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Weyl--Heisenberg Representations in Communication Theory
Weyl--Heisenberg Representations in Communication Theory

... The theoretical description of the communication in time–varying environments is of central relevance for further increase of the efficiency and the data rate of future transmission techniques. In particular, the quasi–statistical assumption widely used for mobile wireless communication channels is ...
PhysRevB.89.020408 - FU Berlin
PhysRevB.89.020408 - FU Berlin

... Introduction. Frustrated magnetism is a focus of contemporary research in condensed matter physics, combining a plethora of experimental scenarios and diverse theoretical approaches to describe them. One of the most fascinating challenges of the field has been to investigate and understand the inter ...
Macroscopic quantum Schro¨dinger and Einstein–Podolsky–Rosen
Macroscopic quantum Schro¨dinger and Einstein–Podolsky–Rosen

... implies the predetermined state of ‘dead’. The variance of the conditional distribution Pðxj þ 1Þ for the result x at A, given that the measurement at B implies the þ1 outcome at A, is 2þ x and this gives the degree of definiteness, in the prediction of x, associated with the hidden variable 1 ¼ 1; ...
Classical Cryptographic Protocols in a Quantum World
Classical Cryptographic Protocols in a Quantum World

... as functions of n, unless otherwise specified. A function f (n) is said to be negligible if f = o (n−c ) for any constant c, and negl (n) is used to denote an unspecified function that is negligible in n. We also use poly(n) to denote an unspecified function f (n) = O(nc ) for some constant c. Let X ...
Quantum Computing with Majorana Fermions Coupled to
Quantum Computing with Majorana Fermions Coupled to

Multiphoton population transfer in systems violating the classical twist condition: A... study of separatrix crossing in phase space
Multiphoton population transfer in systems violating the classical twist condition: A... study of separatrix crossing in phase space

... As an indispensable tool in manipulation of atomic and molecular systems, population transfer between bound states of atoms and vibrational modes of molecules has received a lot of attention from both experimental and theoretical fronts. From the molecular perspective, preparation of advantageous in ...
The quantum vacuum as the origin of the speed of light
The quantum vacuum as the origin of the speed of light

... state physics the successful determination of Fermi energies [2] implies that one electron spin state occupies a hyper volume h3 . We assume that concerning the Pauli principle, the ephemeral fermions are similar to the real ones. Noting Δxi the spacing between identical i-type fermions and pi their ...
Cosmic quantum measurement - Proceedings of the Royal Society A
Cosmic quantum measurement - Proceedings of the Royal Society A

... includes those quantum ®uctuations that are ampli­ ed by chaotic dynamics to produce signi­ cant changes in classical dynamical variables. For such measurements, these are the dynamical variables of the measurer, although there is no measuring apparatus in the usual sense. Assume, therefore, that qu ...
sclecture7
sclecture7

... We have seen that in a Type II superconductor small narrow tubes of flux start to enter the bulk of the superconductor at the lower critical field Hc1 We now know that these tubes must be quantised The very first flux line that enters at Hc1 must therefore contain a single flux quantum o Therefore ...
How to solve Fokker-Planck equation treating mixed eigenvalue
How to solve Fokker-Planck equation treating mixed eigenvalue

... M. Brics1 , J. Kaupužs2 , R. Mahnke1 1 Institute of Physics, Rostock University, D–18051 Rostock, Germany 2 Institute of Mathematics and Computer Science, University of Latvia, LV–1459 Riga, Latvia ...
Mathematical Aspects of Quantum Theory and Quantization Summer
Mathematical Aspects of Quantum Theory and Quantization Summer

... of their scientific interest, think of Atiyah, Manin, Connes. My lectures here will try to give a local, modest, very modest, microscopic push in the other direction. What topics will be discussed in these lectures? The general subject is quantum theory, as a physical theory, but with an emphasis on ...
Three-Wave Mixing with Three Incoming Waves: Signal
Three-Wave Mixing with Three Incoming Waves: Signal

