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Hilbert spaces
... In a sense made more precise below, every Hilbert space is isomorphic to one the form l 2( B ) for a suitable set B . If B = ... Since all infinite-dimensional separable Hilbert spaces are isomorphic, and since almost all Hilbert spaces used in physics are ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Bell's theorem
... . The operators giving this maximal value are always isomorphic to the Pauli matrices. The next sections consider experimental ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:37 - 0 comments
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Bloch sphere
... of elements g of U( n ) such that g ψ = ψ) is isomorphic to the product group U( n − 1) × U(1). ... of unitary operators V such that V A V * = A is isomorphic (as a Lie group) to U( n 1 ) × ⋯ × U( n ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Bra-ket notation
... H and its dual space are isometrically conjugate isomorphic. Thus we can associate to any vector ψ ∈ H the ... dual of H can be identified with H as it is isomorphic to H . Thus we can associate to any vector ϕ ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quantum error correction and fault-tolerance
... n into an unencoded Hilbert space H log K isomorphic to C. Thus should be distinguished from the encoding operation which ... of H n , and we want those subspaces to be isomorphic to C , and to be distinguishable from each other by an ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Enhancement of channel capacities with entanglement
... B̃ . Â and B̂ are assumed to be isomorphic quantum systems of some fixed dimension 2 n Q . The ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Basic concepts in quantum computation
... in their generic features simply because they are all ``isomorphic'' and once you know and understand one of them you, at least for our ...
Wiki article - Anonymous (not verified) - 04/01/2016 - 11:49 - 0 comments