61, 062310 (2000)
... identification. The next problem is how to realize these cloning and identifying transformations by physical means. The fundamental unit of quantum information transmission is the quantum bit 共qubit兲, i.e., a two-state quantum system, which is capable of existing in a superposition of Boolean states ...
... identification. The next problem is how to realize these cloning and identifying transformations by physical means. The fundamental unit of quantum information transmission is the quantum bit 共qubit兲, i.e., a two-state quantum system, which is capable of existing in a superposition of Boolean states ...
Quantum random walks and their boundaries
... Notwithstanding the vast literature on quantum Markov processes and semigroups, there are important applications of random walks to subfactor theory [21, 22, 1, 10] and to product-type actions of compact groups [8]. In the early 90s Biane showed in a series of interesting papers [2, 3, 4, 5] that so ...
... Notwithstanding the vast literature on quantum Markov processes and semigroups, there are important applications of random walks to subfactor theory [21, 22, 1, 10] and to product-type actions of compact groups [8]. In the early 90s Biane showed in a series of interesting papers [2, 3, 4, 5] that so ...
Von Neumann algebra automorphisms and time
... below. Consider classical statistical mechanics. Let ρ be a thermal state, namely a smooth positive (normalized) function on the phase space, which defines a statistical distribution in the sense of Gibbs [10]. In a conventional non-generally covariant theory, a hamiltonian H is given and the equili ...
... below. Consider classical statistical mechanics. Let ρ be a thermal state, namely a smooth positive (normalized) function on the phase space, which defines a statistical distribution in the sense of Gibbs [10]. In a conventional non-generally covariant theory, a hamiltonian H is given and the equili ...
Universal quantum interfaces
... interface, while keeping the other interfaces ‘‘turned off’’ via the decoupling procedure given above, one can perform any desired generalized measurement on the systems to which that interface is coupled. This procedure allows one to both prepare and measure the state of those systems. Since state ...
... interface, while keeping the other interfaces ‘‘turned off’’ via the decoupling procedure given above, one can perform any desired generalized measurement on the systems to which that interface is coupled. This procedure allows one to both prepare and measure the state of those systems. Since state ...
Interaction between quantum dots and superconducting microwave resonators Tobias Frey
... only to its gate Slide courtesy of Klaus Ensslin ...
... only to its gate Slide courtesy of Klaus Ensslin ...
Million-Atom Pseudopotential Calculation of GX Mixing in GaAs AlAs
... distance between the G and X curves, is 0.9 meV for n 20. This value should be compared with 1.2 meV we obtained from an exact calculation (i.e., no truncation in NB or Nk ). Figure 2(c) shows the VBM ! CBM (conduction-band minimum) momentum transition matrix element jkcVBM jpjcCBM lj2 as a functi ...
... distance between the G and X curves, is 0.9 meV for n 20. This value should be compared with 1.2 meV we obtained from an exact calculation (i.e., no truncation in NB or Nk ). Figure 2(c) shows the VBM ! CBM (conduction-band minimum) momentum transition matrix element jkcVBM jpjcCBM lj2 as a functi ...
Black Hole Entropy: From Shannon to Bekenstein
... where in a very general context, pk denotes the probability of the system being in k-th state. For the particle entropy, it is numerically equal to maximum entropy ln 2 if the chances of the particle existing or not are both equal to 1/2. Hence it was not clear if the Shannon formula was capable of ...
... where in a very general context, pk denotes the probability of the system being in k-th state. For the particle entropy, it is numerically equal to maximum entropy ln 2 if the chances of the particle existing or not are both equal to 1/2. Hence it was not clear if the Shannon formula was capable of ...
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... vestigation is chosen to be real' ; therefore, Ch and C2h are also real. Clh/Mh is the steady-state solution for the trapped-hole density [Eq. (1)]. Equation (14) shows that the trapped-charge density increases with the lamp intensity and approaches its asymptotic value, klhahNhTdhIchAt this point t ...
... vestigation is chosen to be real' ; therefore, Ch and C2h are also real. Clh/Mh is the steady-state solution for the trapped-hole density [Eq. (1)]. Equation (14) shows that the trapped-charge density increases with the lamp intensity and approaches its asymptotic value, klhahNhTdhIchAt this point t ...
Quantum refrigerators and the third law of thermodynamics
... [20,22]. The first is a purely static (equilibrium) one, also known as the Nernst heat theorem, and can simply be phrased as follows: (a) The entropy of any pure substance in thermodynamic equilibrium approaches zero as the temperature approaches zero. The second is a dynamical one, known as the una ...
... [20,22]. The first is a purely static (equilibrium) one, also known as the Nernst heat theorem, and can simply be phrased as follows: (a) The entropy of any pure substance in thermodynamic equilibrium approaches zero as the temperature approaches zero. The second is a dynamical one, known as the una ...
A New Quantum Behaved Particle Swarm Optimization
... the nine test cases tried. For the test functions f3 – f10 also QQPSO gave superior results in all the cases. The dominance of the proposed Q-QPSO algorithm is also apparent from the two tailed t-test given in Tables 5, 6 and 7. However, we would like to add that the collection of test problems take ...
... the nine test cases tried. For the test functions f3 – f10 also QQPSO gave superior results in all the cases. The dominance of the proposed Q-QPSO algorithm is also apparent from the two tailed t-test given in Tables 5, 6 and 7. However, we would like to add that the collection of test problems take ...
A New Quantum Behaved Particle Swarm Optimization
... The development in the field of quantum mechanics is mainly due to the findings of Bohr, de Broglie, Schrödinger, Heisenberg and Bohn in the early twentieth century. Their studies forced the scientists to rethink the applicability of classical mechanics and the traditional understanding of the natur ...
... The development in the field of quantum mechanics is mainly due to the findings of Bohr, de Broglie, Schrödinger, Heisenberg and Bohn in the early twentieth century. Their studies forced the scientists to rethink the applicability of classical mechanics and the traditional understanding of the natur ...
Quantum factorization of 56153 with only 4 qubits
... We have shown that the NMR experiment of Xu et al. [1] in 2012 factored an entire class of numbers, and not just the one number that they reported (which was 143). The largest such number that we found without using any prior knowledge of the solution to the factorization problem was 56153. Since th ...
... We have shown that the NMR experiment of Xu et al. [1] in 2012 factored an entire class of numbers, and not just the one number that they reported (which was 143). The largest such number that we found without using any prior knowledge of the solution to the factorization problem was 56153. Since th ...
5 Statistical Fluid Dynamics
... In the previous chapter, we considered fluid turbulence from a heuristic viewpoint, combining ideas based upon fundamental conservation laws with more qualitative ideas about irreversible behavior. However, there have been numerous attempts to study turbulence in a more quantitative and deductive fa ...
... In the previous chapter, we considered fluid turbulence from a heuristic viewpoint, combining ideas based upon fundamental conservation laws with more qualitative ideas about irreversible behavior. However, there have been numerous attempts to study turbulence in a more quantitative and deductive fa ...