Computation in a Topological Quantum Field Theory
... group on n elements acts on an ensemble of n identical particles as a symmetry of the composite system; more precisely, the system’s wave function remains unchanged up to a total phase. In this way Unitarity of our physical theories shows the resulting transform of the wave function is an element of ...
... group on n elements acts on an ensemble of n identical particles as a symmetry of the composite system; more precisely, the system’s wave function remains unchanged up to a total phase. In this way Unitarity of our physical theories shows the resulting transform of the wave function is an element of ...
Computational advantage from quantum
... first proposed in [2] that such a constraint can be relaxed: one can consider situations where the wires, and thus the order between gates, can be controlled by some extra variable. This is natural if one thinks of the circuit’s wires as quantum systems that can be in superposition. Such “superposit ...
... first proposed in [2] that such a constraint can be relaxed: one can consider situations where the wires, and thus the order between gates, can be controlled by some extra variable. This is natural if one thinks of the circuit’s wires as quantum systems that can be in superposition. Such “superposit ...
The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions c.
... This relationship gives us the grid spacing in momentum space. The central point in the momentum space grid is taken as k = 0, and the grid points are evenly distributed about zero. We now define an integer n by the relationship ...
... This relationship gives us the grid spacing in momentum space. The central point in the momentum space grid is taken as k = 0, and the grid points are evenly distributed about zero. We now define an integer n by the relationship ...
Solving Schrödinger`s Wave Equation
... This solution is sketched in Figure 13.6. Something quite remarkable has happened. We have simply applied the rules we developed earlier and have found a surprising, but very important, result. Classically, if the particle were in the region 0 ≤ x ≤ L1 , it would be trapped there forever since it co ...
... This solution is sketched in Figure 13.6. Something quite remarkable has happened. We have simply applied the rules we developed earlier and have found a surprising, but very important, result. Classically, if the particle were in the region 0 ≤ x ≤ L1 , it would be trapped there forever since it co ...
Deduction of the De Broglie`s relation λ=h/p from the classical
... In 1925, L. De Broglie proposed the idea of matter waves, which was that any particle is associated with a so-called pilot wave: The momentum of one and the wave-vector of the other are proportional and the coefficient of proportionality is a universal constant. Any particle of the 4d energy-momentu ...
... In 1925, L. De Broglie proposed the idea of matter waves, which was that any particle is associated with a so-called pilot wave: The momentum of one and the wave-vector of the other are proportional and the coefficient of proportionality is a universal constant. Any particle of the 4d energy-momentu ...
Minimum Dissipation Principle in Stationary Non
... where L+ is the adjoint of L with respect to the invariant measure, namely the generator of the time reversed microscopic dynamics. The term L − L+ behaves like a Liouville operator, i.e., is antihermitian and, in the scaling limit, produces the term A in the hydrodynamic equation. This can be verif ...
... where L+ is the adjoint of L with respect to the invariant measure, namely the generator of the time reversed microscopic dynamics. The term L − L+ behaves like a Liouville operator, i.e., is antihermitian and, in the scaling limit, produces the term A in the hydrodynamic equation. This can be verif ...
CENTRAL FORCE PROBLEMS
... Figure 1: At left: a classical scattering process into which two particles enter, and from which (after some action-at-a-distance has gone on) two particles depart. Bound interaction can be thought of as an endless sequence of scattering processes. At right: mediated interaction, as contemplated in ...
... Figure 1: At left: a classical scattering process into which two particles enter, and from which (after some action-at-a-distance has gone on) two particles depart. Bound interaction can be thought of as an endless sequence of scattering processes. At right: mediated interaction, as contemplated in ...
Quantum Computing Applications
... many physically reasonable cases. Applications: quantum chemistry, superconductivity, metamaterials, high-energy physics, . . . [Georgescu et al ’13] ...
... many physically reasonable cases. Applications: quantum chemistry, superconductivity, metamaterials, high-energy physics, . . . [Georgescu et al ’13] ...
The Principle of Least Action in Dynamics - damtp
... involves the body’s energy. This is called the Principle of Least Action. The equations of motion can be derived from this principle. Essentially all the laws of physics, describing everything from the smallest elementary particle to the motion of galaxies in the expanding universe can be understood ...
... involves the body’s energy. This is called the Principle of Least Action. The equations of motion can be derived from this principle. Essentially all the laws of physics, describing everything from the smallest elementary particle to the motion of galaxies in the expanding universe can be understood ...
Wave Mechanics
... of the preparation procedure, the state of each particle will be given by the same wave function Ψ(x, t), though it is common practice (and a point of contention) in quantum mechanics to say that the wave function describes the whole ensemble, not each one of its members. We will however usually ref ...
... of the preparation procedure, the state of each particle will be given by the same wave function Ψ(x, t), though it is common practice (and a point of contention) in quantum mechanics to say that the wave function describes the whole ensemble, not each one of its members. We will however usually ref ...
The TESLA Accelerator and Linear Collider
... Why Beamstrahlung is bad • Large number of high-energy photons interact with electron (positron) beam and generate e+e pairs – Low energies (0.6), pairs made by incoherent process (photons interact directly with individual beam particles) – High energies (0.6100), coherent pairs are generated ...
... Why Beamstrahlung is bad • Large number of high-energy photons interact with electron (positron) beam and generate e+e pairs – Low energies (0.6), pairs made by incoherent process (photons interact directly with individual beam particles) – High energies (0.6100), coherent pairs are generated ...
Quantum information processing with superconducting qubits in a
... Rabi oscillation with k photons involved in the state transition; when k = 1, it reduces to the usual single-photon Rabi oscillation [27]. Very recently, Nakamura et al. [22] investigated the temporal behavior of a Cooper-pair box driven by a strong microwave field and observed the Rabi oscillations ...
... Rabi oscillation with k photons involved in the state transition; when k = 1, it reduces to the usual single-photon Rabi oscillation [27]. Very recently, Nakamura et al. [22] investigated the temporal behavior of a Cooper-pair box driven by a strong microwave field and observed the Rabi oscillations ...
“Formal” vs. “Empirical” Approaches to Quantum
... at the level of the real physical behavior that can be accurately (if approximately) modeled in the theories. It is conceivable that one could successfully effect an empirical reduction by means of a formal reduction: if the reduced theory is a special case of the reducing theory, then any physical ...
... at the level of the real physical behavior that can be accurately (if approximately) modeled in the theories. It is conceivable that one could successfully effect an empirical reduction by means of a formal reduction: if the reduced theory is a special case of the reducing theory, then any physical ...