Optimal parallel quantum query algorithms
... find distinct i1 , . . . , ik ∈ [n] such that xi1 = · · · = xik , and the k-sum problem, where the objective is to find distinct i1 , . . . , ik ∈ [n] such that xi1 + · · · + xik = 0 mod q. Ambainis’s approach solves both problems using O(nk/(k+1) ) quantum queries. Recently, Belovs gave a o(n3/4 ) ...
... find distinct i1 , . . . , ik ∈ [n] such that xi1 = · · · = xik , and the k-sum problem, where the objective is to find distinct i1 , . . . , ik ∈ [n] such that xi1 + · · · + xik = 0 mod q. Ambainis’s approach solves both problems using O(nk/(k+1) ) quantum queries. Recently, Belovs gave a o(n3/4 ) ...
manuscript - University of Hertfordshire
... Eq. (2), they are pinned to the zero lines of the Wigner function, but occur off the x axis, travel long distances and merge with or split from other stagnation points, see Figs. 4 and 5. For the Caticha potential, we observe a string of vortices with alternating handedness aligned in the p directio ...
... Eq. (2), they are pinned to the zero lines of the Wigner function, but occur off the x axis, travel long distances and merge with or split from other stagnation points, see Figs. 4 and 5. For the Caticha potential, we observe a string of vortices with alternating handedness aligned in the p directio ...
1 - Hal-SHS
... distributions. (At this time they were given from experimental data. They would be calculable theoretically only with quantum field theory, shortly after the quantum mechanics formulation was obtained 18). The evidence for attributing radiation (defined by its frequency and wave length) both an ener ...
... distributions. (At this time they were given from experimental data. They would be calculable theoretically only with quantum field theory, shortly after the quantum mechanics formulation was obtained 18). The evidence for attributing radiation (defined by its frequency and wave length) both an ener ...
doc - StealthSkater
... the vertex of Feynman diagram would be in question in the sense that 3 string worldsheets would be glued together along their 1-dimensional ends in the vertex. This generalizes similar description for gauge interactions using Feynman diagrams. In the microscopic description, point-like particles ar ...
... the vertex of Feynman diagram would be in question in the sense that 3 string worldsheets would be glued together along their 1-dimensional ends in the vertex. This generalizes similar description for gauge interactions using Feynman diagrams. In the microscopic description, point-like particles ar ...
on the canonical formulation of electrodynamics and wave mechanics
... deal on the theory of dynamics, in particular, the Hamiltonian approach to dynamics and its applications in electrodynamics and atomic and molecular collisions. I also learned a new appreciation for scientific computing, of which I was previously ignorant. Most importantly, Prof. Öhrn and Dr. Deume ...
... deal on the theory of dynamics, in particular, the Hamiltonian approach to dynamics and its applications in electrodynamics and atomic and molecular collisions. I also learned a new appreciation for scientific computing, of which I was previously ignorant. Most importantly, Prof. Öhrn and Dr. Deume ...
Driven Problems in Quantum and Classical Mechanics with Floquet
... both with and without analytical solutions, in both classical and quantum mechanics, will be examined and their general behaviours indentified with the help of Floquet theory. Floquet multipliers will be used to show stability of a classical system via Poincaré sections. The stability of various dr ...
... both with and without analytical solutions, in both classical and quantum mechanics, will be examined and their general behaviours indentified with the help of Floquet theory. Floquet multipliers will be used to show stability of a classical system via Poincaré sections. The stability of various dr ...
Complete Axiomatizations for Quantum Actions
... quantum systems, in the form of a relational structure, of the type known in Computer Science as “labeled transition systems”, and in modal logic as “(multimodal) Kripke frames”. It takes as fundamental the notion of (quantum) state and represents quantum actions as relations between states. This i ...
... quantum systems, in the form of a relational structure, of the type known in Computer Science as “labeled transition systems”, and in modal logic as “(multimodal) Kripke frames”. It takes as fundamental the notion of (quantum) state and represents quantum actions as relations between states. This i ...
The fractional quantum Hall effect in wide quantum wells
... the first subband (1SB). (b) The Hall resistance for exemplary densities shows a vanishing of the plateau at total filling 5/2 upon population of the second subband. Yet, the plateau corresponding to 5/2-filling of the first subband alone is preserved. Magnetotransport experiments were carried out o ...
... the first subband (1SB). (b) The Hall resistance for exemplary densities shows a vanishing of the plateau at total filling 5/2 upon population of the second subband. Yet, the plateau corresponding to 5/2-filling of the first subband alone is preserved. Magnetotransport experiments were carried out o ...
Short-Lived Lattice Quasiparticles for Strongly Interacting Fluids
... νL . This simple example highlights the necessity of operating with very short-lived quasiparticles, where short means very small as compared with the physical free-streaming and collisional time scales, ∆t and τ , both O(1) in LB units. These quasiparticles function pretty well in the discrete worl ...
... νL . This simple example highlights the necessity of operating with very short-lived quasiparticles, where short means very small as compared with the physical free-streaming and collisional time scales, ∆t and τ , both O(1) in LB units. These quasiparticles function pretty well in the discrete worl ...
quantum dynamics of integrable spin chains
... The extension to local observables was done in the study of impurity models. Both Tjon [27], and Abraham, Barouch, Gallavotti and Martin-Löf [1, 2, 3] have found the same kind of behavior for the XX model with an impurity. So, definitely, this unusual behavior of such systems could be discouraging, ...
... The extension to local observables was done in the study of impurity models. Both Tjon [27], and Abraham, Barouch, Gallavotti and Martin-Löf [1, 2, 3] have found the same kind of behavior for the XX model with an impurity. So, definitely, this unusual behavior of such systems could be discouraging, ...
Order date - Calicut University
... Differentiation – The derivative of a real function, Mean Value theorems, The continuity of Derivatives, L Hospital’s Rule, Derivatives of Higher Order, Taylor’s Theorem, Differentiation of Vector – valued functions. The Riemann – Stieltjes Integral, - Definition and Existence of the integral, prope ...
... Differentiation – The derivative of a real function, Mean Value theorems, The continuity of Derivatives, L Hospital’s Rule, Derivatives of Higher Order, Taylor’s Theorem, Differentiation of Vector – valued functions. The Riemann – Stieltjes Integral, - Definition and Existence of the integral, prope ...
- Philsci
... 1932), in order to determine whether quantum mechanics has an appropriate counterpart to classical chaos, such as sensitive dependency on initial conditions (in the classical sense of exponentially diverging trajectories).8 ...
... 1932), in order to determine whether quantum mechanics has an appropriate counterpart to classical chaos, such as sensitive dependency on initial conditions (in the classical sense of exponentially diverging trajectories).8 ...
