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Introduction To Quantum Computing
Introduction To Quantum Computing

... Our entire discussion so far has been on “perfect” quantum gates, but of course they are not perfect. Various “threshold theorems” have suggested that we need 10^4 to 10^6 gates in less than the decoherence time in order to apply quantum error correction (QEC). QEC is a big enough topic to warrant s ...
PDF
PDF

... The state space of an isolated physical system evolves under the action of a unitary operator. In other words, if |ψi is the state at time t1 and |ψ 0 i is the state at time t2 , then there exists a unitary operator Ut1 ,t2 that maps |ψi to |ψ 0 i. The unitary operator can thus be viewed as acting i ...
Dissipative decoherence in the Grover algorithm
Dissipative decoherence in the Grover algorithm

... static energy shifts of individual qubits which may generate many-body quantum chaos in a quantum computer hardware [11]. This second type of errors, e.g. static imperfections, gives a more rapid decay of fidelity as it has been shown in [12,10]. In the case of quantum algorithms for a complex dynam ...
Another version - Scott Aaronson
Another version - Scott Aaronson

Executive Summary Last modified October 13
Executive Summary Last modified October 13

... evolves according to the application of stochastic matrices, which preserve that the probabilities add up to one (i.e., preserve the L1 norm). In quantum computation, on the other hand, allowed operations are unitary matrices, which are effectively rotations (they preserve that the sum of the square ...
III. Quantum Model of the Atom
III. Quantum Model of the Atom

... defines probability of finding an eTake it easy, do not get shocked, we will cover this in Chemy 333, if you are a chemistry major student ...
slides
slides

... …I would like to say a few words about the soundness of our Modellvorstellungen. The difficulties that obtrude ever more clearly into atomic physics appear to me to lie less in an immoderate application of the quantum theory and much more in a perhaps ...
ppt - MIT
ppt - MIT

... =H(pi) and the standard deviation is O(pn). ...
“Measuring” the Density Matrix
“Measuring” the Density Matrix

quantum mechanics departs from classical mechanics primarily at
quantum mechanics departs from classical mechanics primarily at

Decoherence - Center for Ultracold Atoms
Decoherence - Center for Ultracold Atoms

Diagonalization vs. Decoherence
Diagonalization vs. Decoherence

... appears to have “classical” (non-quantum) properties and behaves like an ensemble of states (does not appear to exhibit superposition). * •Decoherence occurs through the irreversible interaction of the quantum state with the environment, “leaking” information about the state into the environment, so ...
Illustration of the quantum central limit theorem by
Illustration of the quantum central limit theorem by

PH5015 - Applications of Quantum Physics
PH5015 - Applications of Quantum Physics

Quantum Computing
Quantum Computing

... atom. An excited state representing |1> and a ground state representing |0>. Light pulse of ...
Spin polarized transport in semiconductors – Challenges for
Spin polarized transport in semiconductors – Challenges for

Why the brain is probably not a quantum computer Max Tegmark
Why the brain is probably not a quantum computer Max Tegmark

... the entropy of the total system, and the logarithms are base 2. If this mutual information is zero, then the states of the two systems are uncorrelated and independent, with the density matrix of the separable form q ˆ q1 q2 . If the subsystems start out independent, any interaction will at least ...
qm2 - Michael Nielsen
qm2 - Michael Nielsen

... is that it provides a convenient tool with which to describe projectors, and thus quantum measurements. Recall: The projector P onto sp  e1 , e2  acts as P  e1   e2   e3    e1   e2 This gives us a simple explicit formula for P , since  e1 e1  e2 e2   e1   e2   e3    e1   e ...
qm1 - Michael Nielsen
qm1 - Michael Nielsen

A tutorial on non-Markovian quantum processes
A tutorial on non-Markovian quantum processes

Quantum Mechanics
Quantum Mechanics

Ontology in Quantum Darwinism
Ontology in Quantum Darwinism

Chapter 1 Statistical Mechanics of Quantum Dots Chapter 2 Artificial
Chapter 1 Statistical Mechanics of Quantum Dots Chapter 2 Artificial

Quantum Computing
Quantum Computing

... instead of the laws of classical physics.  1985 - David Deutsch developed the quantum turing machine, showing that quantum circuits are universal.  1994 - Peter Shor came up with a quantum algorithm to factor very large numbers in polynomial time.  1997 - Lov Grover develops a quantum search algo ...
“Quantum Computing: Dream or Nightmare”, Physics Today, 49, 51
“Quantum Computing: Dream or Nightmare”, Physics Today, 49, 51

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Quantum decoherence

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