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Bloch sphere
... values of the σ x , y , z operators respectively. This is conveniently expressed by, ... register is 2 m +1 − 2. The geometry of density operators Formulations of quantum mechanics in terms of pure states are ... systems need to be described in terms of density operators . The topological description is complicated by the fact that the ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Operators
... following, though, we will consider the use that is made of operators in Quantum Mechanics and therefore focus upon particular classes of operators or operators with certain properties. In the absence of ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quadrature operators and Hermite polynomials
... If I change the variables for the following ones (quadrature operators) s=cos(y) x + sin(y) p t=sin(y) x + cos(y) p the new ... in p,q, because then the time evolution of the quadrature operators is linear with scalar coefficients. (If you want some fancy ...
Forum topic - Hellmann - 26/10/2015 - 17:08 - 2 comments
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Hilbert spaces
... John von Neumann in his famous work on unbounded Hermitian operators published in 1929. Von Neumann was perhaps the mathematician who most ... in physics but frowned upon by mathematicians. Bounded operators For a Hilbert space H , the continuous linear operators A ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Tensor product
... . Tensor products of operators If we assume operators A I and A I I acting on the Hilbert ... I I ∣ ψ I I ⟩) . For linear operators A I and A I I , A is a linear ...
Wiki article - Anonymous (not verified) - 03/11/2015 - 20:24 - 0 comments
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Projector
... the latter is a projector on H 2 . The operators Q 1 and Q 2 have the following ... Definition: The linear, bounded, self-adjoint, idempotent operators Q 1 and Q 2 on H are projectors on ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Symmetric operator
... in D( A ) . 'Definition: Hermitian operators whose domain is dense in H are called symmetric . ' ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Separable operations
... quantum state is an operations with product Kraus operators . Abstract mathematical definition for the case of $K$-partite ... A_k\rho A_k^{\dagger},$$ with operators $A_k$ satisfying following conditions: $$\sum_{k=1}^N ...
Wiki article - Anonymous (not verified) - 07/07/2017 - 21:09 - 0 comments
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Observables and measurements
... Mathematically observables are postulated to be Hermitian operators mapping Hilbert space H onto itself and have following ... x}$ and coordinate x̂ = x operators. Observables with descrete spectrum ( d i m ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Multipartite
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Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments