Asymptotics of repeated interaction quantum systems Laurent Bruneau , Alain Joye
... that ΩS and ΩE are cyclic and separating for MS and ME , respectively. One may typically think of these distinguished vectors as being KMS vectors. The Hilbert space of the chain C is defined to be the infinite tensor product HC = ⊗m≥1 HE ...
... that ΩS and ΩE are cyclic and separating for MS and ME , respectively. One may typically think of these distinguished vectors as being KMS vectors. The Hilbert space of the chain C is defined to be the infinite tensor product HC = ⊗m≥1 HE ...
01 introduction to quantum physics
... Superposition of Waves An important property of waves is that they “add” (or “subtract”). This is called superposition of waves. Superposition has profound implications for quantum physics If 1 and 2 are eigenfunctions for two possible states, then the system may exist with a wavefunction that ...
... Superposition of Waves An important property of waves is that they “add” (or “subtract”). This is called superposition of waves. Superposition has profound implications for quantum physics If 1 and 2 are eigenfunctions for two possible states, then the system may exist with a wavefunction that ...
Artificial Intelligence and Nature’s Fundamental Process Peter Marcer and Peter Rowlands
... the alphabet; R, for example, is not an alphabet. If, again for convenience, we write ‘conserve’ as →, we can then say that the ‘subalphabets’ of (R, R*) must concatenate with it to produce only (R, R*). So, if we say R (R, R*) → (R, R*), then we must have R* (R, R*) → (R*, R), which is the same to ...
... the alphabet; R, for example, is not an alphabet. If, again for convenience, we write ‘conserve’ as →, we can then say that the ‘subalphabets’ of (R, R*) must concatenate with it to produce only (R, R*). So, if we say R (R, R*) → (R, R*), then we must have R* (R, R*) → (R*, R), which is the same to ...
Time-dependent density equation and perturbation th
... C n is normalized to unity. However, for consistence with the previous paper [2], we use the normalization given by Eq. (8). The density equation was left unsolved, despite its potential utility, for two decades. Davidson and Harriman [5] pointed out that the number of unknowns included in the dens ...
... C n is normalized to unity. However, for consistence with the previous paper [2], we use the normalization given by Eq. (8). The density equation was left unsolved, despite its potential utility, for two decades. Davidson and Harriman [5] pointed out that the number of unknowns included in the dens ...
... in the “vacuum” zero-point electromagnetic radiation. We show, in the first part of the paper, that the generalized Liouville equation is reduced to a simpler Liouville equation in the equilibrium limit where the small radiative corrections cancel each other approximately. This leads us to a simpler ...
A Brief Introduction into Quantum Gravity and Quantum Cosmology
... We know today, in fact, that our classical mechanics fails for very small dimensions of the path and for very great curvatures. Perhaps this failure is in strict analogy with the failure of geometrical optics . . . that becomes evident as soon as the obstacles or apertures are no longer great compar ...
... We know today, in fact, that our classical mechanics fails for very small dimensions of the path and for very great curvatures. Perhaps this failure is in strict analogy with the failure of geometrical optics . . . that becomes evident as soon as the obstacles or apertures are no longer great compar ...
General Relativity, Black Holes and Quantum Field Theory in curved
... massive Dirac equation in the Kerr-Newman metric and the static perturbat ions for t he non-ext remal Reissner-Nordst röm solut ion t o a GHE. Surprisingly, GHE has been scarcely studied. Moreover, there exist PDEs such as Rarita-Schwinger, Dirac, Klein-Gordon, Teukolsky equantions which can be sep ...
... massive Dirac equation in the Kerr-Newman metric and the static perturbat ions for t he non-ext remal Reissner-Nordst röm solut ion t o a GHE. Surprisingly, GHE has been scarcely studied. Moreover, there exist PDEs such as Rarita-Schwinger, Dirac, Klein-Gordon, Teukolsky equantions which can be sep ...
Operator Imprecision and Scaling of Shor’s Algorithm
... the quantum state of the system that realizes the computation (decoherence), and (2) imprecision of the physical operations that are carried out to implement the computational algorithm [1, 2]. Errors due to environmental disturbances have been the main focus of analysis in the quantum computing lit ...
... the quantum state of the system that realizes the computation (decoherence), and (2) imprecision of the physical operations that are carried out to implement the computational algorithm [1, 2]. Errors due to environmental disturbances have been the main focus of analysis in the quantum computing lit ...
Section 2.5 Supplement
... Employing, as in Eqns.(2.87,2.88), the single valued representation of the wave functions, and repeating the calculation done for the linear approximation ...
... Employing, as in Eqns.(2.87,2.88), the single valued representation of the wave functions, and repeating the calculation done for the linear approximation ...
