1 Simulating Classical Circuits
... How can a classical circuit C which takes an n bit input x and computes f (x) be made into a reversible quantum circuit that computes the same function? The circuit must never lose any information, so how could it compute a function mapping n bits to m < n bits (e.g. a boolean function, where m = 1) ...
... How can a classical circuit C which takes an n bit input x and computes f (x) be made into a reversible quantum circuit that computes the same function? The circuit must never lose any information, so how could it compute a function mapping n bits to m < n bits (e.g. a boolean function, where m = 1) ...
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... the moments of the nonequilibrium fluctuations in s e r i e s in powers of the external forces. Efremov, "**I by the perturbation method, was the first to obtain three-index relations between the thirdorder moments of equilibrium fluctuations and the quadratic response of a system to a n external pe ...
... the moments of the nonequilibrium fluctuations in s e r i e s in powers of the external forces. Efremov, "**I by the perturbation method, was the first to obtain three-index relations between the thirdorder moments of equilibrium fluctuations and the quadratic response of a system to a n external pe ...
6.2 Growth and structure of semiconductor quantum wells
... heavy hole transition at 1.59 eV. This is closely followed by the step due to the n = 1 light hole transition at 1.61eV. The steps at the band edge are followed by a flat spectrum up to 1.74 e. At 1.77 eV there is a further step due to the onset of the n = 2 heavy hole transition, then n = 3 at 2.03 ...
... heavy hole transition at 1.59 eV. This is closely followed by the step due to the n = 1 light hole transition at 1.61eV. The steps at the band edge are followed by a flat spectrum up to 1.74 e. At 1.77 eV there is a further step due to the onset of the n = 2 heavy hole transition, then n = 3 at 2.03 ...
Quantum Molecular Dynamics
... Strengths Maps a quantum problem to a classical one Scales well to many more particles than other methods Ability to do electron and ion dynamics near equilibrium Codes are well developed and tuned ...
... Strengths Maps a quantum problem to a classical one Scales well to many more particles than other methods Ability to do electron and ion dynamics near equilibrium Codes are well developed and tuned ...
How close can we get waves to wavefunctions, including potential?
... we typically do it by exciting only one segment of the medium and let the wave propagate. This interaction is very limited in space, point-like. Yet, it excites the whole wave. We, therefore, know that energy can be transferred to a wave in a point-like manner. Can it also be extracted from the wave ...
... we typically do it by exciting only one segment of the medium and let the wave propagate. This interaction is very limited in space, point-like. Yet, it excites the whole wave. We, therefore, know that energy can be transferred to a wave in a point-like manner. Can it also be extracted from the wave ...
Absolute Quantum Mechanics - Philsci
... time. However, absolute position and velocity appear to be unobservable, and there is a long tradition, beginning with Leibniz, of criticizing the postulation of these unobservable properties, and suggesting that mechanics would better be reformulated in a way that does not make reference to them Th ...
... time. However, absolute position and velocity appear to be unobservable, and there is a long tradition, beginning with Leibniz, of criticizing the postulation of these unobservable properties, and suggesting that mechanics would better be reformulated in a way that does not make reference to them Th ...
From Classical to Wave-Mechanical Dynamics
... Any kind of monochromatic wave phenomena may be dealt with, as we shall see, in terms of an exact, ray-based kinematics, encoded in the structure itself of Helmholtz-like equations. The ray trajectories and motion laws turn out to be coupled by a dispersive "Wave Potential " function, which is respo ...
... Any kind of monochromatic wave phenomena may be dealt with, as we shall see, in terms of an exact, ray-based kinematics, encoded in the structure itself of Helmholtz-like equations. The ray trajectories and motion laws turn out to be coupled by a dispersive "Wave Potential " function, which is respo ...
Contradiction of Quantum Mechanics with Local Hidden Variables
... choice maximizes S. Violations of the Bell inequality, and hence contradiction with the predictions of local hidden variables, are indicated for 0.96 & r0 & 1.41, the maximum violation of S ø 1.0157 6 0.001 being around r0 ø 1.1. This is a substantially smaller violation than obtained in the discret ...
... choice maximizes S. Violations of the Bell inequality, and hence contradiction with the predictions of local hidden variables, are indicated for 0.96 & r0 & 1.41, the maximum violation of S ø 1.0157 6 0.001 being around r0 ø 1.1. This is a substantially smaller violation than obtained in the discret ...
N -level quantum thermodynamics
... laws of motion do not conserve S. These efforts have generally been based upon dynamical maps which, though nonunitary, are nevertheless linear, thus assuring the applicability of a substantial body of standard mathematical structures. This approach has yielded several interesting contributions (9-1 ...
... laws of motion do not conserve S. These efforts have generally been based upon dynamical maps which, though nonunitary, are nevertheless linear, thus assuring the applicability of a substantial body of standard mathematical structures. This approach has yielded several interesting contributions (9-1 ...
Chapter 2: Interacting Rydberg atoms
... The |+i state does not have any |ggi component, so either Ugg or Ugg would have to be zero. But any of these choices will also cause the |gri or |rgi component to vanish, making it impossible to write |+i as a product state. Such quantum states that cannot be written as product states are entangled ...
... The |+i state does not have any |ggi component, so either Ugg or Ugg would have to be zero. But any of these choices will also cause the |gri or |rgi component to vanish, making it impossible to write |+i as a product state. Such quantum states that cannot be written as product states are entangled ...
Problem Set 9: Groups & Representations Graduate Quantum I Physics 6572 James Sethna
... ‘dot product’ of our character with the identical row is indeed the number of elements in the octahedral group, o(O) = 24. (f) Use the orthogonality relations of the characters of irreducible representations for O, decompose the ` = 2 representation from part (c) into irreducible representations of ...
... ‘dot product’ of our character with the identical row is indeed the number of elements in the octahedral group, o(O) = 24. (f) Use the orthogonality relations of the characters of irreducible representations for O, decompose the ` = 2 representation from part (c) into irreducible representations of ...
Unitarity and Effective Field Theory Results in Quantum Gravity
... All symmetry factors plus the various Feynman ...
... All symmetry factors plus the various Feynman ...
Time-Resolved Coherent Photoelectron Spectroscopy of Quantized
... beating frequencies (Fig. 3A, inset). The two main frequency components are 4.3 and 2.3 THz, which yield energy differences of 17.8 and 9.6 meV, respectively. The deduced values are slightly higher than the theoretical energy differences expected from Eq. 1 with the quantum defect a 5 0.21 that repr ...
... beating frequencies (Fig. 3A, inset). The two main frequency components are 4.3 and 2.3 THz, which yield energy differences of 17.8 and 9.6 meV, respectively. The deduced values are slightly higher than the theoretical energy differences expected from Eq. 1 with the quantum defect a 5 0.21 that repr ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.