Quantum Networking and Internetworking
... Various techniques for managing these errors have been developed, some based on classical error correction and erasure correction techniques, others on uniquely quantum approaches [11]. Purification, in which two or more multi-qubit states are manipulated to form one higher-fidelity state, uses few ...
... Various techniques for managing these errors have been developed, some based on classical error correction and erasure correction techniques, others on uniquely quantum approaches [11]. Purification, in which two or more multi-qubit states are manipulated to form one higher-fidelity state, uses few ...
Are there basic laws of quantum information processing?
... two ways we are in position to interpret the result of the previous section. The two equivalent statements 1 and 2′ are formulations of the same restriction for quantum information processing in terms of quantum real and virtual information respectively. Following the proof, one can see that the no- ...
... two ways we are in position to interpret the result of the previous section. The two equivalent statements 1 and 2′ are formulations of the same restriction for quantum information processing in terms of quantum real and virtual information respectively. Following the proof, one can see that the no- ...
Quantum numbers for relative ground states of antiferromagnetic
... a + 1 = N s − 1/2, N does never divide (2a + 1). The k-rule therefore yields, that the total spin of the absolute ground state is S = 0 for N s integer and S = 1/2 for N s half integer. As an example we would like to discuss the case of N = 5 and s = 1, compare Table I. The magnon vacuum a = 0 has t ...
... a + 1 = N s − 1/2, N does never divide (2a + 1). The k-rule therefore yields, that the total spin of the absolute ground state is S = 0 for N s integer and S = 1/2 for N s half integer. As an example we would like to discuss the case of N = 5 and s = 1, compare Table I. The magnon vacuum a = 0 has t ...
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 ...
Classical-quantum correspondence and the
... orbits [3]. In the work to be discussed here, we seek to establish quantitative connections between the quantum mechanical properties (level spectrum, wavefunctions) of a Hamiltonian of physical interest and the classical mechanics (regular, chaotic, mixed phase space [4, 5]) of the corresponding h̄ ...
... orbits [3]. In the work to be discussed here, we seek to establish quantitative connections between the quantum mechanical properties (level spectrum, wavefunctions) of a Hamiltonian of physical interest and the classical mechanics (regular, chaotic, mixed phase space [4, 5]) of the corresponding h̄ ...
Decoherence and the Transition from Quantum to Classical–Revisited
... between the physical Universe and consciousness. Needless to say, this is a very uncomfortable place to do physics. In spite of the profound nature of the difficulties, recent years have seen a growing consensus that progress is being made in dealing with the measurement problem, which is the usual ...
... between the physical Universe and consciousness. Needless to say, this is a very uncomfortable place to do physics. In spite of the profound nature of the difficulties, recent years have seen a growing consensus that progress is being made in dealing with the measurement problem, which is the usual ...
Particle Physics Part III Major Option 2008
... Empirically, the strong force is short range and therefore know that the physical gluons are confined. The colour singlet state does not exist in nature ! NOTE: this is not entirely ad hoc. In the context of gauge field theory (see minor option) the strong interaction arises from a fundamental SU( ...
... Empirically, the strong force is short range and therefore know that the physical gluons are confined. The colour singlet state does not exist in nature ! NOTE: this is not entirely ad hoc. In the context of gauge field theory (see minor option) the strong interaction arises from a fundamental SU( ...
NOTE2: Derivation of the wave equation
... membrane for the dimensional case. The derivation of these models is mainly based on Newton’s Second Law of Motion (Force = mass × acceleration). 1. The One-Dimensional Wave Equation We derive the simplest form of the wave equation for the idealized string by making a number of assumption on the phy ...
... membrane for the dimensional case. The derivation of these models is mainly based on Newton’s Second Law of Motion (Force = mass × acceleration). 1. The One-Dimensional Wave Equation We derive the simplest form of the wave equation for the idealized string by making a number of assumption on the phy ...
Quantum Correlations in Optical Angle–Orbital Angular Momentum
... have previously been used to measure the orbital angular momentum of down-converted photons (25, 26), we used a spatial variation in the blazing function (27) to also measure the angular position of the down-converted photons. The advantage of SLMs over static holographic components, or other phase ...
... have previously been used to measure the orbital angular momentum of down-converted photons (25, 26), we used a spatial variation in the blazing function (27) to also measure the angular position of the down-converted photons. The advantage of SLMs over static holographic components, or other phase ...
Paired states of fermions in two dimensions with breaking of parity
... viewed as a p-wave paired state of two-component composite fermions [13,35,36]. It is likely that this is closely related to a FQHE state observed in double-layer and single-thick-layer systems at ν = 1/2 [37,38]. Moore and Read [14] suggested that nonabelian statistics might occur in QH states, and ...
... viewed as a p-wave paired state of two-component composite fermions [13,35,36]. It is likely that this is closely related to a FQHE state observed in double-layer and single-thick-layer systems at ν = 1/2 [37,38]. Moore and Read [14] suggested that nonabelian statistics might occur in QH states, and ...
Complete Analytical Solutions of the Mie
... The exact bound-state solutions of the Schrödinger equation with physically significant potentials play a major role in quantum mechanics. Over the decades, exact solutions of the multidimensional Schrödinger equation have attracted much interest. Problems involving the N-dimensional Schrödinger equ ...
... The exact bound-state solutions of the Schrödinger equation with physically significant potentials play a major role in quantum mechanics. Over the decades, exact solutions of the multidimensional Schrödinger equation have attracted much interest. Problems involving the N-dimensional Schrödinger equ ...
Renormalization group
In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.