A quantum logical and geometrical approach to the study of
... more information than “the sum” of the information contained in the states of its parts. This feature of quantum systems may be regarded as a strange fact when using classical reasoning, but it not strange at all in a landscape where the superposition principle holds. Given two systems S1 and S2, if ...
... more information than “the sum” of the information contained in the states of its parts. This feature of quantum systems may be regarded as a strange fact when using classical reasoning, but it not strange at all in a landscape where the superposition principle holds. Given two systems S1 and S2, if ...
Review - Sociedade Brasileira de Química
... some attempts to describe the ground state and the lowtemperature thermodynamics of these compounds. In particular, we report on analytical and numerical results on polymeric chains of correlated electrons in special unit cell topologies shown in Figure 1. ...
... some attempts to describe the ground state and the lowtemperature thermodynamics of these compounds. In particular, we report on analytical and numerical results on polymeric chains of correlated electrons in special unit cell topologies shown in Figure 1. ...
Momentum Maps, Dual Pairs and Reduction in
... defined by τ (v) = J1 (v) − J2 (v) satisfies [τ (v), f ]? = 0 for all f ∈ C ∞ (M ). Thus τ (v) ∈ C[[~]], ∀v ∈ g. It is not hard to see that τ : g −→ C[[~]] is in fact a 1-cocycle. We then have an analog of Prop. 1.3. Proposition 2.6 (Xu, [33]) If H 1 (g) = 0, then quantum momentum maps are unique. T ...
... defined by τ (v) = J1 (v) − J2 (v) satisfies [τ (v), f ]? = 0 for all f ∈ C ∞ (M ). Thus τ (v) ∈ C[[~]], ∀v ∈ g. It is not hard to see that τ : g −→ C[[~]] is in fact a 1-cocycle. We then have an analog of Prop. 1.3. Proposition 2.6 (Xu, [33]) If H 1 (g) = 0, then quantum momentum maps are unique. T ...
Presentation - Quantum History Project
... discrete spectra. Example: spin components 2̂ x , 2̂ y , 2̂ z , dealt with in NB II. For Jordan, 3̂ and &ˆ are conjugate variables if: (1) ! ( 3, & ) = #3|&$ = e – i3& h ...
... discrete spectra. Example: spin components 2̂ x , 2̂ y , 2̂ z , dealt with in NB II. For Jordan, 3̂ and &ˆ are conjugate variables if: (1) ! ( 3, & ) = #3|&$ = e – i3& h ...
Interface between path and orbital angular momentum
... Generation of OAM modes with a MS in reverse. Transverse spatial LG modes have a helical phase front eily, where l can take any integer value and represents the quanta of OAM each individual photon possesses20. If la0, such modes exhibit a vortex along the beam axis and show a ring-shaped intensity ...
... Generation of OAM modes with a MS in reverse. Transverse spatial LG modes have a helical phase front eily, where l can take any integer value and represents the quanta of OAM each individual photon possesses20. If la0, such modes exhibit a vortex along the beam axis and show a ring-shaped intensity ...
The Free Particle (PowerPoint)
... The dual nature of matter (Quick Time movie 9 MB from Wilson group, *** ) Linear polarized light ( a wave function in 1-D would propagate in a similar way) (1 MB Quick time movie from the Wilson Group, *****) Circular polarized light ( ( a wave function could propagate in a similar way) (6 MB Quick ...
... The dual nature of matter (Quick Time movie 9 MB from Wilson group, *** ) Linear polarized light ( a wave function in 1-D would propagate in a similar way) (1 MB Quick time movie from the Wilson Group, *****) Circular polarized light ( ( a wave function could propagate in a similar way) (6 MB Quick ...
Quantum graphs and the integer quantum Hall effect
... Quantum graphs have been the focus of much interest during the last thirty years [1–3]. These models which describe the propagation of a quantum wave within an arbitrary complex object are extremely versatile allowing the study of various interesting quantum phenomena. Quantum graphs appear in vario ...
... Quantum graphs have been the focus of much interest during the last thirty years [1–3]. These models which describe the propagation of a quantum wave within an arbitrary complex object are extremely versatile allowing the study of various interesting quantum phenomena. Quantum graphs appear in vario ...
Quantum Clustering Algorithms - The International Machine
... mechanics in order to compute a function simultaneously on arbitrarily many inputs. Quantum interference makes it possible for the logical paths of a computation to interfere in a constructive or destructive manner. As a result of interference, computational paths leading to desired results can rein ...
... mechanics in order to compute a function simultaneously on arbitrarily many inputs. Quantum interference makes it possible for the logical paths of a computation to interfere in a constructive or destructive manner. As a result of interference, computational paths leading to desired results can rein ...
Quantum analogue computing
... methods kick in wherever analytical calculations become too complicated or intractable, which can happen even for simple systems, like three bodies moving under their mutual gravitational interactions. We use computer simulation to test our models of the real world, by calculating in detail what the ...
... methods kick in wherever analytical calculations become too complicated or intractable, which can happen even for simple systems, like three bodies moving under their mutual gravitational interactions. We use computer simulation to test our models of the real world, by calculating in detail what the ...
