Current Search: Quantum theory (x)
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Pages
- Title
- The principles of quantum mechanics, Chapter 2.
- Creator
-
Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Notes written by Paul A. M. Dirac on the principles of quantum mechanics. Chapter two discusses symbolic algebra of states and observables, including the addition of states, the multiplication of states, the algebra of observables, the physical interpretation of these observables, and several examples.
- Date Issued
- 1930
- Identifier
- s02b48f1, 2180649, FSDT2180649, fsu:212
- Format
- Document (PDF)
- Title
- The principles of quantum mechanics, Chapter 1.
- Creator
-
Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Notes on the principles of quantum mechanics. Chapter 1 covers the principles of superposition including waves and particles, the polarization of photons, and the compatibility of observations.
- Date Issued
- 1930
- Identifier
- s02b48f1, 2180648, FSDT2180648, fsu:211
- Format
- Document (PDF)
- Title
- The Conditions for Statistical Equilibrium Between Atoms, Electrons and Radiation.
- Creator
-
Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Lecture given at St. John's College, Cambridge. Attached is a letter of request for an appearance by Dirac from the Royal Society in London.
- Identifier
- FSUDirac_s02b36f4
- Format
- Document (PDF)
- Title
- Lecture of Paul A. M. Dirac on quantum physics presented in France.
- Creator
-
Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Lecture given by Paul A. M. Dirac at two different conferences in Paris, France on December 16 and 23, 1930. Lecture introduces the new idea of quantum physics and explaining the major differences between that and the older, more "classical" physics.
- Date Issued
- 1930-12
- Identifier
- s02b26f11, 2177229, fsu:199
- Format
- Document (PDF)
- Title
- A Quantum Compiler for Topological Quantum Computation.
- Creator
-
Carnahan, Caitlin, Physics
- Abstract/Description
-
A quantum computer is a device that exploits the strange properties of quantum mechanics in order to perform computations that are not feasible on a classical computer. To implement a quantum computer, it will be necessary to maintain the delicate quantum superpositions formed during computation; this is a very difficult problem because quantum systems, by their very nature, are incredibly fragile. However, it is possible to implement a finite of quantum gates to the required accuracy, which...
Show moreA quantum computer is a device that exploits the strange properties of quantum mechanics in order to perform computations that are not feasible on a classical computer. To implement a quantum computer, it will be necessary to maintain the delicate quantum superpositions formed during computation; this is a very difficult problem because quantum systems, by their very nature, are incredibly fragile. However, it is possible to implement a finite of quantum gates to the required accuracy, which makes it possible to perform fault-tolerant quantum computing, a scheme that minimizes error propagation in computations. The problem then becomes developing a method to build arbitrary quantum operations using this finite set of fault-tolerant gates. This can be accomplished by using the Solovay-Kitaev theorem, which proves that any unitary operation can not only be simulated, but done so efficiently to within a small margin of approximation using only the gates in the universal fault-tolerant gate set. The purpose of this research is to create an efficient program that demonstrates the process of the Solovay-Kitaev theorem using various universal gate sets. Essentially, the program presented in this paper translates a desired operation into the "machine code" of a quantum computer and therefore acts as a "quantum compiler". This project focuses specifically on topological quantum computing in which the fault-tolerant gate set can be visualized as elementary braids formed by worldlines traced out by exotic quasiparticles known as Fibonacci anyons.
Show less - Date Issued
- 2012
- Identifier
- FSU_migr_uhm-0096
- Format
- Thesis
- Title
- Letter to Dr. Dirac, February 1928.
- Creator
-
Cambridge Mathematical Club
- Abstract/Description
-
Letter sent from the Cambridge Mathematical Club announcing a club meeting on February 8, 1928, at which Dr. Dirac will read a paper on "The New Mechanics."
- Identifier
- FSU_MSS_1989009_B22_F11_11
- Format
- Set of related objects
- Title
- Basic Beliefs and Prejudices in Physics.
- Creator
-
Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Handwritten notes on the 1976 Lindau Nobel Laureate lecture in which Dirac explains the prejudices and biases that physicists must face. The lecture also covers theological issues, such as whether or not there is a God.
- Date Issued
- 1976-06-29
- Identifier
- s02b29f18, 2179024, fsu:200
- Format
- Document (PDF)
- Title
- The Foundations of Quantum Mechanics.
- Creator
-
Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Lecture given by Paul A. M. Dirac at the Lindau Nobel Laureate Conference concerning the basis of quantum mechanics and the recent problems quantum theory faced.
- Date Issued
- 1965-06
- Identifier
- s02b27f27, 2179025, fsu:201
- Format
- Document (PDF)
- Title
- Notes from Lecture of Paul A. M. Dirac at 1971 Lindau Nobel Laureate Meeting.
- Creator
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Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Notes on the lecture given by Paul A. M. Dirac addressing the fundamental problems in quantum theory; such as causality, and continuity in space and time.
- Date Issued
- 1971-06-29
- Identifier
- s02b28f23, 2179027, fsu:203
- Format
- Document (PDF)
- Title
- How the idea of antimatter arose.
- Creator
-
Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Notes from the lecture given in Edinburgh, Scotland by Paul A. M. Dirac concerning where quantum mechanics originated and how the idea of antimatter spread among physicists.
- Date Issued
- 1981-09-17
- Identifier
- s02b29f46, 2179029, fsu:205
- Format
- Document (PDF)
- Title
- Dissertation of Paul A. M. Dirac for Ph.D. degree.
- Creator
-
Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Excerpts from the dissertation which Paul A. M. Dirac wrote in order to obtain his Ph. D. from the University of Cambridge. Dirac's dissertation on quantum mechanics includes his notes; a preface; a table of contents; and topics such as algebraic axioms, quantum numbers, and the motion of a particle within a central field.
- Date Issued
- 1926-05
- Identifier
- 463297204, 353070, FSDT353070, fsu:641
- Format
- Document (PDF)
- Title
- Structural Stability and Emergent Phases in Oxygen Deficient Complex Transition Metal Oxides.
- Creator
-
Ghosh, Soham S., Manousakis, Efstratios, Shatruk, Mykhailo, Bonesteel, N. E., Roberts, Winston, Van Winkle, David, Flaherty, Francis A., Florida State University, College of...
Show moreGhosh, Soham S., Manousakis, Efstratios, Shatruk, Mykhailo, Bonesteel, N. E., Roberts, Winston, Van Winkle, David, Flaherty, Francis A., Florida State University, College of Arts and Sciences, Department of Physics
Show less - Abstract/Description
-
This dissertation is a theoretical and computational examination of structural, electronic and magnetic properties of complex transition metal oxide structures. Our work is motivated by experimental observations that transition metal oxides manifest novel properties at surfaces and interfaces that are absent in bulk, and that there exist competing ground states driven by off-stoichiometry, oxygen vacancy and reduction of symmetry. We examine these properties using density functional theory ...
Show moreThis dissertation is a theoretical and computational examination of structural, electronic and magnetic properties of complex transition metal oxide structures. Our work is motivated by experimental observations that transition metal oxides manifest novel properties at surfaces and interfaces that are absent in bulk, and that there exist competing ground states driven by off-stoichiometry, oxygen vacancy and reduction of symmetry. We examine these properties using density functional theory (DFT) within the spin-generalized gradient approximation (Spin-GGA) along with the application of a Hubbard U (GGA + U). We present our detailed results for the following systems: oxygen deficient strontium titanate surface, strontium ruthenate interfaced with ruthenium metal inclusions, and ytterbium titanate with Yb "stuffing". In the course of our work, we cover materials with 3d, 4d and 4f band characters, each of which have different band masses, electron-electron correlations and spin-orbit coupling (SOC) strength. We investigate the role of surface termination, oxygen vacancy doping and cation "stuffing" defects in these metal-oxides and show the emergence of novel properties consistent with experimentally acquired information and possible applications. We conclude by presenting implications for further work.
Show less - Date Issued
- 2017
- Identifier
- FSU_SUMMER2017_Ghosh_fsu_0071E_13962
- Format
- Thesis
- Title
- Entangling Qubits by Heisenberg Spin Exchange and Anyon Braiding.
