The roads not taken: empty waves, wavefunction collapse and
... makes reference to ‘particle’ properties such as mass, the linearly evolving wavefunction ψ ( x ) does not generally exhibit any feature that could be put into correspondence with a localized particle structure. To turn quantum mechanics into a theory of matter and motion, with real atoms and molecu ...
... makes reference to ‘particle’ properties such as mass, the linearly evolving wavefunction ψ ( x ) does not generally exhibit any feature that could be put into correspondence with a localized particle structure. To turn quantum mechanics into a theory of matter and motion, with real atoms and molecu ...
Classical continuum theory of the dipole-forbidden collective excitations in quantum... W. L. Schaich M. R. Geller and G. Vignale
... grating as a flat 2D conductor whose ~local! resistivity varies periodically in the y direction. To enhance the signal strength and simplify the analysis, we assume that the single wire studied before has been periodically repeated in the y direction with the same period d.2W that the grating has. T ...
... grating as a flat 2D conductor whose ~local! resistivity varies periodically in the y direction. To enhance the signal strength and simplify the analysis, we assume that the single wire studied before has been periodically repeated in the y direction with the same period d.2W that the grating has. T ...
Entanglement Monotones and Measures: an overview 1
... states are not entangled. 2. Non-separable states allow some tasks to be performed better than LOCC, in which case all non-separable system states are entangled: For any non-separable system state ρ, another such σ system state can be found, which is the result of teleportation fidelity, which can b ...
... states are not entangled. 2. Non-separable states allow some tasks to be performed better than LOCC, in which case all non-separable system states are entangled: For any non-separable system state ρ, another such σ system state can be found, which is the result of teleportation fidelity, which can b ...
Spin quantum computation in silicon nanostructures
... During the past decade, the study of quantum computing and quantum information processing has generated widespread interest among physicists from areas ranging from atomic physics, optics, to various branches of condensed matter physics [1, 2]. The key thrust behind the rush toward a working quantum ...
... During the past decade, the study of quantum computing and quantum information processing has generated widespread interest among physicists from areas ranging from atomic physics, optics, to various branches of condensed matter physics [1, 2]. The key thrust behind the rush toward a working quantum ...
A Model on Genome Evolution
... Many different estimates for the rate of evolution were made from the fossil records. As compiled by Gingerich[14][15] four hundred and nine such estimates were reported and they vary between 0 and 39 darwins in fossil linearage. Palebiological studies indicated that species usually change more rapi ...
... Many different estimates for the rate of evolution were made from the fossil records. As compiled by Gingerich[14][15] four hundred and nine such estimates were reported and they vary between 0 and 39 darwins in fossil linearage. Palebiological studies indicated that species usually change more rapi ...
Part II
... Non-abelian statistics Four e/4 anyons in the Moore-Read state can form two different states, let’s call them | 0 > and | 1 >. They form a special q-bit, in which we can use to store quantum information. Locally, these two states are indistinguishable, the only differences are global properties! So ...
... Non-abelian statistics Four e/4 anyons in the Moore-Read state can form two different states, let’s call them | 0 > and | 1 >. They form a special q-bit, in which we can use to store quantum information. Locally, these two states are indistinguishable, the only differences are global properties! So ...
Human Genetic Variation, Shared and Private
... for actual studies), and replicaUntil recently, the snapshot tion across populations will be of human genetic variation was mainly and function (1–6) and, hence, are poten- limited, as most of the rare variants will be restricted to variants at frequencies above tially involved in disease. The propo ...
... for actual studies), and replicaUntil recently, the snapshot tion across populations will be of human genetic variation was mainly and function (1–6) and, hence, are poten- limited, as most of the rare variants will be restricted to variants at frequencies above tially involved in disease. The propo ...
1. Gravitational Thermodynamics and the Cosmological Constant
... • Oscillations appear in the density of states at the tail of the partition function • These oscillations and the Bohr-Sommerfeld quantization condition are shown to have the same physical origin To obtain such huge amount of physical information from the calculation of a microcanonical partition fu ...
... • Oscillations appear in the density of states at the tail of the partition function • These oscillations and the Bohr-Sommerfeld quantization condition are shown to have the same physical origin To obtain such huge amount of physical information from the calculation of a microcanonical partition fu ...
ppt - QEC14
... starting to come over the horizon, but QEC could probably help more with this. There are correspondingly mighty plans on the drawing board to collect and process all the data that the surface code implies. I will show what small parts of these plans have come to fruition; QEC should also do some wor ...
... starting to come over the horizon, but QEC could probably help more with this. There are correspondingly mighty plans on the drawing board to collect and process all the data that the surface code implies. I will show what small parts of these plans have come to fruition; QEC should also do some wor ...
Relativistic and non-relativistic differential equations for the quantum
... The Schrödinger equation is based on the Planck-Einstein equations, which connect the wave and particle behavior of the quantum particles into each other. The differential equation is obtained by the jointly usage of the Planck-Einstein equations with the non-relativistic energy relation of classica ...
... The Schrödinger equation is based on the Planck-Einstein equations, which connect the wave and particle behavior of the quantum particles into each other. The differential equation is obtained by the jointly usage of the Planck-Einstein equations with the non-relativistic energy relation of classica ...
Quantum supergroups and canonical bases Sean Clark University of Virginia Dissertation Defense
... U̇ admits a π-signed canonical basis generalizing the basis for U− . For π = 1, this specializes to Lusztig’s canonical basis for U̇|π=1 . Idea of proof (generalizing Lusztig): Consider modules N(λ, λ0 ) → U̇1λ−λ0 as λ, λ0 → ∞. Define epimorphisms t : N(λ + λ00 , λ00 + λ0 ) → N(λ, λ0 ). ({N(λ, λ0 )} ...
... U̇ admits a π-signed canonical basis generalizing the basis for U− . For π = 1, this specializes to Lusztig’s canonical basis for U̇|π=1 . Idea of proof (generalizing Lusztig): Consider modules N(λ, λ0 ) → U̇1λ−λ0 as λ, λ0 → ∞. Define epimorphisms t : N(λ + λ00 , λ00 + λ0 ) → N(λ, λ0 ). ({N(λ, λ0 )} ...
Observational Probabilities in Quantum Cosmology
... location B with the projection operators there being PB 1 and P2 . C C Similarly, it would give the probabilities P1 = σ[P1 ] and P2C = σ[PC2 ] if the observer knew that it were at location C with the projection operators there being PC1 and PC2 . However, if the observer is not certain to be at eit ...
... location B with the projection operators there being PB 1 and P2 . C C Similarly, it would give the probabilities P1 = σ[P1 ] and P2C = σ[PC2 ] if the observer knew that it were at location C with the projection operators there being PC1 and PC2 . However, if the observer is not certain to be at eit ...
Quantum cobordisms and formal group laws
... of characteristics applied to the following PDE (called the string equation): ∂0F0 − t1∂t0 F0 − t2 ∂t1 F0 − ... = t20/2. The initial condition F0 = 0 at t0 = 0 holds for dimensional reasons: dimR M0,n < 2n = deg(ψ1 ...ψn). The string equation itself expresses the well-known fact that for i = 1, ..., ...
... of characteristics applied to the following PDE (called the string equation): ∂0F0 − t1∂t0 F0 − t2 ∂t1 F0 − ... = t20/2. The initial condition F0 = 0 at t0 = 0 holds for dimensional reasons: dimR M0,n < 2n = deg(ψ1 ...ψn). The string equation itself expresses the well-known fact that for i = 1, ..., ...
Folds, Bosonization and non-triviality of the classical limit of 2D
... The double scaling limit of the one dimensional matrix model provides a non-perturbative formulation of two dimensional string theory in the Liouville background [1]. Classically, in the two dimensional string theory one expects that a matter wave with sufficient energy and energy density will coll ...
... The double scaling limit of the one dimensional matrix model provides a non-perturbative formulation of two dimensional string theory in the Liouville background [1]. Classically, in the two dimensional string theory one expects that a matter wave with sufficient energy and energy density will coll ...
Foundations of Physics An International Journal Devoted to the
... assumption is baseless. No experimental evidence can support it. The one and only justification of this assumption is the mathematical observation that, as one of the many constraints required by internal consistency of the resulting scheme, some of the stringlike excitations (the lowest closed stri ...
... assumption is baseless. No experimental evidence can support it. The one and only justification of this assumption is the mathematical observation that, as one of the many constraints required by internal consistency of the resulting scheme, some of the stringlike excitations (the lowest closed stri ...
Representation Theory: Applications in Quantum Mechanics
... If φ = ∝⊕β, for some functions ∝ and β, then ∝ and β are themselves representations of G. Def. us If there matrix P such that for all g in G, Leads to ideaisofsome reducibility: ...
... If φ = ∝⊕β, for some functions ∝ and β, then ∝ and β are themselves representations of G. Def. us If there matrix P such that for all g in G, Leads to ideaisofsome reducibility: ...
Particle Statistics Affects Quantum Decay and Fano Interference
... The experimental points for fermions do not reach exactly zero due to imperfections in preparing the entangled state and slight polarization dependence of the photonic device. Imperfections in the entangled state preparation could be both in the π phase, giving the minus sign in the antisymmetric st ...
... The experimental points for fermions do not reach exactly zero due to imperfections in preparing the entangled state and slight polarization dependence of the photonic device. Imperfections in the entangled state preparation could be both in the π phase, giving the minus sign in the antisymmetric st ...
on line
... geometry. When the subset G forms a group and the group law is polynomial, the product map G × G → G becomes under the correspondence an algebra homomorphism ∆ going the other way. Likewise for the rest of the Hopf algebra structure. Two examples are as follows. The “affine line” is described by the ...
... geometry. When the subset G forms a group and the group law is polynomial, the product map G × G → G becomes under the correspondence an algebra homomorphism ∆ going the other way. Likewise for the rest of the Hopf algebra structure. Two examples are as follows. The “affine line” is described by the ...