Do quantum strategies always win?
... the classical penny flip. The two states of the penny, heads and tails are now the maximally entangled or the completely separable states. There is however a crucial difference between the classical penny flip and the entangled quantum penny flip. In the former there is no ‘draw’ while in the latter ...
... the classical penny flip. The two states of the penny, heads and tails are now the maximally entangled or the completely separable states. There is however a crucial difference between the classical penny flip and the entangled quantum penny flip. In the former there is no ‘draw’ while in the latter ...
The additivity problem in quantum information theory
... memoryless quantum channels with respect to entangled encodings. Should the additivity fail, this would mean that applying entangled inputs to several independent uses of a quantum channel may result in superadditive increase of its capacity for transmission of classical information. However so far ...
... memoryless quantum channels with respect to entangled encodings. Should the additivity fail, this would mean that applying entangled inputs to several independent uses of a quantum channel may result in superadditive increase of its capacity for transmission of classical information. However so far ...
A Quantum Algorithm for Finding Minimum Exclusive
... Definition 6: Let xi be binary variable literals, y a binary value (constant input) and Gi arbitrary 2-input 1output boolean functions (1 ≤ i ≤ n). Then U = Gn (xn , Gn−1 (xn−1 , Gn−2 (xn−2 , . . . , G1 (x1 , y)))) is an nvariable complex term (or Maitra term) that depends on variables x1 , . . . , ...
... Definition 6: Let xi be binary variable literals, y a binary value (constant input) and Gi arbitrary 2-input 1output boolean functions (1 ≤ i ≤ n). Then U = Gn (xn , Gn−1 (xn−1 , Gn−2 (xn−2 , . . . , G1 (x1 , y)))) is an nvariable complex term (or Maitra term) that depends on variables x1 , . . . , ...
Multiphoton population transfer in a kicked Rydberg atom: adiabatic rapid
... -distributions are confined to odd- only because the interaction Hamiltonian mixes each with ± 1 and the initial state is a p-state. We also considered a case where the E jump caused by the transition is larger than that in figure 1. In particular, we considered transitioning from n = 40, = ...
... -distributions are confined to odd- only because the interaction Hamiltonian mixes each with ± 1 and the initial state is a p-state. We also considered a case where the E jump caused by the transition is larger than that in figure 1. In particular, we considered transitioning from n = 40, = ...
Study on Systems of Hydrogen Atoms in the View Point of Natural
... In this paper, we study the derivation of the Schrödinger equation of the system of hydrogen atoms and its solutions which are necessary to analyze the natural statistical phenomena of the system of hydrogen atoms in the basis of the laws of natural statistical physics. Using the above results, we ...
... In this paper, we study the derivation of the Schrödinger equation of the system of hydrogen atoms and its solutions which are necessary to analyze the natural statistical phenomena of the system of hydrogen atoms in the basis of the laws of natural statistical physics. Using the above results, we ...
Coherent states in the presence of a variable magnetic field
... and are also useful in the spectral analysis of magnetic Schrödinger operators [18]. Now, the complete formalism involves coupling the classical and the quantum observables to states. We refer to [9–12] and to references therein for a general presentation and justification of the concept of state qu ...
... and are also useful in the spectral analysis of magnetic Schrödinger operators [18]. Now, the complete formalism involves coupling the classical and the quantum observables to states. We refer to [9–12] and to references therein for a general presentation and justification of the concept of state qu ...
Quantum dots
... QD is a zero-dimensional system, its density of states consists of a sequence of peaks, with positions determined by size and shape of the confining potential, as well as by effective mass of the host material. To estimate the average spacing let us use the 2D model: ...
... QD is a zero-dimensional system, its density of states consists of a sequence of peaks, with positions determined by size and shape of the confining potential, as well as by effective mass of the host material. To estimate the average spacing let us use the 2D model: ...
generalized numerical ranges and quantum error correction
... S(H) such that span { I, A1 , A2 , A3 } has dimension 4, there is always an A4 ∈ S(H) for which Λ1 ( A1 , . . . , A4 ) is not convex. In the following, we show that Λk (A) is always star-shaped if dim H is sufficiently large. Moreover, it always contains the convex hull of Λk̂ (A) for k̂ = (m + 2)k. ...
... S(H) such that span { I, A1 , A2 , A3 } has dimension 4, there is always an A4 ∈ S(H) for which Λ1 ( A1 , . . . , A4 ) is not convex. In the following, we show that Λk (A) is always star-shaped if dim H is sufficiently large. Moreover, it always contains the convex hull of Λk̂ (A) for k̂ = (m + 2)k. ...
Continuous configuration time-dependent self
... 共MCTDH兲 generalizes MC-TDSCF in a systematic way, thus eliminating the need for choices of the TDSCF states.16,17 It has successfully been applied to study various realistic and complex quantum dynamical problems 共see Ref. 17 for references兲. However, the general application of MCTDH method to stron ...
... 共MCTDH兲 generalizes MC-TDSCF in a systematic way, thus eliminating the need for choices of the TDSCF states.16,17 It has successfully been applied to study various realistic and complex quantum dynamical problems 共see Ref. 17 for references兲. However, the general application of MCTDH method to stron ...
Paper
... arrangement (a measure of nonrandom complexity), and asymmetric statistical distribution. Bios is an expanding aperiodic pattern with higher sensitivity to initial conditions than chaos, generated non-randomly by recursions of bipolar feedback (positive and negative opposition) and by physiological ...
... arrangement (a measure of nonrandom complexity), and asymmetric statistical distribution. Bios is an expanding aperiodic pattern with higher sensitivity to initial conditions than chaos, generated non-randomly by recursions of bipolar feedback (positive and negative opposition) and by physiological ...
Quantum vortices in a glass of Bose
... to shallow water dynamics with surface tension. One of the striking features of Becs is the possibility of point vortices to appear, which dynamics is explained in some the oldest textbooks of fluid dynamics (see e.g. [5]). Surprinsingly, although vortices in Becs have been extensively studied, some ...
... to shallow water dynamics with surface tension. One of the striking features of Becs is the possibility of point vortices to appear, which dynamics is explained in some the oldest textbooks of fluid dynamics (see e.g. [5]). Surprinsingly, although vortices in Becs have been extensively studied, some ...
Document
... WHAT CHANCE H = 0? It might be cool if someone would estimate, given experimental uncertainty, the chance that h is actually zero. If true, then Δx Δp > 0 and the universe would be classical! I am sure this would be one of the smallest probabilities ever estimated --> 10-(VERY LARGE NUMBER). Still, ...
... WHAT CHANCE H = 0? It might be cool if someone would estimate, given experimental uncertainty, the chance that h is actually zero. If true, then Δx Δp > 0 and the universe would be classical! I am sure this would be one of the smallest probabilities ever estimated --> 10-(VERY LARGE NUMBER). Still, ...
What you always wanted to know about Bohmian mechanics but
... Bohmian mechanics was rst developed by Louis de Broglie! Therefore we will use the name de Broglie-Bohm theory in the remainder of this paper. Some basic concepts of the theory were already anticipated in de Broglie's dissertation in 1924 and his talk on the 5th Solvay meeting in October 1927 con ...
... Bohmian mechanics was rst developed by Louis de Broglie! Therefore we will use the name de Broglie-Bohm theory in the remainder of this paper. Some basic concepts of the theory were already anticipated in de Broglie's dissertation in 1924 and his talk on the 5th Solvay meeting in October 1927 con ...
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.