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Full-Text Articles in Quantum Physics
Entanglement In The Hawking Effect: From Astrophysical To Optical Black Holes, Dimitrios Kranas
Entanglement In The Hawking Effect: From Astrophysical To Optical Black Holes, Dimitrios Kranas
LSU Doctoral Dissertations
The Hawking effect is an exciting physical prediction lying at the intersection of the two most successful theories of the past century, namely, Einstein’s theory of relativity and quantum mechanics. In this dissertation, we put special emphasis on the quantum aspects of the Hawking process encoded in the entanglement shared by the emitted fluxes of created quanta. In particular, we employ sharp tools from quantum information theory to quantify the entanglement produced by the Hawking effect throughout the black hole evaporation process. Our framework allows us to extend previous calculations of entanglement to a larger set of cases, for instance, …
Adaptive Quantum Information Processing In Non-Equilibrium Environments, Arshag Danageozian
Adaptive Quantum Information Processing In Non-Equilibrium Environments, Arshag Danageozian
LSU Doctoral Dissertations
Solid state and condensed matter systems, such as diamond impurities, superconductors, quantum dots, and ion traps, constitute important physical platforms for various applications in quantum information processing (QIP). However, it has consistently been shown that all such modern platforms suffer from non-equilibrium behavior on timescales that are relevant for many important QIP tasks. The causes range from intrinsic non-equilibrium dynamics (e.g. in diamond) to the presence of various impurities with their own internal dynamics (e.g. in superconductors and quantum dots) or variations in the control fields used to stabilize the quantum matter (e.g. in ion traps). When reserving degrees of …
A Menagerie Of Symmetry Testing Quantum Algorithms, Margarite Lynn Laborde
A Menagerie Of Symmetry Testing Quantum Algorithms, Margarite Lynn Laborde
LSU Doctoral Dissertations
In Chapter 1, we establish the mathematical background used throughout this thesis. We review concepts from group and representation theory. We further establish fundamental concepts from quantum information. This will allow us to then define the different notions of symmetry necessary in the following chapters. In Chapter 2, we investigate Hamiltonian symmetries. We propose quantum algorithms capable of testing whether a Hamiltonian exhibits symmetry with respect to a group. Furthermore, we show that this algorithm is that this algorithm is DQC1-Complete. Finally, we execute one of our symmetry-testing algorithms on existing quantum computers for simple examples. In Chapter 3, we …