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... eigenstates of the pointer position observable. But to be precise, it expresses the more general idea that the final state of the composite must be a mixture over states in each of which the pointer position observable takes one particular value or other with probability one. I can now provide the r ...
... eigenstates of the pointer position observable. But to be precise, it expresses the more general idea that the final state of the composite must be a mixture over states in each of which the pointer position observable takes one particular value or other with probability one. I can now provide the r ...
What is a quantum simulator?
... 6 Why do we need quantum simulators? While the idea of simulations is centuries old [1, 2], the suggestion that a quantum device would make for a better mimic of some models than a classical device is commonly attributed to Feynman in 1982 [46]. He noted that calculating properties of an arbitrary q ...
... 6 Why do we need quantum simulators? While the idea of simulations is centuries old [1, 2], the suggestion that a quantum device would make for a better mimic of some models than a classical device is commonly attributed to Feynman in 1982 [46]. He noted that calculating properties of an arbitrary q ...
Notes on noise
... Thus we can generate a sample of white noise by drawing a value of f (t) from a mean-zero Gaussian ensemble independently in each time bin (there are no correlations between f (t) and f (t0 ) for t 6= t0). Though f (t) has a well-defined mean (namely zero) if we average over a long time period, its ...
... Thus we can generate a sample of white noise by drawing a value of f (t) from a mean-zero Gaussian ensemble independently in each time bin (there are no correlations between f (t) and f (t0 ) for t 6= t0). Though f (t) has a well-defined mean (namely zero) if we average over a long time period, its ...
SEMICLASSICAL AND LARGE QUANTUM NUMBER LIMITS
... Conversely, the anticlassical or extreme quantum limit is reached for the opposite conditions to those listed in (3), e.g. |F | → ∞ or E → 0 for d > 0. For positive degrees d, e.g. all sorts of homogeneous oscillators, the first line of (3) expresses the widely appreciated fact, that the semiclassic ...
... Conversely, the anticlassical or extreme quantum limit is reached for the opposite conditions to those listed in (3), e.g. |F | → ∞ or E → 0 for d > 0. For positive degrees d, e.g. all sorts of homogeneous oscillators, the first line of (3) expresses the widely appreciated fact, that the semiclassic ...
The Uncertainty Principle
... concept of the electron spin was included in the theoretical framework. It came as a big surprise, therefore, when one year later, Erwin Schrödinger presented an alternative theory, that became known as wave mechanics. Schrödinger assumed that an electron in an atom could be represented as an oscill ...
... concept of the electron spin was included in the theoretical framework. It came as a big surprise, therefore, when one year later, Erwin Schrödinger presented an alternative theory, that became known as wave mechanics. Schrödinger assumed that an electron in an atom could be represented as an oscill ...
REFERENCES - mongolinternet.com
... Momentum of a system is constant if there are no external forces F 0 acting on the system from Newton’s first law (of inertia). Energy is an abstract scalar quantity of extreme usefulness in physics and measured in units of mass times velocity squared. Energy of Motion: is directly proportional to ...
... Momentum of a system is constant if there are no external forces F 0 acting on the system from Newton’s first law (of inertia). Energy is an abstract scalar quantity of extreme usefulness in physics and measured in units of mass times velocity squared. Energy of Motion: is directly proportional to ...
LAPLACE TRANSFORM AND UNIVERSAL sl2 INVARIANTS
... (c) The Ohtsuki series, a formal power series in q − 1, has coefficients in Z[1/2], since it is equal to a formal power series in v − 1, and determines the whole set of quantum invariants. If v is a root of unity of order pd with p an odd prime, then the Ohtsuki series at v converges p–adically to t ...
... (c) The Ohtsuki series, a formal power series in q − 1, has coefficients in Z[1/2], since it is equal to a formal power series in v − 1, and determines the whole set of quantum invariants. If v is a root of unity of order pd with p an odd prime, then the Ohtsuki series at v converges p–adically to t ...
