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Quantum emission dynamics from a single quantum dot in a planar
... simulations (usually without a QD and thus neglecting radiative coupling), e.g., a finite-difference time domain9; whereas such techniques may seemingly yield the correct answer, there are two main problems that are frequently ignored. First, these numerical simulations employ the ideal structure an ...
... simulations (usually without a QD and thus neglecting radiative coupling), e.g., a finite-difference time domain9; whereas such techniques may seemingly yield the correct answer, there are two main problems that are frequently ignored. First, these numerical simulations employ the ideal structure an ...
Semiconductor qubits for quantum computation
... Efficient solution of algorithms on a quantum computer with no efficient solution on a Turing machine? ...
... Efficient solution of algorithms on a quantum computer with no efficient solution on a Turing machine? ...
WKB quantization for completely bound quadratic dissipative systems
... world applications [1]. In classical mechanics, the equations of motion for conservative systems, i.e. systems in which the sum of the kinetic energy K and potential energy U is constant, can be derived from a Hamiltonian function which represents the energy of the system in terms of generalized coo ...
... world applications [1]. In classical mechanics, the equations of motion for conservative systems, i.e. systems in which the sum of the kinetic energy K and potential energy U is constant, can be derived from a Hamiltonian function which represents the energy of the system in terms of generalized coo ...
Random walks with absolute negative mobility
... 关3兴 F. Jülicher and J. Prost, Prog. Theor. Phys. Suppl. 130, 9 共1998兲; C. Van den Broeck, P. Reimann, R. Kawai, and P. Hänggi, in Statistical Mechanics of Biocomplexity, edited by D. Reguera, J. M. G. Vilar, and J. M. Rubi 共Springer-Verlag, Berlin, 1999兲, pp. 93–111; P. Reimann, Phys. Rep. 共to be ...
... 关3兴 F. Jülicher and J. Prost, Prog. Theor. Phys. Suppl. 130, 9 共1998兲; C. Van den Broeck, P. Reimann, R. Kawai, and P. Hänggi, in Statistical Mechanics of Biocomplexity, edited by D. Reguera, J. M. G. Vilar, and J. M. Rubi 共Springer-Verlag, Berlin, 1999兲, pp. 93–111; P. Reimann, Phys. Rep. 共to be ...
433
... the sum of those in the separate beams (1 + 1 = 2). Quantum mechanically, the beams interfere, and the spacing of the fringes separating regions of constructive and destructive interference is proportional to h; across the fringes the intensity varies from zero and four times that of each beam (1 + ...
... the sum of those in the separate beams (1 + 1 = 2). Quantum mechanically, the beams interfere, and the spacing of the fringes separating regions of constructive and destructive interference is proportional to h; across the fringes the intensity varies from zero and four times that of each beam (1 + ...
Quantum computing with nanoscale infrastructure
... |00>+|11>, a ‘Schrödinger’s cat’ state, which implies that if one reads one bit to be 0 (1), the other bit will also be 0 (1). Erwin Schrödingers thought experiment set about explaining the strange nature of quantum mechanics. He proposed a scenario with a cat in a sealed box, where the cat’s life o ...
... |00>+|11>, a ‘Schrödinger’s cat’ state, which implies that if one reads one bit to be 0 (1), the other bit will also be 0 (1). Erwin Schrödingers thought experiment set about explaining the strange nature of quantum mechanics. He proposed a scenario with a cat in a sealed box, where the cat’s life o ...
Alternative Approach to Time Evaluation of Schrödinger Wave
... directly and heavily depending on time which is generally the case for the open quantum systems. Time dependant Hamiltonian operator can now be employed in any involving equation, namely QLE/NE or LE to obtain time evaluation of any quantum system. The purpose of this paper is, however, to derive an ...
... directly and heavily depending on time which is generally the case for the open quantum systems. Time dependant Hamiltonian operator can now be employed in any involving equation, namely QLE/NE or LE to obtain time evaluation of any quantum system. The purpose of this paper is, however, to derive an ...
( A ) + P
... second draw if the first draw is green is: P (B | G) = P (B) = 0.30 (a conditional probability but equal to the marginal because the two draws are independent events) ...
... second draw if the first draw is green is: P (B | G) = P (B) = 0.30 (a conditional probability but equal to the marginal because the two draws are independent events) ...
powerpoint - University of Illinois at Urbana
... been developed and made available online by work supported jointly by University of Illinois, the National Science Foundation under Grant CHE-1118616 (CAREER), and the Camille & Henry Dreyfus Foundation, Inc. through the Camille Dreyfus Teacher-Scholar program. Any opinions, findings, and conclusion ...
... been developed and made available online by work supported jointly by University of Illinois, the National Science Foundation under Grant CHE-1118616 (CAREER), and the Camille & Henry Dreyfus Foundation, Inc. through the Camille Dreyfus Teacher-Scholar program. Any opinions, findings, and conclusion ...
Main
... understood as revealing the pre-existing definite value of some underlying hidden variable [6, 7]. Whether the origin of the speed-up of our algorithm can be explained by contextuality is an open question. In this work, we present an oracle-based quantum algorithm which, constructed on a surprisingl ...
... understood as revealing the pre-existing definite value of some underlying hidden variable [6, 7]. Whether the origin of the speed-up of our algorithm can be explained by contextuality is an open question. In this work, we present an oracle-based quantum algorithm which, constructed on a surprisingl ...
Chapter 4
... We sought to recruit five students from each of the four modern physics offerings at the University of Colorado from a single academic year (immediately following the studies described ...
... We sought to recruit five students from each of the four modern physics offerings at the University of Colorado from a single academic year (immediately following the studies described ...
1 The Fourier Transform
... This is the time-dependent Schrödinger equation for a free particle, i.e., where V = 0, written in the position representation. This shows that plane waves exp(ikx − iωt) are eigenfunctions of the free particle Hamiltonian. The probability of finding a particle at position x is proportional to the ...
... This is the time-dependent Schrödinger equation for a free particle, i.e., where V = 0, written in the position representation. This shows that plane waves exp(ikx − iωt) are eigenfunctions of the free particle Hamiltonian. The probability of finding a particle at position x is proportional to the ...
Probability amplitude
![](https://commons.wikimedia.org/wiki/Special:FilePath/Hydrogen_eigenstate_n5_l2_m1.png?width=300)
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.