 
									
								
									Introduction to ”Topological Geometrodynamics: an Overview
									
... time of about half decade [K1]. The basic vision and its relationship to existing theories is now rather well understood. 1. Space-times are representable as 4-surfaces in the 8-dimensional imbedding space H = M 4 × CP2 , where M 4 is 4-dimensional (4-D) Minkowski space and CP2 is 4-D complex projec ...
                        	... time of about half decade [K1]. The basic vision and its relationship to existing theories is now rather well understood. 1. Space-times are representable as 4-surfaces in the 8-dimensional imbedding space H = M 4 × CP2 , where M 4 is 4-dimensional (4-D) Minkowski space and CP2 is 4-D complex projec ...
									Quantum Hall Effects and Related Topics International Symposium
									
... Electrons moving in a periodic electric potential form Bloch energy bands where the mass of electrons are effectively changed. In a strong magnetic field, the cyclotron orbits of free electrons are quantized and Landau levels forms with a massive degeneracy within. In 1976, Hofstadter showed that for ...
                        	... Electrons moving in a periodic electric potential form Bloch energy bands where the mass of electrons are effectively changed. In a strong magnetic field, the cyclotron orbits of free electrons are quantized and Landau levels forms with a massive degeneracy within. In 1976, Hofstadter showed that for ...
									Document
									
... wavelengths than visible light. • These smaller wavelengths allow a much clearer enlarged image of a very small object, such as this pollen grain, than is possible with an ordinary microscope. ...
                        	... wavelengths than visible light. • These smaller wavelengths allow a much clearer enlarged image of a very small object, such as this pollen grain, than is possible with an ordinary microscope. ...
									Interface between path and orbital angular momentum
									
... and thus into an OAM state (Fig. 1 inset). A continuous lateral movement of the slit leads to integer OAM modes at multiples of 2p and fractional OAM in intermediate positions (see Fig. 1 and Supplementary Movie 1). To define the lateral position states, we overfill the slit with a Gaussian beam. Henc ...
                        	... and thus into an OAM state (Fig. 1 inset). A continuous lateral movement of the slit leads to integer OAM modes at multiples of 2p and fractional OAM in intermediate positions (see Fig. 1 and Supplementary Movie 1). To define the lateral position states, we overfill the slit with a Gaussian beam. Henc ...
									Supmech: the Geometro-statistical Formalism Underlying Quantum
									
... Highlights of the developments during the past four decades are : Progress in gauge theories of fundamental interactions [4]; String theory [5,6]; Loop quantum gravity (LQG) [7,8]; Progress in algebraic QFT [9-13] and in Constructive field theory [14,15] and some developments relating to the quantum ...
                        	... Highlights of the developments during the past four decades are : Progress in gauge theories of fundamental interactions [4]; String theory [5,6]; Loop quantum gravity (LQG) [7,8]; Progress in algebraic QFT [9-13] and in Constructive field theory [14,15] and some developments relating to the quantum ...
									Time-Space Efficient Simulations of Quantum Computations
									
... literature, and present a model that addresses all the issues we raise and is capable of efficiently simulating all currently envisioned realizations of quantum computing. We point out that our arguments for Theorem 1 and Theorem 2 are very robust with respect to the details of the model. However, o ...
                        	... literature, and present a model that addresses all the issues we raise and is capable of efficiently simulating all currently envisioned realizations of quantum computing. We point out that our arguments for Theorem 1 and Theorem 2 are very robust with respect to the details of the model. However, o ...
									Computational Methods for Simulating Quantum Computers
									
... Computer simulation has since long been accepted as the third methodology in many branches of science and engineering [34]. Conventional computers can be used to simulate quantum computers that are relative small (e.g. 24 qubits) but are significantly larger than the experimental machines that have b ...
                        	... Computer simulation has since long been accepted as the third methodology in many branches of science and engineering [34]. Conventional computers can be used to simulate quantum computers that are relative small (e.g. 24 qubits) but are significantly larger than the experimental machines that have b ...
									Quantum Annealing with Markov Chain Monte Carlo Simulations
									
... further tested on a 512-qubit D-Wave device to distinguish (or associate) its input–output behavior from (or with) those obtained from the classical and quantum annealing models in terms of the population ratio of the isolated and clustered ground states. Rønnow et al. (2014) reported to find no evi ...
                        	... further tested on a 512-qubit D-Wave device to distinguish (or associate) its input–output behavior from (or with) those obtained from the classical and quantum annealing models in terms of the population ratio of the isolated and clustered ground states. Rønnow et al. (2014) reported to find no evi ...
 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									