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Entanglement characterization of a two-level system
... are denoted by {∣0⟩, ∣1⟩} . The most general (pure) state is represented by α ∣0⟩ + β ∣1⟩ , the ... and the most general (pure) state is of the form: $$\left| \rm{General} \right\rangle ... \left| 11 \right\rangle$$ (most general two-qubit pure state), where ∣ α ∣ 2 + ∣ β ∣ 2 + ∣ ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Squashed entanglement
... by an ``inf" (infimum). When $\varrho_{A, B}$ is a pure state, $E_{CMI}(\varrho_{A, B})=S(\varrho_{A})=S(\varrho_{B})$ , in ... with the definition of Entanglement of Formation for pure states. Motivation for definition of CMI Entanglement CMI ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Basic concepts in quantum computation
... . The two states form a `computational basis' and any other (pure) state of the qubit can be written as a superposition α ... network (of size four), which generates the most general pure state of a single qubit (up to a global phase), ...
Wiki article - Anonymous (not verified) - 04/01/2016 - 11:49 - 0 comments
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Entanglement of formation
... ⟩) where the minimization is over all ensemble s of pure states E = {( p i , ∣ ψ i ⟩)} that ... is the entropy of entanglement which is defined for pure states. This kind of extension of a quantity defined on pure states to ...
Wiki article - Anonymous (not verified) - 01/03/2017 - 07:35 - 0 comments
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Entanglement of assistance
... of assistance was initially defined for tripartite pure states as the maximal entropy of entanglement that can be created ... own subsystem and telling them the outcomes. For tripartite pure states entanglement of assistance is simply a function of Alice and ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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LOCC operations
... lower rank asymptotically. Three qubits Each pure state of three entangled qubits can be converted into either the ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Enhancement of channel capacities with entanglement
... from the channel by acting on the A ʹ half of any pure state ∣ φ ⟩ A A ʹ . \end{theorem} The theorem ... from the quantum channel acting on half of an entangled pure state. Another point worth stressing is that, unlike the known ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Observables and measurements
... and $\lang O\rang = \lang\psi |O|\psi\rang$ for a pure state $\lang O\rang = \mbox{Tr}(\rho O)$ for a mixed state ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Separability criteria
... U [ ⋅ ] T U † maps any pure state to some state that is orthogonal to it. Therefore we can define the ...
Wiki article - Anonymous (not verified) - 04/05/2016 - 17:37 - 0 comments
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Coherent information
... ) of the input state. One may think of inputting part of a pure state through the channel. The part which remains at the input is ρ ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments