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Super-dense coding
... of information into the shared state by using one of four unitary operations corresponding to the different two bit strings. The ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Unitarity and time evolution
In functional analysis, a unitary operator is a bounded linear operator U on a Hilbert space ... x , U y ⟩ = ⟨ x , y ⟩. Unitary matrices are precisely the unitary operators on finite-dimensional Hilbert spaces, so the notion of a ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Grover's search algorithm
... λ N − 1 } We are provided with a unitary operator , Uω , which acts as a subroutine that compares ...
Wiki article - Anonymous (not verified) - 03/11/2015 - 06:20 - 0 comments
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Hilbert spaces
... These applications include: The theory of unitary group representations The theory of square integrable stochastic ... of them. An element U of L( H ) is called unitary if U is invertible and its inverse is given by U *. This can ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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The Church of the larger Hilbert space
... (1) tensoring with a second system in a specified state, (2) unitary transformation, and (3) reduction to a subsystem. Thus, any quantum operation can be thought of as arising from a unitary evolution on a larger ( dilated ) system. The auxiliary system to ...
Wiki article - Anonymous (not verified) - 05/04/2023 - 22:02 - 0 comments
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Bloch sphere
... Hn . Theorem . Let U( n ) be the (Lie) group of unitary matrices of size n . Then the pure state space of Hn can be ... groups. The important fact to note above is that the unitary group acts transitively on pure states. Now the (real) dimension ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Geometric (holonomic) gates
... of γ in the control manifold. In other words the unitary transformation (\ref{evolution}) contains a dynamical as well as a ... i = 1 g of paths which generate the basic unitary transformations U γ i 's, i.e. the gates. By ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Werner state
... bipartite quantum state that is invariant under the unitary U ⊗ U for any unitary U . That is, a state ρ that satisfies ρ ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quantun Arithmetic and Logic
... computer the operations you can performed are called ''unitary operations''. If you start with a string of quantum bits in some state |00101> (corresponding to the classical bit string 00101), a unitary operation can do everything to the string that a classical computer ...
Forum topic - Djcn - 26/10/2015 - 17:08 - 1 comment
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Distance measures between states
... the distance between two states should not change when a unitary operation is applied to both of them. (unitary invariance): d ( ρ , σ ) = d ( U ρ U ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments