Quantum Algorithms and the Genetic Code
... • The iterative steps of the algorithm can be viewed as the discretised evolution of the state vector in the Hilbert space, governed by a Hamiltonian containing two terms, |bihb| and |sihs|. The former represents a potential energy attracting the state towards |bi, while the latter represents a kine ...
... • The iterative steps of the algorithm can be viewed as the discretised evolution of the state vector in the Hilbert space, governed by a Hamiltonian containing two terms, |bihb| and |sihs|. The former represents a potential energy attracting the state towards |bi, while the latter represents a kine ...
Theoretische und Mathematische Grundlagen der Physik
... Crumpling a sheet of paper leads to the formation of complex folding patterns over several length scales. This can be understood on the basis of the interplay of a nonconvex elastic energy, which penalizes local stretching, and a small singular perturbation, which penalizes high curvature. We obtain ...
... Crumpling a sheet of paper leads to the formation of complex folding patterns over several length scales. This can be understood on the basis of the interplay of a nonconvex elastic energy, which penalizes local stretching, and a small singular perturbation, which penalizes high curvature. We obtain ...
Simple, accurate electrostatics-based formulas for calculating
... density functional theory (DFT) calculations, such as we collaborated in performing as part of an earlier study [5] of fullerene capacitances. Obtaining accurate electron a⌅nities is particularly challenging, from experiment or from theory. In this work, though, we discover that we are able to treat ...
... density functional theory (DFT) calculations, such as we collaborated in performing as part of an earlier study [5] of fullerene capacitances. Obtaining accurate electron a⌅nities is particularly challenging, from experiment or from theory. In this work, though, we discover that we are able to treat ...
Group velocity and phase velocity
... Let us conclude this article with a comment. We said that the Fourier mode of the wave packet is peaked around certain k, which we called k0 . Nevertheless, it is certainly true that there is not a single mode k0 but other modes around k0 . (Otherwise, the particle the wave function describes cannot ...
... Let us conclude this article with a comment. We said that the Fourier mode of the wave packet is peaked around certain k, which we called k0 . Nevertheless, it is certainly true that there is not a single mode k0 but other modes around k0 . (Otherwise, the particle the wave function describes cannot ...
The Other Meaning of Special Relativity
... Now we are in a position to appreciate what is special about light. Ordinarily we do not measure distances and times by propagating waves back and forth. Instead we use material clocks and rulers. The amazing thing about material clocks and rulers is that the resulting distance and time measurements ...
... Now we are in a position to appreciate what is special about light. Ordinarily we do not measure distances and times by propagating waves back and forth. Instead we use material clocks and rulers. The amazing thing about material clocks and rulers is that the resulting distance and time measurements ...
Programming with Quantum Communication
... In this work the analysis of quantum communication protocols is based on quantum predicative programming ([22,23,21]), a recent generalisation of the wellestablished predicative programming ([14,15]). It supports the style of program development in which each programming step is proved correct as it ...
... In this work the analysis of quantum communication protocols is based on quantum predicative programming ([22,23,21]), a recent generalisation of the wellestablished predicative programming ([14,15]). It supports the style of program development in which each programming step is proved correct as it ...
Path integrals in quantum mechanics
... by Dirac. Nowadays it is useful to know both formulations, as depending on the problem at hands, one may find technical advantages in using one with respect to the other. In worldline approaches one often uses the operatorial formulation to define the problem, and path integrals to calculate the ans ...
... by Dirac. Nowadays it is useful to know both formulations, as depending on the problem at hands, one may find technical advantages in using one with respect to the other. In worldline approaches one often uses the operatorial formulation to define the problem, and path integrals to calculate the ans ...
Entanglement of Atoms via Cold Controlled Collisions
... (7) corresponds to a fundamental two-qubit gate [4]. In order to illustrate to what extent the mechanism presented above is able to perform this ideal gate, we have carried out a numerical study in three dimensions. We have integrated the time-dependent Schrödinger equation with the Hamiltonian (1). ...
... (7) corresponds to a fundamental two-qubit gate [4]. In order to illustrate to what extent the mechanism presented above is able to perform this ideal gate, we have carried out a numerical study in three dimensions. We have integrated the time-dependent Schrödinger equation with the Hamiltonian (1). ...
Introductory quantum mechanics
... becomes fuzzy when it’s represented by its matter wave. We can no more tell for sure where it is exactly located. Recall that in the case of conventional wave physics, |field amplitude|2 is proportional to the intensity of the wave). Now, what does |Y |2 physically mean? ...
... becomes fuzzy when it’s represented by its matter wave. We can no more tell for sure where it is exactly located. Recall that in the case of conventional wave physics, |field amplitude|2 is proportional to the intensity of the wave). Now, what does |Y |2 physically mean? ...
Computational Power of the Quantum Turing Automata
... work will eventually go. The first results discovered appeared to suggest that quantum computation was significantly faster than classical computation. Among these was the discovery by Deutsch, Jozsa, Berthiaume, and Brassard, of oracles under which problems could be found for which a quantum machin ...
... work will eventually go. The first results discovered appeared to suggest that quantum computation was significantly faster than classical computation. Among these was the discovery by Deutsch, Jozsa, Berthiaume, and Brassard, of oracles under which problems could be found for which a quantum machin ...
THE C∗-ALGEBRAIC FORMALISM OF QUANTUM MECHANICS
... to be equivalent to the more mathematically convenient Hamiltonian formalism. However, as is usually done with quantum mechanics, we immediately begin by introducing the typical axioms (i.e., where states are elements of a Hilbert space and observables are self-adjoint operators on that space), whic ...
... to be equivalent to the more mathematically convenient Hamiltonian formalism. However, as is usually done with quantum mechanics, we immediately begin by introducing the typical axioms (i.e., where states are elements of a Hilbert space and observables are self-adjoint operators on that space), whic ...
A Quantum Algorithm for Finding a Hamilton Circuit
... satis es the properties, then D is a Hamilton circuit of G, otherwise it is not. Obviously this step can be completed in polynomial steps. The p mtotal number of steps is the order of (11mn ; 3m) 2 if we use Grover's algorithm in searching the solution, and can be polynomial if nonlinear quantum sea ...
... satis es the properties, then D is a Hamilton circuit of G, otherwise it is not. Obviously this step can be completed in polynomial steps. The p mtotal number of steps is the order of (11mn ; 3m) 2 if we use Grover's algorithm in searching the solution, and can be polynomial if nonlinear quantum sea ...
Chapter 8 Name MULTIPLE CHOICE. Choose the one alternative
... 10) Two equal forces are applied to a door at the doorknob. The first force is applied perpendicular to the door; the second force is applied at 30° to the plane of the door. Which force exerts the greater torque? A) the first applied perpendicular to the door B) the second applied at an angle C) bo ...
... 10) Two equal forces are applied to a door at the doorknob. The first force is applied perpendicular to the door; the second force is applied at 30° to the plane of the door. Which force exerts the greater torque? A) the first applied perpendicular to the door B) the second applied at an angle C) bo ...