Fractional @ Scaling for Quantum Kicked Rotors without Cantori
Fractional @ Scaling for Quantum Kicked Rotors without Cantori

... We note that the trapping regions and the standard map golden-cantori regions occupy similar regions of phase space: the golden tori occur at winding number p0 =2  0:618 and p0 =2  1  0:618. The trapping occurs for p0 =2  0:5 (e.g., momentum p  ), exactly midway between these. In Fig. 4 w ...
Quantum Biology at the Cellular Level
Quantum Biology at the Cellular Level

... tunneling of the much heavier proton in enzyme action (Liang and Klinman, 2004). Albeit more controversial, the potential role of solitons in protein dynamics (Davydov, 1973; Cruzeiro-Hansson and Takeno, 1997) belongs to this category. Recently, the near-perfect efficiency of photosynthesis was indi ...
Phys. Rev. Lett. 104, 255303
Phys. Rev. Lett. 104, 255303

Quantum Dot Computing Gates
Quantum Dot Computing Gates

How Many Query Superpositions Are Needed to Learn?
How Many Query Superpositions Are Needed to Learn?

... In query learning two players, the learner and the teacher, play a game. The learner is a (classical) randomized algorithm and the teacher is an oracle function. Some concept class C (the target concept class) is known to both players and the teacher chooses a concept in C (the target concept) that ...
Efficient Method to Perform Quantum Number Projection and
Efficient Method to Perform Quantum Number Projection and

... that all the states connected by the symmetry operation, e.g., rotation of the system, are degenerate. Superposition of all these degenerate states gives a better quantum mechanical description in the variational sense, as it is clear in the formulation of the generator coordinate method (GCM). Sinc ...
Aharanov-Bohm Interference and Fractional Statistics - Eun
Aharanov-Bohm Interference and Fractional Statistics - Eun

... that are distance R apart. This assumption introduces an additional energy scale v=R to the oscillatory term. The lowest order perturbation theory captures the crossover associated with this scale, allowing us to produce a full crossover curve. Hence an experimental observation of this crossover i ...
Quantum Optics Toolbox User`s Guide
Quantum Optics Toolbox User`s Guide

... equation for the density matrix[1] or by using some state-vector based approach such as the quantum Monte Carlo technique[2][3]. Starting from the Hamiltonian of the system and the coupling to the baths, it is in principle a simple process to derive either the master equation or the stochastic Schrö ...
Full Text - University of Arizona
Full Text - University of Arizona

... R = φl |φl  µw , L = φl−1 |φl  µw . For the ground bands in the TB approximation, a large asymmetry in right-left transport and isolation of double wells arises from small asymmetry in right-left displacement of the lattice due to the Gaussian overlap of the wave packets (see Fig. 1). The combi ...
Full-Text PDF
Full-Text PDF

... The main point here is that for an electronic structure, the (D → ∞)-limit is beguilingly simple and exactly computable for any atom and molecule. For D finite, but very large, the electrons are confined to harmonic oscillations about the fixed positions attained in the (D → ∞)-limit. Indeed, in thi ...
Small Josephson Junctions in Resonant Cavities
Small Josephson Junctions in Resonant Cavities

Exploring dynamical phase transitions and prethermalization with
Exploring dynamical phase transitions and prethermalization with

... systems. In this work, we will discuss possible experimental consequences of dynamical phase transitions occurring after an abrupt change of one of the parameters of an isolated quantum system (a quantum quench). At long times after the quantum quench a many-body system is expected either to thermal ...
The Age of Entanglement  Quantum Computing the (Formerly) Uncomputable
The Age of Entanglement Quantum Computing the (Formerly) Uncomputable

... accumulate over time on the plate. This plate is something analogous to the photodetector called a CCD (charge-coupled device) used in your video camera. When we turn on the experiment, the photo-plate responds at the positions where it records a photon. After only several photons have been detected ...
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Coherent states

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