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quantum scale
quantum scale

... instrumentation, we can never pin down both the particle-like and the wave-like properties of a quantum entity, whether it be a photon or an electron, a quark or a neutrino(that’s everything). The uncertainty principle is a statement that is fundamental to nature, to the universe, whether we are the ...
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Document

preskill_grad_students13
preskill_grad_students13

Quantum Physics Part II Quantum Physics in three units Bright Line
Quantum Physics Part II Quantum Physics in three units Bright Line

Lecture 4
Lecture 4

... crystal lattice. In these collisions energy between the particles and the lattice is exchanged. This is modeled by the creation and destruction of pseudo particles (phonons). In crystals this is by far the most important collision mechanism (more frequent than particle - particle collisions). The en ...
Quantum Computing Devices Quantum Bits
Quantum Computing Devices Quantum Bits

... If M1 and M2 are 2 x 2 matrices that describe unitary quantum gates, then it is easy to verify that the joint actions of M1 of the first qubis and M2 on the second are described by M1 ⊗ M2 This generalize to quantum systems of any size If matrices M1 and M2 define unitary mappings on Hilbert soace ...
PPT
PPT

... The compression procedure is to leave ( j1,…, jn) intact if it is -typical and otherwise change it to some fixed -typical sequence, say, ( j ,…, j) (which will result in an error) Since there are at most 2n(H(p) + ) -typical sequences, the data can then be converted into n(H(p) + ) bits The err ...
Entropic Dynamics: A hybrid-contextual theory of Quantum Mechanics
Entropic Dynamics: A hybrid-contextual theory of Quantum Mechanics

Quantum measurements and chiral magnetic effect
Quantum measurements and chiral magnetic effect

... To consider less trivial example, lets us take for but not invariant under reflections of only one coordinate. If one is monitoring P-odd observable, e.g. ...
Why the Difference Between Quantum and Classical
Why the Difference Between Quantum and Classical

... particularly our causal relations, to things in our environments). However, quantum mechanics offers no advantage over classical mechanics here, since the terms required for defining the relevant functional organizations and relations are no more than those required to describe, e.g., the functional ...
Lecture 3
Lecture 3

Bose-Einstein spin condensates: revisiting the Einstein
Bose-Einstein spin condensates: revisiting the Einstein

The Computer Science Picture of Reality
The Computer Science Picture of Reality

Josephson Effect - Quantum Device Lab
Josephson Effect - Quantum Device Lab

... DiVincenzo Criteria for Implementations of a Quantum Computer: #1. A scalable physical system with well-characterized qubits. #2. The ability to initialize the state of the qubits to a simple fiducial state. #3. Long (relative) decoherence times, much longer than the gate-operation time. #4. A unive ...
The Rydberg series for the doubly excited states of the helium atom
The Rydberg series for the doubly excited states of the helium atom

Document
Document

FRACTIONAL STATISTICS IN LOW
FRACTIONAL STATISTICS IN LOW

... is exactly the Boltzmann distribution (with β = 1/p) for 2D plasma and via direct interpretation ([12]) of equilibrium properties of plasma one can find that pth Laughlin function describes the fractionally occupied lowest Landau level with the filling factor 1/p. The existence of the hierarchy of f ...
Lecture 6 Quantum query complexity: Upper bound.
Lecture 6 Quantum query complexity: Upper bound.

Chapter 5. The Schrödinger Wave Equation Formulation of Quantum
Chapter 5. The Schrödinger Wave Equation Formulation of Quantum

Lecture 14: Computing Discrete Logarithms 1 Period finding
Lecture 14: Computing Discrete Logarithms 1 Period finding

MATH10232: EXAMPLE SHEET X
MATH10232: EXAMPLE SHEET X

... where i and j are the base vectors of a global Cartesian coordinate system in an inertial frame of reference. The particle is influenced by a uniform gravitational field −gj. At time t = 0, the particle is at the origin of the coordinate system and is projected with speed U at an angle 0 ≤ θ ≤ π to ...
2 Quantum dynamics of simple systems
2 Quantum dynamics of simple systems

... The interaction picture, described in the previous section, is formally exact. In this section we introduce time-depent perturbation theory. We assume that the Hamiltonian can be written as Ĥ(t) = Ĥ0 + Ĥ1 (t). It is used to develop a series of sucessive approximations to the evolving wavefunction ...
Course Template
Course Template

... 2. Identify the kinds of experimental results which are incompatible with classical physics and which required the development of a quantum theory of matter and light 3. Interpret the wave function and apply operators to it to obtain information about a particle's physical properties such as positio ...
Quantum fluctuations can promote or inhibit glass formation
Quantum fluctuations can promote or inhibit glass formation

... of glassy behaviour that are exhibited by more complex fluids. It is well known from experiment and simulation that classical hard spheres enter a glassy regime for volume fractions in the range φ = 50–60% independent of temperature18,19 . Figure 1 shows the full structure of the dynamical phase dia ...
Chapter 2 Statistical Thermodynamics 1
Chapter 2 Statistical Thermodynamics 1

... a particle of the system. But quantum particles may have spin as well. Thus we must multiply the above equation by a spin factor γs: g ( )d   s ...
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Path integral formulation

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