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Orthogonal polynomials, special functions and mathematical physics
Orthogonal polynomials, special functions and mathematical physics

Landahl.quantum.errorcor
Landahl.quantum.errorcor

Classical and Quantum Error Correction
Classical and Quantum Error Correction

... improved procedure using 9 qubits to encode a single qubit of information • His algorithm was a majority vote type of system that allowed all single qubit errors to be detected and corrected This was a starting point to great research area, although his paper had many bugs ...
Simple examples of second quantization 4
Simple examples of second quantization 4

... Excitation spectrum of the one-dimensional x-y ferromagnet, showing how the negative energy states are filled. The negative-energy dispersion curve is “folded over” to describe the positive hole excitation energy. so that, remarkably, there is no ground-state magnetization. We may interpret this loss ...
Lecture XVII
Lecture XVII

... maximum in probability at x = 0. Contrast bahaviour with the classic harmonic oscillator, which has a minimum in the probability at x = 0 and maxima at turning points. ...
Perspective Using classical mechanics in a quantum framework
Perspective Using classical mechanics in a quantum framework

The CNOT Quantum Gate
The CNOT Quantum Gate

... A final remark on NMR qubits: We are interested in operating on individual qubits separately. However our liquid contains many molecules with spin systems. Rather than try to separate these systems we use their statistical properties and create what is called a ”thermal state”. This state can be des ...
A quantum central limit theorem for sums of IID
A quantum central limit theorem for sums of IID

Extension of the Homogeneous Electron Gas Theory to First
Extension of the Homogeneous Electron Gas Theory to First

... a phenomenon called the Field-Induced Band Gap Narrowing (FIBGN) in this work. To study the validity of the FOHEG and the HEG theory, both approximations are used to calculate the carrier density of an ideal spherical quantum dot. The spherical quantum dot is so idealized that it is essentially a th ...
Quantum Mechanics: Schrödinger vs Heisenberg
Quantum Mechanics: Schrödinger vs Heisenberg

Lecture 13 - UD Physics
Lecture 13 - UD Physics

... Spontaneous emission: transition probability (i.e. Einstein coefficients Aik). During the absorption or emission of a photon the atom undergoes a transition between two levels |i> and |k>, i.e it changes its eigenstate in time. Therefore it cannot be described by the stationary Schrödinger equation, ...
Representation Theory, Symmetry, and Quantum
Representation Theory, Symmetry, and Quantum

... In the early 20th century, it had become apparent to physicists that many phenomena, from the orbiting of electrons in atoms to the emission and absorption of light waves, did not occur on a continuous spectrum, as classical theories would predict. Einstein’s 1905 discovery of the photoelectic effec ...
Entropy of gravitons produced in the early Universe
Entropy of gravitons produced in the early Universe

Noisy Storage talk
Noisy Storage talk

Essay Review of Quantum State Diffusion by Ian Percival
Essay Review of Quantum State Diffusion by Ian Percival

( ) = e−ax - Illinois State Chemistry
( ) = e−ax - Illinois State Chemistry

Attractive photons in a quantum nonlinear medium
Attractive photons in a quantum nonlinear medium

... We measure the dynamical evolution of the two-photon wavefunction using time-resolved quantum state tomography, and demonstrate a conditional phase shift8 exceeding one radian, resulting in polarization-entangled photon pairs. Particular applications of this technique include all-optical switching, ...
Relative Absolute What does relative vs. absolute size mean? Why
Relative Absolute What does relative vs. absolute size mean? Why

odinger Equations for Identical Particles and the Separation Property
odinger Equations for Identical Particles and the Separation Property

... where C is a combinatorial factor, I = (i1 , . . . , iN ) are N numbers from {1, . . . , 2N }, in ascending order, (j1 , . . . , jN ) the complementary numbers, also in ascending order, and p(I) is the parity (0 or 1) of the permutation (1, . . . , 2N ) → (i1 , . . . , iN , j1 , . . . , jN ). For ( ...
Quantum information for semiclassical optics
Quantum information for semiclassical optics

AtomsFirst2e_day6_sec3.7
AtomsFirst2e_day6_sec3.7

ppt
ppt

... S. L. Braunstein, C. M. Caves, and G. J. Milburn, Ann. Phys. 247, 135 (1996). V. Giovannetti, S. Lloyd, and L. Maccone, PRL 96, 041401 (2006). ...
The Power of Quantum Advice
The Power of Quantum Advice

... Formally: a language L is in BQP/qpoly if there exists a polynomial time quantum algorithm A, as well as quantum advice states {|n}n on poly(n) qubits, such that for every input x of size n, A(x,|n) decides whether or not xL with error probability at most 1/3 ...
Document
Document

... 2. A applies I , X , Z , Y gates for 00,01,10,11 respectively 3. A sends her qubit to B 4. B applies CNOT followed by H gate to the 1st qubit - two-qubit state 00 , 01 , 10 , 11 5. B makes measurement to retrieve 00,01,10,11 Transfer of one qubit = transferring two bits ...
Diapositive 1
Diapositive 1

... Weak coupling approx. ...
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Density matrix

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