FEATURE ARTICLE
... Scheikundig Laboratorium der Vrije UniVersiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands ReceiVed: January 13, 1997; In Final Form: April 3, 1997X ...
... Scheikundig Laboratorium der Vrije UniVersiteit, De Boelelaan 1083, 1081 HV Amsterdam, The Netherlands ReceiVed: January 13, 1997; In Final Form: April 3, 1997X ...
On a measurement-free quantum lambda calculus with classical
... classical case. In addition to the concrete technical problems (up to now it has been difficult to build even very simple quantum circuits), there is the necessity of developing adequate calculi of quantum computable functions. In particular, it is not clear how the idea of having functions as ‘first-c ...
... classical case. In addition to the concrete technical problems (up to now it has been difficult to build even very simple quantum circuits), there is the necessity of developing adequate calculi of quantum computable functions. In particular, it is not clear how the idea of having functions as ‘first-c ...
Scattering with longitudinally coherent matter beams F. Robicheaux
... interpretation: the scattering probability is the average value of the inelastic cross section 具 b←a 典 , times the time integrated current density 共which is 1 particle over an area L x L y ). Note that the transition probability only depends on 兩 A(k) 兩 2 which is the probability density for the i ...
... interpretation: the scattering probability is the average value of the inelastic cross section 具 b←a 典 , times the time integrated current density 共which is 1 particle over an area L x L y ). Note that the transition probability only depends on 兩 A(k) 兩 2 which is the probability density for the i ...
Current fluctuations in single electron devices
... interaction affects the current noise in a single electron device. We employ the Luttinger liquid description to treat electronic interaction in one dimension and an Anderson-Holstein-type Hamiltonian to harness the electron phonon interaction. We focus on the sequential tunneling regime and we calc ...
... interaction affects the current noise in a single electron device. We employ the Luttinger liquid description to treat electronic interaction in one dimension and an Anderson-Holstein-type Hamiltonian to harness the electron phonon interaction. We focus on the sequential tunneling regime and we calc ...
An information-theoretic perspective on the foundations of
... This thesis contains the work of the author he did as a research assistant from the summer of 2009 to now, under the supervision of Professor John Boccio of the Department of Physics and Astronomy at Swarthmore College. The nature of the work is along the lines of a "library thesis", as it aims to s ...
... This thesis contains the work of the author he did as a research assistant from the summer of 2009 to now, under the supervision of Professor John Boccio of the Department of Physics and Astronomy at Swarthmore College. The nature of the work is along the lines of a "library thesis", as it aims to s ...
Quantum computing implementations with neutral
... former, such a scheme employs molecular ensembles to store the quantum information, whereas the superconducting solid-state circuit is utilized for processing it. This quantum hardware paradigm brings the best features of the atomic, molecular, and solid-state systems together: the excellent coheren ...
... former, such a scheme employs molecular ensembles to store the quantum information, whereas the superconducting solid-state circuit is utilized for processing it. This quantum hardware paradigm brings the best features of the atomic, molecular, and solid-state systems together: the excellent coheren ...
Modeling and Control of Quantum Systems: An Introduction
... Y admits a representation Y = j yj Πj , where {yj } ⊂ R are the eigenvalues of Y and the corresponding orthogonal projectors {Πj } form P a resolution of the identity, namely Πk Πj = δkj Πj , j Πj = I. The eigenvalues {yj } then represent the possible outcomes of a measurement of Y , and the Πj , wh ...
... Y admits a representation Y = j yj Πj , where {yj } ⊂ R are the eigenvalues of Y and the corresponding orthogonal projectors {Πj } form P a resolution of the identity, namely Πk Πj = δkj Πj , j Πj = I. The eigenvalues {yj } then represent the possible outcomes of a measurement of Y , and the Πj , wh ...
Compendium of Theoretical Physics
... the second chapter, Electrodynamics. In contrast to many other textbooks, we start with Maxwell’s equations in their most general form. This allows us immediately to see very clearly the structure of this theory. We quickly find the general solutions to Maxwell’s equations using the very important co ...
... the second chapter, Electrodynamics. In contrast to many other textbooks, we start with Maxwell’s equations in their most general form. This allows us immediately to see very clearly the structure of this theory. We quickly find the general solutions to Maxwell’s equations using the very important co ...
From Quantum Gates to Quantum Learning
... states, and are characterized by a wave function . As an example (), it is possible to have light polarizations other than purely horizontal or vertical, such as slant 45 corresponding to the linear superposition of . In ternary logic, the notation for the superposition is , where , , and are c ...
... states, and are characterized by a wave function . As an example (), it is possible to have light polarizations other than purely horizontal or vertical, such as slant 45 corresponding to the linear superposition of . In ternary logic, the notation for the superposition is , where , , and are c ...
Ground-state properties of sub-Ohmic spin
... off-diagonal coupling is a challenging problem from the theoretical point of view. Recent studies [16] utilized the Davydov D1 variational Ansatz to investigate the quantum phase transition of the spin-boson model in the sub-Ohmic regime with the spin coupled diagonally and off-diagonally to a commo ...
... off-diagonal coupling is a challenging problem from the theoretical point of view. Recent studies [16] utilized the Davydov D1 variational Ansatz to investigate the quantum phase transition of the spin-boson model in the sub-Ohmic regime with the spin coupled diagonally and off-diagonally to a commo ...
Including quantum effects in the dynamics of complex „i.e., large
... the difference between the two paths兲. The importance of the above derivation is not the result itself, for as noted, the classical Wigner approximation has been around a long time, having been obtained from a variety of approaches. The important point is realizing that the classical Wigner model is ...
... the difference between the two paths兲. The importance of the above derivation is not the result itself, for as noted, the classical Wigner approximation has been around a long time, having been obtained from a variety of approaches. The important point is realizing that the classical Wigner model is ...
2012) all (F I
... Day Date Topics Wed 23 Jan Symmetries, conservation laws, and degeneracies; SO(4) and Pauli’s solution to the hydrogen atom Continuous and discrete symmetries Thu 24 Jan Space-inversion (parity) symmetry and applications in nature Mon 28 Jan Lattice translation as a discrete symmetry and Bloch’s Th ...
... Day Date Topics Wed 23 Jan Symmetries, conservation laws, and degeneracies; SO(4) and Pauli’s solution to the hydrogen atom Continuous and discrete symmetries Thu 24 Jan Space-inversion (parity) symmetry and applications in nature Mon 28 Jan Lattice translation as a discrete symmetry and Bloch’s Th ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.