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Quantum error-correcting codes from algebraic curves
Quantum error-correcting codes from algebraic curves

... sical codes via the CSS construction. Finally Section 1.3 explains quantum codes from algebraic geometry codes. We consider quantum Reed-Solomon codes, quantum Hermitian codes, quantum codes from hyperelliptic curves, and quantum codes from multipoint AG codes. We also discuss asymptotic behaviors o ...
Study of frequency-modulated excitation of Rydberg potassium
Study of frequency-modulated excitation of Rydberg potassium

Universitat Autonoma de Barcelona Facultat de Ciencies, Departament de F sica
Universitat Autonoma de Barcelona Facultat de Ciencies, Departament de F sica

Electronic transport properties of quasicrystals: a Review
Electronic transport properties of quasicrystals: a Review

... low, of the order of 100 − 300(Ωcm) at zero temperature. Moreover, we illustrate on figure figicopar, one of the most unexpected transport properties of quasicrystals. Indeed, after annealing samples, with a consequent improvement of structural quality, the conductivity decreases19,20 . This tendenc ...
ABSTRACT RANDOM ROUTING AND CONCENTRATION IN QUANTUM SWITCHING NETWORKS
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... and classical switch designs. While on the one hand classical structures can reduce the wire count for quantum systems, on the other hand, quantum properties like superposition or quantum parallelism can be harnessed to address classical problems like blocking when switching is done in the quantum ...
Contributions to the Quantum Optics of Multi
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... On the other hand, if I have been any productive at all during my visits to foreign research centres, it is because I’ve been lucky enough to collaborate with some of the nicest people that I have ever met, and who of course I consider now my friends. I owe so much to Inés de Vega and Diego Porras, ...
The many facets of entropy - Physik Uni
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Wavefunctions and carrier-carrier interactions in InAs quantum dots
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Improve The Convergence of Jarzynski Equality through Fast
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Creation, detection, and decoherence of macroscopic quantum superposition states
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Numerical simulation of information recovery in quantum computers.
Numerical simulation of information recovery in quantum computers.

Full-Text PDF
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... the harmonic states and the oscillator strength λ through a generalized hypergeometric function evaluated at unity 3 F2 (1), which cannot be easily calculated unless the hyperquantum numbers and/or the dimension D are sufficiently small; nevertheless, the position and momentum expectation values of ...
Quantum fluctuations in modulated nonlinear oscillators Vittorio Peano and M I Dykman
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Programmable architecture for quantum computing Jialin Chen, Lingli Wang, Edoardo Charbon,
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... m1 of the first qubit, that is, (−1)m1 β. In other words, two time steps are needed to accomplish this operator. By the way, Rx (α) is realized when β = 0 and it also needs three-qubit cluster states. In principle we can correct by-product operators of each gate step by step, but it is more convenie ...
Comprehensive analysis of electron correlations in
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Superconducting qubits coupled to nanoelectromechanical resonators: An architecture
Superconducting qubits coupled to nanoelectromechanical resonators: An architecture

... where ⌬sc is the superconducting energy gap 共⌬sc ⬇ 180 ␮eV for Al junctions兲. The supercurrent component then oscillates with angular frequency 2eV / ប—the ac Josephson effect. The thermal activation regime has been explored in detail, for various limits of dissipation 关63–65兴. For fixed current bia ...
Computational Methods for Simulating Quantum Computers
Computational Methods for Simulating Quantum Computers

... Computer simulation has since long been accepted as the third methodology in many branches of science and engineering [34]. Conventional computers can be used to simulate quantum computers that are relative small (e.g. 24 qubits) but are significantly larger than the experimental machines that have b ...
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Exciton Fine-Structure Splitting in Self- Assembled Lateral InAs/GaAs Quantum-Dot Molecular Structures
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... two effects compensate each other, and the resulting FSS thus depends on the degree of the compensation. In the case of the DQDs, the effect of the piezoelectric field substantially overcompensates the effect of the shape anisotropy such that the effective confinement potential is elongated along th ...
chapter 01
chapter 01

... Maxwell based these equations on previously known results, both experimental and theoretical. A quick look at these equations shows that we shall be dealing with vector quantities. It is consequently logical that we spend some time in Part I examining the mathematical tools required for this course. ...
VECTOR ANALYSIS
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... Maxwell based these equations on previously known results, both experimental and theoretical. A quick look at these equations shows that we shall be dealing with vector quantities. It is consequently logical that we spend some time in Part I examining the mathematical tools required for this course. ...
Quantum Scattering Theory and Applications
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... apart and moving towards each other. After some time they collide and then travel away from each other and, eventually, are far apart again. We don't necessarily care about the details of the collision except insofar as we can predict from it where and how the objects will end up. This picture of sc ...
hybrid quantum computation - Centre for Quantum Technologies
hybrid quantum computation - Centre for Quantum Technologies

... to study the dynamics of material bodies, while Maxwell’s electromagnetism provided the proper framework to investigate radiation. Matter and radiation were described in terms of particles and waves, respectively. The interaction between matter and radiation were given by the Lorentz force or explai ...
Electron transport, interaction and spin in graphene and graphene nanoribbons Artsem Shylau
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... is then used to compute the conductance according to the Landauer approach. We find that the conductance quantization is suppressed in the magnetic field. This unexpected behavior results from the interactioninduced modification of the band structure which leads to formation of the compressible strips ...
Studies in Quantum Information Theory
Studies in Quantum Information Theory

... financial freedom necessary to achieve my goals. Those are the big ones. Without them, I simply would not be where I am today. It took a concerted effort of all of these people and organizations to encourage this work and allow it to come to fruition. There are many others who played a more hands-on ...
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Probability amplitude



In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.
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