incoming light and the behavior of bound electrons. The experimental determination of photoelectron angular distributions is crucial to the development of accurate theoretical models governing the light-matter interaction. To date, many models have relied upon the dipole approximation, which assumes a constant electric field as the source of ionization. Despite knowing that the dipole approximation would break down as photon energy increased, the precise limit was unclear. Over the past two decades, a strong case has been made that corrections to the dipole approximation are necessary for accurately …
