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Fault-Tolerant Quantum Computation and the Threshold Theorem
Fault-Tolerant Quantum Computation and the Threshold Theorem

The 1925 Born and Jordan paper “On quantum mechanics”
The 1925 Born and Jordan paper “On quantum mechanics”

Slides
Slides

Quantum Mechanics II SS 2014
Quantum Mechanics II SS 2014

... where θ and φ is the angular dependence in spherical coordinates. Fi : flux of incident particles; it is the number of particles which traverse per unit time a unit surface ⊥ to Oz in the region where z takes on very large negative values; V (~r): potential localized around the origin O; D: detector ...
Quantum Correlations in Optical Angle–Orbital Angular Momentum
Quantum Correlations in Optical Angle–Orbital Angular Momentum

1 Detailing Coherent , Minimum Uncertainty States of Gravitons, as
1 Detailing Coherent , Minimum Uncertainty States of Gravitons, as

Arbitrarily Small Amount of Measurement Independence Is Sufficient
Arbitrarily Small Amount of Measurement Independence Is Sufficient

Analysis of a Quantum Error Correcting Code using Quantum
Analysis of a Quantum Error Correcting Code using Quantum

... The complete definition of the semantics takes the form of a collection of labelled transition rules. Transition (1) becomes a general rule for output if the value 2 is replaced by a general value v. Transition (2) is a general rule for input. The interaction between input and output is defined by t ...
NP-complete Problems and Physical Reality
NP-complete Problems and Physical Reality

... Nature to try out all 2n possible solutions to an NP-complete problem in parallel? Indeed, many popular articles on quantum computing have given precisely that impression. The trouble is that if we measure the computer’s state, we see only one candidate solution x, with probability depending on its ...
Copyright cG 2017 by Robert G. Littlejohn Physics 221B Spring
Copyright cG 2017 by Robert G. Littlejohn Physics 221B Spring

M.Sc. CCSS 2010
M.Sc. CCSS 2010

... M.Sc. CCSS 2010 University Physics Department Council (DC) recommended to impliment the same modality to CCSS as that of CSS of affiliated colleges. However, as a first step the PG board recommends to impliment only ...
Lectures on Quantum Chromodynamics
Lectures on Quantum Chromodynamics

QUANTUM ERROR CORRECTING CODES FROM THE
QUANTUM ERROR CORRECTING CODES FROM THE

... landscape of general strategies to find codes for other classes of channels is fairly sparse. In particular, the theory lacks a systematic method that applies to arbitrary quantum channels. Indeed, after spending any time at all on this problem, it becomes clear that this is an extremely daunting ch ...
Representations for understanding the Stern-Gerlach
Representations for understanding the Stern-Gerlach

Quantum Entanglement and Information Quantifier for Correlated
Quantum Entanglement and Information Quantifier for Correlated

Analysis of Strained Al0.15In0.22Ga0.63As/GaAs Graded Index
Analysis of Strained Al0.15In0.22Ga0.63As/GaAs Graded Index

... always try to optimize this factor for a better lasing structure in order to calculate the mode gain. Researchers have already proposed two methods to increase this quantity. The first is by finely increasing the well width below its critical value. This preserves the advantages of a quasi-2D system ...
Extraction of thermal and electromagnetic properties in 45Ti
Extraction of thermal and electromagnetic properties in 45Ti

Ph. D. thesis Quantum Phase Transitions in Correlated Systems
Ph. D. thesis Quantum Phase Transitions in Correlated Systems

Lattice waves - Binghamton University
Lattice waves - Binghamton University

... A lecture note on the lattice waves in the solid is presented. In a crystal each atom are coupled with the neighboring atoms by spring constants. The collective motion of atoms leads to a well-defined traveling wave over the whole system, leading to the collective motion, so called phonon. Here the ...
Quantum Phenomena in Condensed Phase
Quantum Phenomena in Condensed Phase

... described by the Bose-Einstein theory of non-interacting bosons, but this is not the case in 2-d. While the pairwise interactions between bosons are weak, we find that the collective properties pose a strong coupling problem, which can be described by an effective classical model. This can be applie ...
The Coulomb-interaction-induced breaking of the Aufbau principle
The Coulomb-interaction-induced breaking of the Aufbau principle

Switching via quantum activation: A parametrically modulated oscillator 兲
Switching via quantum activation: A parametrically modulated oscillator 兲

... oscillator was studied experimentally for electrons in Penning traps 关35,36兴. The measured switching rate 关36兴 agreed quantitatively with the theory 关37兴. A quantum parametric oscillator also does not have detailed balance in the general case. The results presented below show that breaking the speci ...
Quantum Computation by Adiabatic Evolution Edward Farhi, Jeffrey Goldstone Sam Gutmann
Quantum Computation by Adiabatic Evolution Edward Farhi, Jeffrey Goldstone Sam Gutmann

schrodinger`s cat paradox resolution using grw collapse model
schrodinger`s cat paradox resolution using grw collapse model

Quantum Mechanical Addition of Angular Momenta and Spin
Quantum Mechanical Addition of Angular Momenta and Spin

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Particle in a box



In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.
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