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Decoherence-free subspaces
Decoherence-free subspace is a special set of quantum states which is insensitive to some ... Suppose we can initiate our quantum state in the subspace {∣ ↑ ↓ ⟩, ∣ ↓ ↑ ⟩} , for ... the state at all. The structure of Decoherence-free subspace For the interest of quantum information processing, the noise ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Hilbert spaces
... ∀ s ∈ S } S perp is a closed subspace of H and so forms itself a Hilbert space. If V is a closed subspace of H , then V perp is called the orthogonal complement of ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Projector
Let H 1 be a closed subspace of the Hilbert space H and H 2 its orthogonal ... Each projector Q j belongs to a closed subspace H j of the Hilbert space H , and these subspaces ... , and therefore each component of ψ in the subspace H j is given by the projection of ψ in ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quantum error correction and fault-tolerance
... errors. In general, a quantum error-correcting code is a subspace of a Hilbert space designed so that any of a set of possible errors ... Hilbert space (n qubits), and let C be a K-dimensional subspace of H n . Then C is an ((n,K)) (binary) quantum ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Geometric (holonomic) gates
... A \,\, , \nonumber where A is projected into the subspace \cal{H}_0. Notice that we replaced the time ordering with the path ... of our approach to QC. From now on we shall consider a given subspace \cal{H}_l (accordingly the label l will be dropped). Such a subspace, ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Bra-ket notation
... term is the vectorial component of ψ in the subspace of H in the direction of ∣ ϕ ⟩ . As any ... be generalized to any closed finite or infinite-dimensional subspace H 0 of H . Let {∣ n ⟩, n ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Basic concepts in quantum computation
... project the state of the combined system into the symmetric subspace i.e. the subspace containing all states which are invariant under any permutation of the ...
Wiki article - Anonymous (not verified) - 04/01/2016 - 11:49 - 0 comments
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Separability criteria
... directly follows that any vector belonging to the orthogonal subspace H U P B ⊥ is entangled and, by the range ...
Wiki article - Anonymous (not verified) - 04/05/2016 - 17:37 - 0 comments
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Enhancement of channel capacities with entanglement
... dimension 2 n Q . The procedure is said to have subspace fidelity 1 − ε if \label{eqn:fidelity} ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments