Glassy Chimeras Could Be Blind to Quantum Speedup:
... function of hard optimization problems by, in principle, adiabatically quenching quantum fluctuations. Tests performed by different research teams have shown that, indeed, the machine seems to exploit quantum effects. However experiments on a class of random-bond instances have not yet demonstrated ...
... function of hard optimization problems by, in principle, adiabatically quenching quantum fluctuations. Tests performed by different research teams have shown that, indeed, the machine seems to exploit quantum effects. However experiments on a class of random-bond instances have not yet demonstrated ...
Assessing to Learn in the Classroom Sample Questions
... Discussion: In physics, "acceleration" means the rate of change of velocity with respect to time. The more the velocity changes during a certain interval (say, 1 second), the larger the acceleration is. There are three ways in which the velocity can change: (1) the speed increases; (2) the speed dec ...
... Discussion: In physics, "acceleration" means the rate of change of velocity with respect to time. The more the velocity changes during a certain interval (say, 1 second), the larger the acceleration is. There are three ways in which the velocity can change: (1) the speed increases; (2) the speed dec ...
Vibration multistability and quantum switching for dispersive coupling Maizelis, Rudner, Dykman
... or electromagnetic cavity mode has been attracting much attention recently. The coupling provides a means for quantum nondemolition measurement of the occupation number of the mode or of the populations of the energy levels of the system [1–8]. The underlying readout mechanism is the shift of the mo ...
... or electromagnetic cavity mode has been attracting much attention recently. The coupling provides a means for quantum nondemolition measurement of the occupation number of the mode or of the populations of the energy levels of the system [1–8]. The underlying readout mechanism is the shift of the mo ...
Kazakov - From Sigma Models to Four-dimensional QFT
... Wronskian solution for AdS/CFT Y-system. Towards a finite system of equations for the full planar spectrum of AdS/CFT ...
... Wronskian solution for AdS/CFT Y-system. Towards a finite system of equations for the full planar spectrum of AdS/CFT ...
Scattering model for quantum random walks on a hypercube
... classically [2]. It is an oracle-based algorithm, which is optimal in its speed. Another successful application of quantum random walks has been demonstrated by Childs et al. [3], who have also constructed an oracle problem that can be solved by a quantum algorithm exploiting a quantum random walk e ...
... classically [2]. It is an oracle-based algorithm, which is optimal in its speed. Another successful application of quantum random walks has been demonstrated by Childs et al. [3], who have also constructed an oracle problem that can be solved by a quantum algorithm exploiting a quantum random walk e ...
The Boltzmann collision equation in quantum field theory
... The Boltzmann collision equation – Applications A statndard tool in the non-equilibrium statistical mechanics toolbox The “general relativistic quantum” Boltzmann equation in RW spacetime ...
... The Boltzmann collision equation – Applications A statndard tool in the non-equilibrium statistical mechanics toolbox The “general relativistic quantum” Boltzmann equation in RW spacetime ...
INTRO TO NON-EQUILIBRIUM 2PI EFFECTIVE ACTION
... in equilibrium: ρD ∼ e−H/T , commutes with the evolution operator time translation invariance: hO(t)i = hO(0)i ...
... in equilibrium: ρD ∼ e−H/T , commutes with the evolution operator time translation invariance: hO(t)i = hO(0)i ...
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, ...
Quantum Biology at the Cellular Level
... physics and biology. This paper explores some theoretical and experimental aspects of the research program we propose to expand the scope of this discipline to the cellular level. The attempts to implicate quantum physics in biology date back to the founding fathers of quantum mechanics (Bohr, 1996; ...
... physics and biology. This paper explores some theoretical and experimental aspects of the research program we propose to expand the scope of this discipline to the cellular level. The attempts to implicate quantum physics in biology date back to the founding fathers of quantum mechanics (Bohr, 1996; ...
Slater decomposition of fractional quantum Hall states
... quantum Hall states Consider a system of electrons confined in a plane and subject to a constant perpendicular magnetic field B. When a current flows through it, the sample will show the so called Hall effect [Hal79], i.e. will generate a transverse potential drop. The resistivity tensor ρ will be a ...
... quantum Hall states Consider a system of electrons confined in a plane and subject to a constant perpendicular magnetic field B. When a current flows through it, the sample will show the so called Hall effect [Hal79], i.e. will generate a transverse potential drop. The resistivity tensor ρ will be a ...
LINEAR DIFFERENTIAL EQUATIONS by L. Boutet de Monvel
... and form a vector space; there is also a notion of complex vector spaces where dilations by complex numbers are allowed.3 A real function of real numbers f (x1 , . . . , xn ) is linear if it takes sums into sums: f (x1 + y1 , . . . , xn + yn ) = f(x1 , . . . , xn ) + f (y1 , . . . , yn ) (as limitin ...
... and form a vector space; there is also a notion of complex vector spaces where dilations by complex numbers are allowed.3 A real function of real numbers f (x1 , . . . , xn ) is linear if it takes sums into sums: f (x1 + y1 , . . . , xn + yn ) = f(x1 , . . . , xn ) + f (y1 , . . . , yn ) (as limitin ...
Noise and Decoherence in Quantum Two-Level Systems
... This result is easy to understand at the Golden rule level. Pure dephasing processes are associated with transitions during which only the oscillators change their state, while the spin remains unchanged. Since no energy is exchanged only oscillators with frequencies near zero contribute. An analysi ...
... This result is easy to understand at the Golden rule level. Pure dephasing processes are associated with transitions during which only the oscillators change their state, while the spin remains unchanged. Since no energy is exchanged only oscillators with frequencies near zero contribute. An analysi ...
6pp
... of characterizing a system. • Let us consider a particle, say an electron, moving through space. We describe the electron's motion in terms of its position and momentum. • Classically we can measure both quantities to infinite precision. • However in Quantum Mechanics we can never know both quantiti ...
... of characterizing a system. • Let us consider a particle, say an electron, moving through space. We describe the electron's motion in terms of its position and momentum. • Classically we can measure both quantities to infinite precision. • However in Quantum Mechanics we can never know both quantiti ...
Path Integral studies of quantum systems at finite temperatures Sergei Dmitrievich Ivanov
... Appearence and fast development of computers in the middle of the twentieth century inspired a breakthrough in many branches of science. Currently, the scientific investigations in physics, chemistry and biology can not be imagined without computers. In particular, besides solving equations numerica ...
... Appearence and fast development of computers in the middle of the twentieth century inspired a breakthrough in many branches of science. Currently, the scientific investigations in physics, chemistry and biology can not be imagined without computers. In particular, besides solving equations numerica ...
Renormalization group
In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.