Generation of highly entangled photon pairs for continuous variable
... can result in high dimensional entangled states at arbitrary wavelengths if short crystal segments are used. Thus, the technique presented here relies on imposing the condition B ¼ 0 so that the lowest order term in the argument of the N function is quartic in . Note that for this to be possible ...
... can result in high dimensional entangled states at arbitrary wavelengths if short crystal segments are used. Thus, the technique presented here relies on imposing the condition B ¼ 0 so that the lowest order term in the argument of the N function is quartic in . Note that for this to be possible ...
Operator Imprecision and Scaling of Shor’s Algorithm
... Quantum computation is a kind of continuous computation. The most familiar example of continuous computation is analog computation, which is central to analog electronics and other analog technologies such as hydraulics and pneumatics. The physical realization of a quantum computation must be a quan ...
... Quantum computation is a kind of continuous computation. The most familiar example of continuous computation is analog computation, which is central to analog electronics and other analog technologies such as hydraulics and pneumatics. The physical realization of a quantum computation must be a quan ...
A Brief Summary of My Researches
... to give the closed formulas for the generating series Gromov-Witten invariants of all toric Calabi-Yau manifolds of all genera and all degree in terms of the Chern-Simons invariants. These closed formulas are used to prove the Gopakumar-Vafa conjecture for all toric Calabi-Yau manifolds. (5). The co ...
... to give the closed formulas for the generating series Gromov-Witten invariants of all toric Calabi-Yau manifolds of all genera and all degree in terms of the Chern-Simons invariants. These closed formulas are used to prove the Gopakumar-Vafa conjecture for all toric Calabi-Yau manifolds. (5). The co ...
Atomic Physics - Oxford Physics
... We have already started getting a feel for typical values of parameters associated with spectral lines, so now is a good time to do the same for some other aspects of atoms. It is important to have some idea of the orders of magnitude associated with atoms and their structure. We will be looking at ...
... We have already started getting a feel for typical values of parameters associated with spectral lines, so now is a good time to do the same for some other aspects of atoms. It is important to have some idea of the orders of magnitude associated with atoms and their structure. We will be looking at ...
Three Quantum Algorithms to Solve 3-SAT
... class of distributed and parallel computing devices, inspired by the structure and functioning of living cells. The basic model consists of a hierarchical structure composed by several membranes, embedded into a main membrane called the skin. Membranes divide the Euclidean space into regions, that c ...
... class of distributed and parallel computing devices, inspired by the structure and functioning of living cells. The basic model consists of a hierarchical structure composed by several membranes, embedded into a main membrane called the skin. Membranes divide the Euclidean space into regions, that c ...
Chapter 7
... You are in a car. If you push on the dashboard, the car does not move. You are an internal force. If you get out of the car and push on the trunk, you can now move the car; you are now an external force. ...
... You are in a car. If you push on the dashboard, the car does not move. You are an internal force. If you get out of the car and push on the trunk, you can now move the car; you are now an external force. ...
New discoveries at the LHC
... promising preliminary results in our attempt to extend the search at the LHC. We chose to develop a tracking algorithm based on the Hough Transform to run on the GPUs in order to reconstruct the trajectory of the particles created after the collisions. The parallel algorithm not only permits simulta ...
... promising preliminary results in our attempt to extend the search at the LHC. We chose to develop a tracking algorithm based on the Hough Transform to run on the GPUs in order to reconstruct the trajectory of the particles created after the collisions. The parallel algorithm not only permits simulta ...
15. GRAND UNIFIED THEORIES 15. Grand Unified Theories 15.1. Grand Unification 1
... we would also understand why there are no fractionally charged hadrons. Finally, what is the origin of quark and lepton masses, or the apparent hierarchy of family masses and quark mixing angles? Perhaps if we understood this, we would also know the origin of CP violation, the solution to the strong ...
... we would also understand why there are no fractionally charged hadrons. Finally, what is the origin of quark and lepton masses, or the apparent hierarchy of family masses and quark mixing angles? Perhaps if we understood this, we would also know the origin of CP violation, the solution to the strong ...
Hidden Variables and Nonlocality in Quantum Mechanics
... At the present time, most physicists continue to hold a skeptical attitude toward the proposition of a ‘hidden variables’ interpretation of quantum theory, in spite of David Bohm’s successful construction of such a theory and John S. Bell’s strong arguments in favor of the idea. Many are convinced e ...
... At the present time, most physicists continue to hold a skeptical attitude toward the proposition of a ‘hidden variables’ interpretation of quantum theory, in spite of David Bohm’s successful construction of such a theory and John S. Bell’s strong arguments in favor of the idea. Many are convinced e ...
Simulations of the angular dependence of the dipole
... The energy exchange among Rydberg atoms has garnered great interest both as a probe of fundamental quantum dynamics and as a potential way to model other physical systems. The strong dipolar interactions among Rydberg atoms can block all but one excitation in a group of atoms, leading to a collectiv ...
... The energy exchange among Rydberg atoms has garnered great interest both as a probe of fundamental quantum dynamics and as a potential way to model other physical systems. The strong dipolar interactions among Rydberg atoms can block all but one excitation in a group of atoms, leading to a collectiv ...
... considerable philosophical differences, they almost universally agree on the practical question of what results from a routine quantum physics laboratory measurement (Wheeler, 1983). To describe this, a simple framework to use is the Copenhagen interpretation, the utility of this approach has been v ...
Memory cost of quantum contextuality Linköping University Post Print
... two bits for a simulation. Namely, in [29] an extension of the PM square has been introduced, involving 15 different observables in 15 different contexts. The argument goes as follows: consider the 15 observables of the type σµ ⊗ σν where µ, ν ∈ {0, x, y, z} and σ0 = 1 and the case µ = ν = 0 is excl ...
... two bits for a simulation. Namely, in [29] an extension of the PM square has been introduced, involving 15 different observables in 15 different contexts. The argument goes as follows: consider the 15 observables of the type σµ ⊗ σν where µ, ν ∈ {0, x, y, z} and σ0 = 1 and the case µ = ν = 0 is excl ...
Toward the Unification of Physics and Number Theory
... a novel hypothesis about the distribution of prime-simplexes that, if solved, may lead to a proof of the Riemann hypothesis. Specifically, if a geometric algorithm predicting the number of prime simplexes within any bound n-simplexes or associated An lattices is discovered, a deep understanding of t ...
... a novel hypothesis about the distribution of prime-simplexes that, if solved, may lead to a proof of the Riemann hypothesis. Specifically, if a geometric algorithm predicting the number of prime simplexes within any bound n-simplexes or associated An lattices is discovered, a deep understanding of t ...
Quantum coherent biomolecular energy transfer with spatially
... the basis of the Lindblad quantum master equation [48]. This technique goes beyond the secular approximation and thus can include effects of stronger coupling. However, the approach is still memoryless and leads to time-local evolution equations. Despite the fact that the experimental coherence beat ...
... the basis of the Lindblad quantum master equation [48]. This technique goes beyond the secular approximation and thus can include effects of stronger coupling. However, the approach is still memoryless and leads to time-local evolution equations. Despite the fact that the experimental coherence beat ...
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.