Quantum Symmetric States - UCLA Department of Mathematics
... The tail σ-algebra is the intersection of the σ-algebras generated by {xN , xN +1 , . . .} as N goes to ∞. Thus, the expectation E can be seen as an integral (w.r.t. a probability measure on the tail algebra) — that is, as a sort of convex combination — of expectations with respect to which the rand ...
... The tail σ-algebra is the intersection of the σ-algebras generated by {xN , xN +1 , . . .} as N goes to ∞. Thus, the expectation E can be seen as an integral (w.r.t. a probability measure on the tail algebra) — that is, as a sort of convex combination — of expectations with respect to which the rand ...
Machine invention of quantum computing circuits by means
... “quantum bits” (also called “qubits”). In a true quantum computer the qubits would be embodied as photons, nuclear spins, trapped atoms, or other two-state physical systems, and the quantum gates would be implemented as processes or configurations that transform those systems. Such hardware is curre ...
... “quantum bits” (also called “qubits”). In a true quantum computer the qubits would be embodied as photons, nuclear spins, trapped atoms, or other two-state physical systems, and the quantum gates would be implemented as processes or configurations that transform those systems. Such hardware is curre ...
Universal formalism of Fano resonance
... asymmetric profile has been studied much later.12,33–35 Our approach to probing into the nature of the q parameter consists of two steps. First, by using the non-equilibrium Green’s function to calculate, for all scattering channels, the transmission as a function of the Fermi energy, we derive a fo ...
... asymmetric profile has been studied much later.12,33–35 Our approach to probing into the nature of the q parameter consists of two steps. First, by using the non-equilibrium Green’s function to calculate, for all scattering channels, the transmission as a function of the Fermi energy, we derive a fo ...
On the Distribution of the Wave Function for Systems in Thermal
... are represented by probability distributions on the phase space. In quantum mechanics, ensembles are usually represented by density matrices. It is natural to regard these density matrices as arising from probability distributions on the (normalized) wave functions associated with the thermodynamica ...
... are represented by probability distributions on the phase space. In quantum mechanics, ensembles are usually represented by density matrices. It is natural to regard these density matrices as arising from probability distributions on the (normalized) wave functions associated with the thermodynamica ...
Dynamics of the quantum Duffing oscillator in the driving induced q
... first harmonic of the Fourier expansion. These two quantities are used to study the non-linear response of the anharmonic resonator in the stationary long-time limit. The short time dynamics of such a type of master equation is an interesting issue by itself since it is related to the question of com ...
... first harmonic of the Fourier expansion. These two quantities are used to study the non-linear response of the anharmonic resonator in the stationary long-time limit. The short time dynamics of such a type of master equation is an interesting issue by itself since it is related to the question of com ...
Exponential algorithmic speedup by quantum walk Andrew M. Childs, Richard Cleve, Enrico Deotto,
... Vc |a, b, ri = |a, b ⊕ vc (a), r ⊕ fc (a)i , ...
... Vc |a, b, ri = |a, b ⊕ vc (a), r ⊕ fc (a)i , ...
