Direct and Indirect Couplings in Coherent
... exchanges quantum information with the quantum plant in the feedback loop. Such quantum information may flow directionally as a (possibly non-commutative) signal like a quantized electromagnetic field or an injected laser [51], [54], or directly via a bidirectional physical coupling [45], [24]. Full ...
... exchanges quantum information with the quantum plant in the feedback loop. Such quantum information may flow directionally as a (possibly non-commutative) signal like a quantized electromagnetic field or an injected laser [51], [54], or directly via a bidirectional physical coupling [45], [24]. Full ...
Destructive quantum interference in spin tunneling problems
... For extended quantum spin systems in one and two dimensions, qualitative differences between integer and half-odd-integer spin s have been reported previously [4]. In these papers, quantum interference between topologically distinct paths of a continuous unit vector field Ω(x,t) leads to interesting ...
... For extended quantum spin systems in one and two dimensions, qualitative differences between integer and half-odd-integer spin s have been reported previously [4]. In these papers, quantum interference between topologically distinct paths of a continuous unit vector field Ω(x,t) leads to interesting ...
How Quantum Theory Helps us Explain - u.arizona.edu
... dependencies, and thereby explains it. The regularity was to be expected by one who knows this pattern and knows the values of the variables in the pattern on which it depends. An explanation of a regularity is causal only if at least some of these counterfactuals expressing dependency relations may ...
... dependencies, and thereby explains it. The regularity was to be expected by one who knows this pattern and knows the values of the variables in the pattern on which it depends. An explanation of a regularity is causal only if at least some of these counterfactuals expressing dependency relations may ...
Chemical reaction rates using the semiclassical
... the FB-IVR integrand is considerably less oscillatory. However, the FB-IVR is more approximate than the full SC-IVR. The FB-IVR time correlation function is derived by doing one of the integrals in the full SC-IVR time correlation function by a stationary phase approximation. The ability of the FB-I ...
... the FB-IVR integrand is considerably less oscillatory. However, the FB-IVR is more approximate than the full SC-IVR. The FB-IVR time correlation function is derived by doing one of the integrals in the full SC-IVR time correlation function by a stationary phase approximation. The ability of the FB-I ...
Quantum Entanglement in Many-body Systems
... which is minimum (zero) for product states where there is only one non-vanishing λ = 1, and maximum when all the λ’s are the same. Therefore, the state mentioned earlier in (1) is a maximally entangled state. There are many important properties of the von Neumann entropy (see for example in [9]) to ...
... which is minimum (zero) for product states where there is only one non-vanishing λ = 1, and maximum when all the λ’s are the same. Therefore, the state mentioned earlier in (1) is a maximally entangled state. There are many important properties of the von Neumann entropy (see for example in [9]) to ...
Quantum-classical correspondence in the hydrogen atom in weak
... dynamics of quantum expectation values also when the Rydberg electron is initially excited in a superposition of hydrogenic n-manifolds, i.e., its initial state is not a stationary eigenstate of the unperturbed Hamiltonian, but a timedependent wave packet. Interestingly, time averaging is precisely ...
... dynamics of quantum expectation values also when the Rydberg electron is initially excited in a superposition of hydrogenic n-manifolds, i.e., its initial state is not a stationary eigenstate of the unperturbed Hamiltonian, but a timedependent wave packet. Interestingly, time averaging is precisely ...
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... 3. The rQHW (rQGA) solution • The analysis provided in the critique section suggests the cure: rQHW • The rQHW concept was already addressed ...
... 3. The rQHW (rQGA) solution • The analysis provided in the critique section suggests the cure: rQHW • The rQHW concept was already addressed ...
Closed-orbit theory for photodetachment in a time-dependent electric field Robicheaux
... branches of physics [1]. One of the most typical processes in atomic and molecular physics is the photoionization of neutral atoms or the photodetachment of negative ions in external fields [2]. Its studies often promise an intuitive picture of the embedded dynamics, which not only reveals an intere ...
... branches of physics [1]. One of the most typical processes in atomic and molecular physics is the photoionization of neutral atoms or the photodetachment of negative ions in external fields [2]. Its studies often promise an intuitive picture of the embedded dynamics, which not only reveals an intere ...
Get PDF - OSA Publishing
... and the minimum is taken over all the possible decompositions, which is in general a very challenging task [2, 3]. As a result of this, alternative measures have been proposed, such as the logarithmic negativity [4]. It is also possible that some particular measurement scheme may result in a most na ...
... and the minimum is taken over all the possible decompositions, which is in general a very challenging task [2, 3]. As a result of this, alternative measures have been proposed, such as the logarithmic negativity [4]. It is also possible that some particular measurement scheme may result in a most na ...
Lectures in Theoretical Biophysics - Theoretical and Computational
... • if dealing with more than one random variable, and if thus it becomes unclear over which variable the average is taken and, • if more than one probability distribution p(η, t) are under consideration and have to be distinguished. We will circumvent all of these ambiguities by attaching an index to ...
... • if dealing with more than one random variable, and if thus it becomes unclear over which variable the average is taken and, • if more than one probability distribution p(η, t) are under consideration and have to be distinguished. We will circumvent all of these ambiguities by attaching an index to ...
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... A. The Weirdness of Quantum Mechanics The world is a strange place, but it wasn’t until 1900, when Max Planck was studying the thermal spectrum of light (black body radiation) that we began to understand just how strange it was. Although this represented the formal start of modern quantum mechanics, ...
... A. The Weirdness of Quantum Mechanics The world is a strange place, but it wasn’t until 1900, when Max Planck was studying the thermal spectrum of light (black body radiation) that we began to understand just how strange it was. Although this represented the formal start of modern quantum mechanics, ...
Entanglement and its Role in Shor`s Algorithm
... within a register can be obtained by applying a partial transpose to each subset of qubits and calculating the negativity [9, 10] given by η = Tr|ρT | − 1 i.e., the sum of the negative eigenvalues of the transposed matrix ρTL or ρTS . If the negativity is zero for all possible subsets of qubits in t ...
... within a register can be obtained by applying a partial transpose to each subset of qubits and calculating the negativity [9, 10] given by η = Tr|ρT | − 1 i.e., the sum of the negative eigenvalues of the transposed matrix ρTL or ρTS . If the negativity is zero for all possible subsets of qubits in t ...
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.