Memory-built-in quantum teleportation with photonic and atomic qubits
... the information carriers and the collective atomic qubits2–5,12 (an effective qubit consists of two atomic ensembles, each with 106 rubidium-87 atoms) as the quantum memory. In memorybuilt-in teleportation, an unknown polarization state of single photons is teleported onto and stored in a remote ato ...
... the information carriers and the collective atomic qubits2–5,12 (an effective qubit consists of two atomic ensembles, each with 106 rubidium-87 atoms) as the quantum memory. In memorybuilt-in teleportation, an unknown polarization state of single photons is teleported onto and stored in a remote ato ...
On the Reality of the Quantum State
... Planck started with Boltzmann’s definition of entropy, S = k ln W where W is the “corresponding calculated probability” or the weight function as we now know it - the number of microstates and configurations a system can be in given some microscopic parameters. In order to use the “distasteful” Bolt ...
... Planck started with Boltzmann’s definition of entropy, S = k ln W where W is the “corresponding calculated probability” or the weight function as we now know it - the number of microstates and configurations a system can be in given some microscopic parameters. In order to use the “distasteful” Bolt ...
Multiphoton population transfer between rovibrational states of HF: adiabatic
... picture, they found that microwave driving creates a stable island centred at roughly halfway between the initial and final states in classical action, which corresponds to n for the Coulomb problem. The initial state just below the island and the final state above it form a separatrix at the right ...
... picture, they found that microwave driving creates a stable island centred at roughly halfway between the initial and final states in classical action, which corresponds to n for the Coulomb problem. The initial state just below the island and the final state above it form a separatrix at the right ...
Entanglement in bipartite and tripartite quantum systems
... that is, the projection of ρ onto the space of eigenstates associated with the measurement result divided by the probability for the observed measurement outcome, so that normalization is ensured. The last step follows from the cyclicity of the trace, tr(AB) = tr(BA), and from the fact that projecto ...
... that is, the projection of ρ onto the space of eigenstates associated with the measurement result divided by the probability for the observed measurement outcome, so that normalization is ensured. The last step follows from the cyclicity of the trace, tr(AB) = tr(BA), and from the fact that projecto ...
Representations of Lorentz and Poincaré groups
... is the Pauli-Lubanski pseudovector. We now consider two cases, depending on whether the particle in the 1-particle state |pi ∼ a†p |0i is massive or massless. • Massive representations: on a massive 1-particle state, P µ Pµ = P 2 has eigenvalue p2 = Ep2 − |p|2 = m2 where m is the mass of the particl ...
... is the Pauli-Lubanski pseudovector. We now consider two cases, depending on whether the particle in the 1-particle state |pi ∼ a†p |0i is massive or massless. • Massive representations: on a massive 1-particle state, P µ Pµ = P 2 has eigenvalue p2 = Ep2 − |p|2 = m2 where m is the mass of the particl ...
Quantum aspects of brain activity and the role of consciousness
... the metastable state changes into a stable one where no exocytosis is possible. In our model this can be visualized as a dropping of the potential left of the barrier to a value for which barrier penetration has vanishingly small probability. An approximate solution of the barrier penetration proble ...
... the metastable state changes into a stable one where no exocytosis is possible. In our model this can be visualized as a dropping of the potential left of the barrier to a value for which barrier penetration has vanishingly small probability. An approximate solution of the barrier penetration proble ...
Double-slit experiment From Wikipedia, the free encyclopedia Jump
... Philosophy is concerned with the nature of ideas about the world (or worlds), how those ideas are grounded, and how to ferret out self-contradictions. The double-slit experiment is of great interest therefore, because it forces philosophers to reevaluate their ideas about such basic concepts as "par ...
... Philosophy is concerned with the nature of ideas about the world (or worlds), how those ideas are grounded, and how to ferret out self-contradictions. The double-slit experiment is of great interest therefore, because it forces philosophers to reevaluate their ideas about such basic concepts as "par ...