Comment on “Quantum Monte Carlo Approach to Elementary
... In this Comment, we would like to point out why we feel this result to be inconsistent with other findings, and that it must be considered as a lower bound of the actual gap. The two main issues seem to be system size and the extrapolation law: His results up to L 128 are extrapolated in a 1yL plo ...
... In this Comment, we would like to point out why we feel this result to be inconsistent with other findings, and that it must be considered as a lower bound of the actual gap. The two main issues seem to be system size and the extrapolation law: His results up to L 128 are extrapolated in a 1yL plo ...
Orbitals Package Examples Introduction Initialization
... The Orbitals package is useful for plotting and manipulating atomic orbitals. Numerical results are available by specifying all parameters, but symbolic arguments generally lead to general formulas. If one or two parameters are left symbolic, plots readily show the variation with the parameter(s), e ...
... The Orbitals package is useful for plotting and manipulating atomic orbitals. Numerical results are available by specifying all parameters, but symbolic arguments generally lead to general formulas. If one or two parameters are left symbolic, plots readily show the variation with the parameter(s), e ...
Realization of the Cirac–Zoller controlled
... agree well with the calculated ideal evolution (given by the solid lines in Fig. 1, no fit parameters). The outcome of the gate operation is inferred from the measured state after the final pulse and it proves ...
... agree well with the calculated ideal evolution (given by the solid lines in Fig. 1, no fit parameters). The outcome of the gate operation is inferred from the measured state after the final pulse and it proves ...
What can string theory teach us about condensed matter physics?
... None of these phases are CFTs Their electron densities are variable, i.e. they are compressible, and they are electrical conductors. While finding such phases is simple at high temperatures, there are only a few possible compressible quanutm phases... ...
... None of these phases are CFTs Their electron densities are variable, i.e. they are compressible, and they are electrical conductors. While finding such phases is simple at high temperatures, there are only a few possible compressible quanutm phases... ...
PACS numbers: 32.80.Pj, 42.50.Vk, 89.80.+h In a quantum computer
... Using the “factorization curve” specified by eqs. (7) and (8), one can obtain as before a value for the number of bits l in the largest number which may be factored. In this case the value of l will depend on the value of the coherence time τe . In figure 2 we have plotted the values of l as a funct ...
... Using the “factorization curve” specified by eqs. (7) and (8), one can obtain as before a value for the number of bits l in the largest number which may be factored. In this case the value of l will depend on the value of the coherence time τe . In figure 2 we have plotted the values of l as a funct ...
Show by a theoretical and experimental argument that potassium
... search for the electron EDM utilizing paramagnetic atoms, the most sensitive of which is done with Tl atoms(the result is de=[1.8±1.2 (stat)±1.0 (syst)]×10 –27 e.cm) [3], and search for the EDM of diamagnetic atoms, the most sensitive of which is done with 199Hg(the new result is d(Hg)=[0.49±1.29(st ...
... search for the electron EDM utilizing paramagnetic atoms, the most sensitive of which is done with Tl atoms(the result is de=[1.8±1.2 (stat)±1.0 (syst)]×10 –27 e.cm) [3], and search for the EDM of diamagnetic atoms, the most sensitive of which is done with 199Hg(the new result is d(Hg)=[0.49±1.29(st ...
A Hierarchical Approach to Computer-Aided Design of
... matrices, until basic directly realizable quantum primitives are reached. This problem is very difficult in such basic formulation and therefore several special methods have been and are being developed, especially in the last 5 years. Probabilistic calculations based on this representation are used ...
... matrices, until basic directly realizable quantum primitives are reached. This problem is very difficult in such basic formulation and therefore several special methods have been and are being developed, especially in the last 5 years. Probabilistic calculations based on this representation are used ...
A quantum computing primer for operator theorists
... fields promise far reaching applications [12,24,41,60], there are still many theoretical and experimental issues that must be overcome, and many involve deep mathematical problems. The main goal of this paper is to provide a primer on some of the basic aspects of quantum computing for researchers wi ...
... fields promise far reaching applications [12,24,41,60], there are still many theoretical and experimental issues that must be overcome, and many involve deep mathematical problems. The main goal of this paper is to provide a primer on some of the basic aspects of quantum computing for researchers wi ...
Bell's theorem
.svg?width=300)
Bell's theorem is a ‘no-go theorem’ that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics. This theorem is named after John Stewart Bell.In its simplest form, Bell's theorem states:Cornell solid-state physicist David Mermin has described the appraisals of the importance of Bell's theorem in the physics community as ranging from ""indifference"" to ""wild extravagance"". Lawrence Berkeley particle physicist Henry Stapp declared: ""Bell's theorem is the most profound discovery of science.""Bell's theorem rules out local hidden variables as a viable explanation of quantum mechanics (though it still leaves the door open for non-local hidden variables). Bell concluded:Bell summarized one of the least popular ways to address the theorem, superdeterminism, in a 1985 BBC Radio interview: