Feynman lectures on computation
... Shor’s algorithm • The unitary transformation U consists of a series of elementary quantum gates, single-, two-qubit... • The sequence of these quantum gates that are applied to the quantum input depends on the classical variables x and N complicatedly. • We need a classical computer processes the ...
... Shor’s algorithm • The unitary transformation U consists of a series of elementary quantum gates, single-, two-qubit... • The sequence of these quantum gates that are applied to the quantum input depends on the classical variables x and N complicatedly. • We need a classical computer processes the ...
Representations of Lorentz and Poincaré groups
... 4 · (4 − 1)/2 = 6 independent3 generators (corresponding to the 3 rotations and 3 boosts) so that the adjoint representation of the Lorentz group is six-dimensional. In other words, we could write the Lie algebra as [J˜a , J˜b ] = if ab c J˜c where a, b, c = 1, . . . , 6, by defining (J˜1 , J˜2 , J˜ ...
... 4 · (4 − 1)/2 = 6 independent3 generators (corresponding to the 3 rotations and 3 boosts) so that the adjoint representation of the Lorentz group is six-dimensional. In other words, we could write the Lie algebra as [J˜a , J˜b ] = if ab c J˜c where a, b, c = 1, . . . , 6, by defining (J˜1 , J˜2 , J˜ ...
The Spin-Statistics Relation and Noncommutative Quantum
... regime must be something completely different than its classical analogue. In the quantum mechanical case the term “intrinsic angular momentum” is often used instead of spin to avoid confusion with classical examples such as the earth. In the Stern-Gerlach experiment a beam of silver atoms is direct ...
... regime must be something completely different than its classical analogue. In the quantum mechanical case the term “intrinsic angular momentum” is often used instead of spin to avoid confusion with classical examples such as the earth. In the Stern-Gerlach experiment a beam of silver atoms is direct ...
- New England Complex Systems Institute
... centered around corrections and perturbations applied to traditional, linear quantum mechanics — and in such weakly nonlinear systems chaotic behavior cannot develop! From a different perspective, viz., a consideration of the possibility that nonlinearities can arise at the Planck length (10–33 m), ...
... centered around corrections and perturbations applied to traditional, linear quantum mechanics — and in such weakly nonlinear systems chaotic behavior cannot develop! From a different perspective, viz., a consideration of the possibility that nonlinearities can arise at the Planck length (10–33 m), ...
DYNAMICS AND INFORMATION (Published by Uspekhi
... understanding of quantum mechanics. This discomfort stemmed probably from the fact that `understanding' for me was something more than is commonly expected. It was not enough for me to have a well-developed mathematical apparatus and to be able to use it for calculating any particular physical proce ...
... understanding of quantum mechanics. This discomfort stemmed probably from the fact that `understanding' for me was something more than is commonly expected. It was not enough for me to have a well-developed mathematical apparatus and to be able to use it for calculating any particular physical proce ...
Revisiting a Limit on Efficient Quantum Computation Tarsem S. Purewal Jr. ABSTRACT
... configuration be 1, we force our machine to be well-formed, meaning that the sum of the configuration probabilities at time t is always 1. In other words, at all times of the computation the machine is in a valid probability distribution of configurations. The quantum model is also a probabilistic m ...
... configuration be 1, we force our machine to be well-formed, meaning that the sum of the configuration probabilities at time t is always 1. In other words, at all times of the computation the machine is in a valid probability distribution of configurations. The quantum model is also a probabilistic m ...
How Consciousness Becomes the Physical Universe
... The quantum formalism eloquently formalized by von Neumann requires first the acquisition of knowledge about a quantum system (or probing action) as well as a mathematical formalism to describe the evolution of the system to a later time (usually the Schrödinger equation). There are two more process ...
... The quantum formalism eloquently formalized by von Neumann requires first the acquisition of knowledge about a quantum system (or probing action) as well as a mathematical formalism to describe the evolution of the system to a later time (usually the Schrödinger equation). There are two more process ...