- Creator
-
Zeuch, Daniel, Bonesteel, N. E., Sussman, Mark, Hill, S. (Stephen Olof), Piekarewicz, Jorge, Florida State University, College of Arts and Sciences, Department of Physics
- Abstract/Description
-
As the discovery of quantum mechanics signified a revolution in the world of physics more than one century ago, the notion of a quantum computer in 1981 marked the beginning of a drastic change of our understanding of information and computability. In a quantum computer, information is stored using quantum bits, or qubits, which are described by a quantum-mechanical superposition of the quantum states 0 and 1. Computation then proceeds by acting with unitary operations on these qubits. These...
Show moreAs the discovery of quantum mechanics signified a revolution in the world of physics more than one century ago, the notion of a quantum computer in 1981 marked the beginning of a drastic change of our understanding of information and computability. In a quantum computer, information is stored using quantum bits, or qubits, which are described by a quantum-mechanical superposition of the quantum states 0 and 1. Computation then proceeds by acting with unitary operations on these qubits. These operations are referred to as quantum logic gates, in analogy to classical computation where bits are acted on by classical logic gates. In order to perform universal quantum computation it is, in principle, sufficient to carry out single-qubit gates and two-qubit gates, where the former act on individual qubits and the latter, acting on two qubits, are used to entangle qubits with each other. The present thesis is divided into two main parts. In the first, we are concerned with spin-based quantum computation. In a spin-based quantum computer, qubits are encoded into the Hilbert space spanned by spin-½ particles, such as electron spins trapped in semiconductor quantum dots. For a suitable qubit encoding, turning on-and-off, or "pulsing," the isotropic Heisenberg exchange Hamiltonian JSi · Sj allows for universal quantum computation and it is this scheme, known as exchange-only quantum computation, which we focus on. In the second part of this thesis, we consider a topological quantum computer in which qubits are encoded using so-called Fibonacci anyons, exotic quasiparticle excitations that obey non-Abelian statistics, and which may emerge in certain two-dimensional topological systems such as fractional quantum-Hall states. Quantum gates can then be carried out by moving these particles around one another, a process that can be viewed as braiding their 2+1 dimensional worldlines. The subject of the present thesis is the development and theoretical understanding of procedures used for entangling qubits. We begin by presenting analytical constructions of pulse sequences which can be used to carry out two-qubit gates that are locally equivalent to a controlled-PHASE gate. The corresponding phase can be arbitrarily chosen, and for one particular choice this gate is equivalent to controlled-NOT. While the constructions of these sequences are relatively lengthy and cumbersome, we further provide a straightforward and intuitive derivation of the shortest known two-qubit pulse sequence for carrying out a controlled-NOT gate. This derivation is carried out completely analytically through a novel "elevation" of a simple three-spin pulse sequence to a more complicated five-spin pulse sequence. In the case of topological quantum computation with Fibonacci anyons, we present a new method for constructing entangling two-qubit braids. Our construction is based on an iterative procedure, established by Reichardt, which can be used to systematically generate braids whose corresponding operations quickly converge towards an operation that has a diagonal matrix representation in a particular natural basis. After describing this iteration procedure we show how the resulting braids can be used in two explicit constructions for two-qubit braids. Compared to two-qubit braids that can be found using other methods, the braids generated here are among the most efficient and can be obtained straightforwardly without computational overhead.
Show less - Date Issued
- 2016
- Identifier
- FSU_2016SU_Zeuch_fsu_0071E_13323
- Format
- Thesis
- Title
- Lecture of Paul A. M. Dirac at the Solvay Conference on Physics, 1927.
- Creator
-
Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Lecture Paul A. M. Dirac gave at the Solvay Congress concerning the newly formulated quantum theory.
- Date Issued
- 1927
- Identifier
- s02b26f03, 2101833, fsu:196
- Format
- Document (PDF)
- Title
- Letter to Dr. Dirac, June 20, 1928.
- Creator
-
Breit, Gregory
- Abstract/Description
-
Letter sent from Y. Breit to Dr. Dirac asking for his plans for the year and the possibility of working together. Breit also poses a few questions about Dr. Dirac's theories.
- Identifier
- FSU_MSS_1989009_B22_F11_42
- Format
- Set of related objects
- Title
- Search for Supersymmetry at CMS in Events with Photons, Jets and Low Missing Transverse Energy.
- Creator
-
Adams, Jordon Rowe, Askew, Andrew, Chase, P. Bryant, Adams, Todd, Owens, Joseph F., Dobrosavljević, Vladimir, Florida State University, College of Arts and Science, Department...
Show moreAdams, Jordon Rowe, Askew, Andrew, Chase, P. Bryant, Adams, Todd, Owens, Joseph F., Dobrosavljević, Vladimir, Florida State University, College of Arts and Science, Department of Physics
Show less - Abstract/Description
-
The Standard Model (SM) of particle physics offers the most complete quantum description of the known universe to date, however is unable to address some still unanswered questions. Supersymmetry (SUSY) is a theory which proposes partner particles for all SM particles and offers explanations for many of these questions. Many SUSY searches performed rely on signatures of high missing transverse energy due to a heavy SUSY particle escaping the detector, however these searches have not yet...
Show moreThe Standard Model (SM) of particle physics offers the most complete quantum description of the known universe to date, however is unable to address some still unanswered questions. Supersymmetry (SUSY) is a theory which proposes partner particles for all SM particles and offers explanations for many of these questions. Many SUSY searches performed rely on signatures of high missing transverse energy due to a heavy SUSY particle escaping the detector, however these searches have not yet yielded positive results and therefore new search strategies must be employed. In this analysis, a search for new physics is performed at the CERN LHC which targets signatures of SUSY. Specifically, a search for Stealth SUSY is performed, based on a sample of proton-proton collisions at √s = 8 TeV corresponding to 19.7 fb⁻¹ of integrated luminosity collected with the CMS detector in 2012. Stealth SUSY is a unique brand of SUSY which conserves R-Parity and naturally produces a low amount of missing transverse energy. The search strategy utilized is sen- sitive to a wide variety of new physics models including compressed spectra and long decay chains. The Stealth SUSY final state topology considered in this analysis consists of two photons, many jets and low missing transverse energy. The results of this data-driven search for new physics are reported, and good agreement is observed with the background expectation. The data are thus used to determine limits on squark/gaugino masses in the Stealth SUSY framework.
Show less - Date Issued
- 2015
- Identifier
- FSU_migr_etd-9278
- Format
- Thesis
- Title
- The principles of quantum mechanics, preface and table of contents.
- Creator
-
Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Notes on quantum mechanics written by Paul A. M. Dirac. The preface includes a brief explanation on the need for the newer concept of quantum mechanics, the difficulties in this field of science, and discussion of Dirac's own theory. Document also includes a table of contents for the remainder of Dirac's notes.
- Date Issued
- 1930-05-29
- Identifier
- s02b48f1, 2180647, FSDT2180647, fsu:210
- Format
- Document (PDF)
- Title
- Letter to Dr. Dirac, February 22, 1927.
- Creator
-
St. John's College (University of Cambridge)
- Abstract/Description
-
Letter sent from St. John's College to Dr. Dirac regarding a fellowship competition and residence in the college. The back of the letter contains a short professional history by Dirac.
- Identifier
- FSU_MSS_1989009_B22_F9_07
- Format
- Set of related objects
- Title
- Letter to Dr. Dirac, April 13, 1927.
- Creator
-
Scott, Robert Forsyth
- Abstract/Description
-
Letter sent from St. John's College in Cambridge by R. F. Scott to Dr. Dirac regarding his application for a fellowship and his writings on quantum mechanics.
- Identifier
- FSU_MSS_1989009_B22_F9_27
- Format
- Image (JPEG2000)
- Title
- Letter to Dr. Dirac, 1927.
- Creator
-
Lorentz, H. A. (Hendrik Antoon)
- Abstract/Description
-
Letter sent from Haarlem by H.A. Lorentz to Dr. Dirac inviting him to join the discussion on modern quantum dynamics at the Institut international du Physique-Solvay in the upcoming October.
- Identifier
- FSU_MSS_1989009_B22_F10_10
- Format
- Set of related objects
- Title
- Non-commutative algebra in the physical world.
- Creator
-
Dirac, P. A. M. (Paul Adrien Maurice)
- Abstract/Description
-
Notes on the lecture which Paul A. M. Dirac presented at the University of Cambridge. The lecture discusses the Bohr-Summerfeld theory, the Heisenberg principle, and Dirac's own equation.
- Date Issued
- 1969-06-29
- Identifier
- s02b28f14, 2179037, fsu:207
- Format
- Document (PDF)
- Title
- Quantum-like behavior without quantum physics I: Kinematics of neural-like systems..
- Creator
-
Selesnick, S A, Rawling, J P, Piccinini, Gualtiero
- Abstract/Description
-
Recently there has been much interest in the possible quantum-like behavior of the human brain in such functions as cognition, the mental lexicon, memory, etc., producing a vast literature. These studies are both empirical and theoretical, the tenets of the theory in question being mainly, and apparently inevitably, those of quantum physics itself, for lack of other arenas in which quantum-like properties are presumed to obtain. However, attempts to explain this behavior on the basis of...
Show moreRecently there has been much interest in the possible quantum-like behavior of the human brain in such functions as cognition, the mental lexicon, memory, etc., producing a vast literature. These studies are both empirical and theoretical, the tenets of the theory in question being mainly, and apparently inevitably, those of quantum physics itself, for lack of other arenas in which quantum-like properties are presumed to obtain. However, attempts to explain this behavior on the basis of actual quantum physics going on at the atomic or molecular level within some element of brain or neuronal anatomy (other than the ordinary quantum physics that underlies everything), do not seem to survive much scrutiny. Moreover, it has been found empirically that the usual physics-like Hilbert space model seems not to apply in detail to human cognition in the large. In this paper we lay the groundwork for a theory that might explain the provenance of quantum-like behavior in complex systems whose internal structure is essentially hidden or inaccessible. The approach is via the logic obeyed by these systems which is similar to, but not identical with, the logic obeyed by actual quantum systems. The results reveal certain effects in such systems which, though quantum-like, are not identical to the kinds of quantum effects found in physics. These effects increase with the size of the system.
Show less - Date Issued
- 2017-09-01
- Identifier
- FSU_pmch_28707197, 10.1007/s10867-017-9460-9, PMC6104899, 28707197, 28707197, 10.1007/s10867-017-9460-9
- Format
- Citation
- Title
- The Three Body Coulomb Problem: An Examination of Bound States and Stability as a Function of Individual Masses.
- Creator
-
Kondyukov, Grigoriy, Department of Physics
- Abstract/Description
-
In this work we study quantum non-relativistic three-body systems interacting via Coulomb potential. The solution in this undertaking utilizes and expansion of wave functions using products of Laguerre polynomial, followed by variational adjustment of coordinate scaling parameters. The method used in this study was originally developed by C.L. Pekeris and its advantage stems from recursion relations available for Laguerre polynomial. We developed an implementation of modular C++ code for...
Show moreIn this work we study quantum non-relativistic three-body systems interacting via Coulomb potential. The solution in this undertaking utilizes and expansion of wave functions using products of Laguerre polynomial, followed by variational adjustment of coordinate scaling parameters. The method used in this study was originally developed by C.L. Pekeris and its advantage stems from recursion relations available for Laguerre polynomial. We developed an implementation of modular C++ code for solving the three-body problem numerically with high precision, improving upon previous works. The stability of three-body systems as well as excitation energies of excited states and ionization energy in the parameter space of charges and masses is investigated.
Show less - Date Issued
- 2015
- Identifier
- FSU_migr_uhm-0502
- Format
- Thesis
- Title
- Letter to Dr. Dirac, February 13, 1928.
- Creator
-
Heisenberg, Werner
- Abstract/Description
-
Letter sent from Leipzig by Werner Heisenberg to Dr. Dirac discussing the possibility of working together in Chicago in the fall as well as their recent work and theories.
- Identifier
- FSU_MSS_1989009_B22_F11_08
- Format
- Set of related objects