ON THE QUANTUM-CLASSICAL ANALOGIES 1. INTRODUCTION It
... quantum algorithms by classical optical systems [17-18]. However, nonlocal correlations/multiparticle entanglement between spatially separated states cannot be mimicked in classical optics. This is the reason why the scaling behavior of qubits (the exponential decrease of computation time with a lin ...
... quantum algorithms by classical optical systems [17-18]. However, nonlocal correlations/multiparticle entanglement between spatially separated states cannot be mimicked in classical optics. This is the reason why the scaling behavior of qubits (the exponential decrease of computation time with a lin ...
Quantum Scholasticism: On Quantum Contexts, Counterfactuals
... but also of the complete disposition of the apparatus. Compare also Bohr’s remarks [59] about “the impossibility of any sharp separation between the behavior of atomic objects and the interaction with the measuring instruments which serve to define the conditions under which the phenomena appear.” I ...
... but also of the complete disposition of the apparatus. Compare also Bohr’s remarks [59] about “the impossibility of any sharp separation between the behavior of atomic objects and the interaction with the measuring instruments which serve to define the conditions under which the phenomena appear.” I ...
Lecture 8, Quantum Mechanical Harmonic Oscillator
... * pair of nodes nearest to x are spaced by λ(x)/2. Qualitative Shapes of ψv(x): * exponentially damped envelope, extending into non-classical regions (!!!!) * oscillations within classically allowed region with number of internal nodes equal to the quantum number * even v, even function, antinode ...
... * pair of nodes nearest to x are spaced by λ(x)/2. Qualitative Shapes of ψv(x): * exponentially damped envelope, extending into non-classical regions (!!!!) * oscillations within classically allowed region with number of internal nodes equal to the quantum number * even v, even function, antinode ...
Ground State Structure in Supersymmetric Quantum Mechanics* Qv
... see, for example, [2]. This follows from Proposition 2, which ensures that each nonzero eigenspace of H gives a vanishing contribution to (1.9). On the other hand, zero modes of H are zero modes of Q, and (1.9) follows. We consider here two examples with qualitatively different vacuum structures. Th ...
... see, for example, [2]. This follows from Proposition 2, which ensures that each nonzero eigenspace of H gives a vanishing contribution to (1.9). On the other hand, zero modes of H are zero modes of Q, and (1.9) follows. We consider here two examples with qualitatively different vacuum structures. Th ...
Testing the Dimension of Hilbert Spaces
... shows, as one may expect, that not all d-outcome correlations can be obtained by measuring quantum systems of dimension smaller than d. Then, somehow surprisingly, we proved that qubit witnesses also exist in the case of twooutcome measurements. Viewing the dimensionality of a quantum system as a re ...
... shows, as one may expect, that not all d-outcome correlations can be obtained by measuring quantum systems of dimension smaller than d. Then, somehow surprisingly, we proved that qubit witnesses also exist in the case of twooutcome measurements. Viewing the dimensionality of a quantum system as a re ...
On the Utility of Entanglement in Quantum Neural Computing
... (the other contains the factorization of pE and a different remainder); however, in both cases the factorization is not complete. Therefore, pc is also entangled, but not to the same degree as pw (because pc can be partially factorized but pw cannot). Thus there are different degrees of entanglement ...
... (the other contains the factorization of pE and a different remainder); however, in both cases the factorization is not complete. Therefore, pc is also entangled, but not to the same degree as pw (because pc can be partially factorized but pw cannot). Thus there are different degrees of entanglement ...
Accounting for Nonlinearities in Mathematical Modelling of Quantum
... Now, we are in a position to introduce also quantum effects into the model. Indeed, the smooth quantum hydrodynamic approximation has the same form as above, but constitutive relations for the stress tensor, energy density, and the heat flux incorporate both classical and quantum effects. Compared t ...
... Now, we are in a position to introduce also quantum effects into the model. Indeed, the smooth quantum hydrodynamic approximation has the same form as above, but constitutive relations for the stress tensor, energy density, and the heat flux incorporate both classical and quantum effects. Compared t ...
Heisenbergs
... • Werner Heisenberg formulated a quantum mechanics paper based on a matrixes. Werner Heisenberg - Facts. (2014, November 30). Retrieved from http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenbergfacts.html ...
... • Werner Heisenberg formulated a quantum mechanics paper based on a matrixes. Werner Heisenberg - Facts. (2014, November 30). Retrieved from http://www.nobelprize.org/nobel_prizes/physics/laureates/1932/heisenbergfacts.html ...
Statistical complexity, Fisher-Shannon information, and Bohr orbits
... tends, when n ≫ 1, to the radius of the nth energy level, rBohr = n2 , of the Bohr atom. It is remarkable that the minimum values of these statistical measures calculated from the quantum wave functions of the H-atom enhance our intuition by selecting just those orbitals that in the pre-quantum imag ...
... tends, when n ≫ 1, to the radius of the nth energy level, rBohr = n2 , of the Bohr atom. It is remarkable that the minimum values of these statistical measures calculated from the quantum wave functions of the H-atom enhance our intuition by selecting just those orbitals that in the pre-quantum imag ...
3 - Natural Thinker
... concept. This approach to knowledge tries to comprehend one level of scientific phenomena in terms of concepts at a lower and presumably more fundamental level. In chemistry, large-scale reactions are accounted for by examining the behaviour of molecules. Similarly, physiologists study the activity ...
... concept. This approach to knowledge tries to comprehend one level of scientific phenomena in terms of concepts at a lower and presumably more fundamental level. In chemistry, large-scale reactions are accounted for by examining the behaviour of molecules. Similarly, physiologists study the activity ...
Quantum Computing with Molecules
... migrate in an orderly way through arrays of logic gates as the calculation proceeds, these qubits do not go anywhere. Instead the logic gates are brought to them using various NMR manipulations. In essence, the program to be executed is compiled into a series of radio-frequency pulses. The first com ...
... migrate in an orderly way through arrays of logic gates as the calculation proceeds, these qubits do not go anywhere. Instead the logic gates are brought to them using various NMR manipulations. In essence, the program to be executed is compiled into a series of radio-frequency pulses. The first com ...
Quantum mechanics
... • We would like to use as small a basis set as possible and still describe the wavefunction well – A good solution is to use functions that have shape similar to s, p, d and f orbitals and are centered on each of the atoms ...
... • We would like to use as small a basis set as possible and still describe the wavefunction well – A good solution is to use functions that have shape similar to s, p, d and f orbitals and are centered on each of the atoms ...
More period finding with adiabatic quantum computation
... Ĥd that is entered in an AQC. Then the AQC assigns 0, 1 to the in (1) so that a minimum is obtained. The output Ĥp encodes these values of . Hen [4] has a valuable discussion about Shor’s factoring algorithm [11] and the work needed to implement it on an AQC. Since this is a major, worthwhile effort ...
... Ĥd that is entered in an AQC. Then the AQC assigns 0, 1 to the in (1) so that a minimum is obtained. The output Ĥp encodes these values of . Hen [4] has a valuable discussion about Shor’s factoring algorithm [11] and the work needed to implement it on an AQC. Since this is a major, worthwhile effort ...
Available PDF download
... grained approximation. While a fully satisfactory quantum gravity theory still awaits us (in any approach), detailed investigations have been carried out to completion in simplified models —called mini and midi-superspaces. They show that quantum space-time does not end at singularities. Rather, qua ...
... grained approximation. While a fully satisfactory quantum gravity theory still awaits us (in any approach), detailed investigations have been carried out to completion in simplified models —called mini and midi-superspaces. They show that quantum space-time does not end at singularities. Rather, qua ...