Simulating 0+1 Dimensional Quantum Gravity on Quantum Computers: Mini-Superspace Quantum Cosmology and the World Line Approach in Quantum Field Theory

Quantum computers are a promising candidate to radically expand computational science through increased computing power and more effective algorithms. In particular quantum computing could have a tremendous impact in the field of quantum cosmology. The goal of quantum cosmology is to describe the evolution of the Universe through the Wheeler-DeWitt equation or path integral methods without having to first formulate a full theory of quantum gravity. The quantum computer provides an advantage in this endeavor because it can perform path integrals in Lorentzian space and does not require constructing contour integrations in Euclidean gravity. Also quantum computers can provide advantages in systems with fermions which are difficult to analyze on classical computers. In this study, we first employed classical computational methods to analyze a Friedmann-Robertson-Walker mini-superspace with a scalar field and visualize the calculated wave function of the Universe for a variety of different values of the spatial curvature and cosmological constant. We them used IBM's Quantum Information Science Kit Python library and the variational quantum eigensolver to study the same systems on a quantum computer. The framework can also be extended to the world line approach to quantum field theory.Comment: 5 pages, 4 figure

Circuit Theory

Contains a report on a research project

Barriers That Influence Adoption of ACL Injury Prevention Programs Among High School Girls’ Soccer Coaches

Click the PDF icon to download the abstract

Stroboscopic Reasearch

Contains reports on one research project

Synthesis and Reactions of Iron and Ruthenium Dinitrogen Complexes

This thesis is primarily concerned with the synthesis and reactions of iron and ruthenium dinitrogen complexes of tripodal phosphine ligands. Of particular interest is the cationic dinitrogen bridged iron complex [(FeH(PP3))2(μ-N2)]2+ 23, containing the tetradentate ligand P(CH2CH2PMe2)3, PP3 1, and its potential for facilitating the reduction of the bound dinitrogen upon treatment with acid. The synthesis of a selection of novel and known tripodal phosphine and amino phosphine ligands is described. New ligands N(CH2CH2CH2PMe2)3 N3P3 7 and P(CH2CH2CH2PiPr2)3 P3Pi3 11 were synthesised by nucleophilic displacement of bromide from the bromoalkylphosphine and bromoalkylamine precursors with the relevant phosphide. A new method for synthesis of known ligand P(CH2CH2CH2PMe2)3 P3P3 19 by the nucleophilic substitution of its chloroalkylphosphine oxide with dimethylphosphide and subsequent reduction is also reported. The reaction of [(FeH(PP3))2(μ-N2)]2+ 23 with base produced the singly deprotonated mixed valence species [(FeH(PP3))(μ-N2)(Fe(PP3))]+ 37 and subsequently the iron(0) dinuclear species (Fe(PP3))2(μ-N2) 38 and mononuclear complex Fe(N2)(PP3) 44. The 15N labelling of complexes has allowed the 15N NMR spectra of 23, 37 and 44 to be reported along with the observation of a long-range 5JP-P coupling across the bridging dinitrogen of 37. Complexes 23 and 37 were also structurally characterised by X-ray crystallography. The treatment of a variety of iron PP3 1 dinitrogen complexes, including the mononuclear species [(Fe(N2)H(PP3)]+ 22, with acid, or base then acid, did not result in the formation of ammonia from reduction of the complexed dinitrogen. The reactions of FeCl2(PP3) 24 and FeClH(PP3) 25 with ammonia and hydrazine afforded the complexes [FeCl(N2H4)(PP3)] 48, [FeH(N2H4)(PP3)] 47, [FeCl(NH3)(PP3)] 49 and [FeH(NH3)(PP3)] 46. Complexes 47 and 46 are considered potential intermediates in any reduction of the dinitrogen ligand of 23 to ammonia. Complexes 49 and 46 were also formed from the decomposition of the hydrazine complexes 48 and 47. The 15N NMR shifts, derived from both the 15N labelling of complexes and from 1H-15N 2D NMR experiments at natural abundance are reported. In addition, complex 47 was characterised by X-ray crystallography. The novel ligand P(CH2CH2PiPr2)3 PPi3 12 was used in the successful synthesis of [FeCl(PPi3)]+ 51 and [RuCl(PPi3)]+ 56. Reduction of 51 and 56 with potassium graphite under dinitrogen afforded the complexes Fe(N2)(PPi3) 52 and Ru(N2)(PPi3) 57 respectively. This is the first report of a Ru(0) dinitrogen complex. Treatment of 52 and 57 with lutidinium tetrafluoroborate resulted in protonation and oxidation of the metal centre to afford the hydrido complexes [Fe(N2)H(PPi3)]+ 53 and [Ru(N2)H(PPi3)]+ 58 respectively. 15N labelled analogues of 52, 53, 57 and 58 were achieved by exchange reactions with 15N2 gas, allowing for analysis by 15N NMR spectroscopy. Species 52, 57 and 58 have also been structurally characterised by X-ray crystallography. Treatment of 52 with excess acid in THF afforded both 53 and the dihydrogen complex [Fe(H2)H(PPi3)]+ 54. The mechanism of formation of 54 probably involves the C-H activation of the solvent THF. The complex cation [RuCl(P3Pi3)]+ 65 was synthesised using the novel ligand P3Pi3 11. A polymeric iron(II) complex, [Fe2Cl4(N3P3)2]n 66, of the tridentate ligand N3P3 7 was also synthesised. Characterisation of both 65 and 66 by X-ray crystallography is reported. (FeCl)2(μ-Cl)2(μ-Pi2)2 68, an unusual bridged dimer of the known ligand CH2(PiPr2)2 Pi2 67, and iron(II) and iron(0) tetramers of the PP3 1 ligand, namely [Fe4Cl4(PP3)5]4+ 71 and Fe4(PP3)5 72 were also characterised by X-ray crystallography

CacheZoom: How SGX Amplifies The Power of Cache Attacks

In modern computing environments, hardware resources are commonly shared, and parallel computation is widely used. Parallel tasks can cause privacy and security problems if proper isolation is not enforced. Intel proposed SGX to create a trusted execution environment within the processor. SGX relies on the hardware, and claims runtime protection even if the OS and other software components are malicious. However, SGX disregards side-channel attacks. We introduce a powerful cache side-channel attack that provides system adversaries a high resolution channel. Our attack tool named CacheZoom is able to virtually track all memory accesses of SGX enclaves with high spatial and temporal precision. As proof of concept, we demonstrate AES key recovery attacks on commonly used implementations including those that were believed to be resistant in previous scenarios. Our results show that SGX cannot protect critical data sensitive computations, and efficient AES key recovery is possible in a practical environment. In contrast to previous works which require hundreds of measurements, this is the first cache side-channel attack on a real system that can recover AES keys with a minimal number of measurements. We can successfully recover AES keys from T-Table based implementations with as few as ten measurements.Comment: Accepted at Conference on Cryptographic Hardware and Embedded Systems (CHES '17

Quantifying Timing Leaks and Cost Optimisation

We develop a new notion of security against timing attacks where the attacker is able to simultaneously observe the execution time of a program and the probability of the values of low variables. We then show how to measure the security of a program with respect to this notion via a computable estimate of the timing leakage and use this estimate for cost optimisation.Comment: 16 pages, 2 figures, 4 tables. A shorter version is included in the proceedings of ICICS'08 - 10th International Conference on Information and Communications Security, 20-22 October, 2008 Birmingham, U

Genomic analysis of post-mating changes in the honey bee queen (Apis mellifera)

<p>Abstract</p> <p>Background</p> <p>The molecular mechanisms underlying the post-mating behavioral and physiological transitions undergone by females have not been explored in great detail. Honey bees represent an excellent model system in which to address these questions because they exhibit a range of "mating states," with two extremes (virgins and egg-laying, mated queens) that differ dramatically in their behavior, pheromone profiles, and physiology. We used an incompletely-mated mating-state to understand the molecular processes that underlie the transition from a virgin to a mated, egg-laying queen. We used same-aged virgins, queens that mated once but did not initiate egg-laying, and queens that mated once and initiated egg-laying.</p> <p>Results</p> <p>Differences in the behavior and physiology among groups correlated with the underlying variance observed in the top 50 predictive genes in the brains and the ovaries. These changes were correlated with either a behaviorally-associated pattern or a physiologically-associated pattern. Overall, these results suggest that the brains and the ovaries of queens are uncoupled or follow different timescales; the initiation of mating triggers immediate changes in the ovaries, while changes in the brain may require additional stimuli or take a longer time to complete. Comparison of our results to previous studies of post-mating changes in <it>Drosophila melanogaster </it>identified common biological processes affected by mating, including stress response and alternative-splicing pathways. Comparison with microarray data sets related to worker behavior revealed no obvious correlation between genes regulated by mating and genes regulated by behavior/physiology in workers.</p> <p>Conclusion</p> <p>Studying the underlying molecular mechanisms of post-mating changes in honey bee queens will not only give us insight into how molecular mechanisms regulate physiological and behavioral changes, but they may also lead to important insights into the evolution of social behavior. Post-mating changes in gene regulation in the brains and ovaries of honey bee queens appear to be triggered by different stimuli and may occur on different timescales, potentially allowing changes in the brains and the ovaries to be uncoupled.</p