A5053268783- Quantum Mechanics and Applications
- Algebraic and Geometric Analysis
- Quantum Information and Cryptography
- Relativity and Gravitational Theory
- Quantum Computing Algorithms and Architecture
- Noncommutative and Quantum Gravity Theories
- Cosmology and Gravitation Theories
- Advanced Thermodynamics and Statistical Mechanics
- Chaos-based Image/Signal Encryption
- Biofield Effects and Biophysics
- Game Theory and Applications
- Fractal and DNA sequence analysis
- GaN-based semiconductor devices and materials
- Experimental and Theoretical Physics Studies
- Quantum and electron transport phenomena
- Radio Frequency Integrated Circuit Design
- Matrix Theory and Algorithms
- Quantum-Dot Cellular Automata
- Magnetic properties of thin films
- Wireless Communication Security Techniques
- Semiconductor Quantum Structures and Devices
- Advanced Mathematical Theories and Applications
- Terahertz technology and applications
- Superconducting and THz Device Technology
- Surface and Thin Film Phenomena
The University of Adelaide
2010-2023
HRL Laboratories (United States)
2020-2021
University of Oslo
2015
The nonvolatile memory property of a memristor enables the realization new methods for variety computational engines ranging from innovative memristive-based neuromorphic circuitry through to advanced applications. nanometer-scale feature device creates opportunity circuits that in some cases are not possible or have inefficient present and established design domain. nature boundary, complexity ionic transport tunneling mechanism, nanoscale introduces challenges modeling, characterization,...
In this paper, we explicate the suggested benefits of Clifford's geometric algebra (GA) when applied to field electrical engineering. Engineers are always interested in keeping formulas as simple or compact possible, and illustrate that does provide such a simplified representation many cases. We also demonstrate an additional structural check provided by GA for addition usual checking physical dimensions. Naturally, there is initial learning curve applying new method, but it appears be...
We report scaled, graded-channel AlGaN/GaN HEMTs with an extrinsic f <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">T</sub> and xmlns:xlink="http://www.w3.org/1999/xlink">MAX</sub> of 170 GHz 363 GHz, which is the highest in emerging GaN HEMTs. At 50-nm gate length, ·Lg 8.5 GHz·μm comparable to that conventional scaled fabricated together. low DC power, show a higher than HEMT same length. The devices also exhibit 2 dB improvement gain at bias,...
Spin-based silicon quantum dots are an attractive qubit technology for information processing with respect to coherence time, control, and engineering. Here we present exchange-only Si device platform that combines the throughput of CMOS-like wafer versatility direct-write lithography. The technology, which coin "SLEDGE", features dot-shaped gates patterned simultaneously on one topographical plane subsequently connected by vias interconnect metal lines. process design enables nontrivial...
The authors report on highly scaled 60 nm gate length graded‐channel AlGaN/GaN high electron mobility transistors (HEMTs) with a record power added efficiency (PAE) of 75% at 2.1 W/mm density Vdd = 10 V and the PAE 65% 3.0 30 GHz 14 V. Under two‐tone measurement, HEMTs demonstrated similar performance peak >70% GHz. This novel channel design shows great promise for high‐efficiency millimetre‐wave (mmW) amplifiers up to 3 RF operation.
The promise of quantum computation is contingent upon physical qubits with both low gate error rate and broad scalability. Silicon-based spins are a leading qubit platform, but demonstrations to date have not utilized fabrication processes capable extending arrays in two dimensions while maintaining complete control individual spins. Here, we implement an interconnect process, common semiconductor manufacturing, multiple back-end-of-line layers show extendable two-dimensional array fully...
As is well known, the common elementary functions defined over real numbers can be generalized to act not only complex number field but also skew (non-commuting) of quaternions. In this paper, we detail a extended Clifford multivectors, in both two and three dimensions. Complex numbers, quaternions Cartesian vectors described by various components within multivector from our results are able demonstrate new inter-relationships between these algebraic systems. One key relationship that...
The -player quantum games are analyzed that use an Einstein-Podolsky-Rosen (EPR) experiment, as the underlying physical setup. In this setup, a player’s strategies not unitary transformations in alternate game-theoretic frameworks, but classical choice between two directions along which spin or polarization measurements made. players’ thus remain identical to their mixed-strategy version of game. EPR setting game reduces itself corresponding when shared state reaches zero entanglement. We...
A game-theoretic setting provides a mathematical basis for analysis of strategic interaction among competing agents and insights into both classical quantum decision theory questions choice. An outstanding question is to understand the conditions under which can be transformed game, there an equivalence. In this paper, we consider games as those that allow non-factorizable probabilities. We discuss two approaches obtaining game study outcome such games. demonstrate how standard version...
There are a wide variety of different vector formalisms currently utilized in engineering and physics. For example, Gibbs' three-vectors, Minkowski four-vectors, complex spinors quantum mechanics, quaternions used to describe rigid body rotations vectors defined Clifford geometric algebra. With such range use, it thus appears that there is as yet no general agreement on formalism suitable for science whole. This surprising, that, one the primary goals 19th century was suitably 3-D space....
We analyze the quantum penny flip game using geometric algebra and so determine all possible unitary transformations which enable player Q to implement a winning strategy. Geometric provides clear visual picture of its strategies, as well providing simple direct derivation transformation, we demonstrate can be parametrized by two angles. For comparison derive same general strategy conventional means density matrices.
We use the formalism of Clifford Geometric Algebra (GA) to develop an analysis quantum versions three-player non-cooperative games. The games we explore are played in Einstein-Podolsky-Rosen (EPR) type setting. In this setting, players' strategy sets remain identical ones mixed-strategy version classical game that is obtained as a proper subset corresponding game. Using GA investigate outcome realization by players sharing GHZ state, W and mixture states. As specific example, study...
Minkowski famously introduced the concept of a space-time continuum in 1908, merging three dimensions space with an imaginary time dimension [Formula: see text], unit producing correct spacetime distance and results Einstein's then recently developed theory special relativity, thus providing explanation for terms structure time. As alternative to planar two one dimension, we replace Clifford bivector text] plane that also squares minus one, but which can be included without addition extra as...
The framework for playing quantum games in an Einstein-Podolsky-Rosen (EPR) type setting is investigated using the mathematical formalism of Clifford geometric algebra (GA). In this setting, players' strategy sets remain identical to ones classical mixed-strategy version game, which then obtained as proper subset corresponding game. As examples, GA we analyze Prisoners' Dilemma and Stag Hunt when played EPR setting.
This paper presents an approach to classification of substances based on their terahertz spectra. We use geometric algebra provide a concise mathematical means for attacking the problem in coordinate-free form. For first time, this allows us perform independently dispersion and, hence, transmission path length through sample. Finally, we validate with experimental data. In principle, transformation can be extended all types pulsed signals, such as microwaves or even acoustic signals field...
We report high-speed graded-channel GaN HEMTs with 10 dB OIP3 improvement over current conventional AlGaN/GaN at the same DC power. Thus, demonstrated a record OIP3/Pdc of 17 - 20 30 GHz. Also, these PAE 75 % 1.2 W/mm output power density. The measured and density show great reported other mm-wave T-gated HEMT devices.
Abstract The four dimensional spacetime continuum, as first conceived by Minkowski, has become the dominant framework within which to describe physical laws. In this paper, we show how four-dimensional structure is a natural property of three-dimensional space, if modeled with Clifford geometric algebra <?CDATA $C{\ell }({{\mathfrak{R}}}^{3})$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>C</mml:mi> <mml:mi mathvariant="italic">ℓ</mml:mi> <mml:mo...
Quantum phase estimation is one of the key algorithms in field quantum computing, but up until now, only approximate expressions have been derived for probability error. We revisit these derivations, and find that by ensuring symmetry error definitions, an exact formula can be found. This new approach may also value solving other related problems where expected calculated. Expressions two special cases are developed, limit as number qubits computer approaches infinity extra added to improve...
A new simplified approach for teaching electromagnetism is presented using the formalism of geometric algebra (GA) which does not require vector calculus or tensor index notation, thus producing a much more accessible presentation students. The four-dimensional spacetime proposed completely symmetrical between space and time dimensions, fulfilling Minkowski's original vision. In order to improve student reception we also focus on forces conservation energy momentum, take very simple form in...
The proper description of time remains a key unsolved problem in science. Newton conceived as absolute and universal which {\it `flows equably without relation to anything external'}. In the nineteenth century, four-dimensional algebraic structure quaternions developed by Hamilton, inspired him suggest that they could provide unified representation space time. With publishing Einstein's theory special relativity these ideas then lead generally accepted Minkowski spacetime formulation 1908....