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Bipartite states and Schmidt decomposition
... The state ∣ ψ ⟩ A B is separable if and only if there is only one non-zero Schmidt coefficient $\; ... if, tracing out any subsystem, the rest is in a fully separable state. Category:Handbook of Quantum Information ...
Wiki article - Anonymous (not verified) - 04/03/2019 - 00:51 - 0 comments
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Squashed entanglement
... \varrho_B^\lambda w_\lambda \,$ , which is a separable state . Therefore, $E_{CMI}(\varrho_{A, B})$ given by Eq.(1) vanishes for all separable states. When $\varrho_{A, B}$ is a pure state, one gets ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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GHZ
... state and one ends up in a fully mixed state, which is fully separable: T r k (∣ G H Z ⟩ n ⟨ G ... if, tracing out any subsystem, the rest is in a fully separable state. Indeed this is true for the GHZ states, while it does not ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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PPT separability criterion
... criterion]: If a state $\varrho \in S_A \otimes S_B$ is separable, then $\varrho^{T_B} := (id_A \otimes T_B)[\varrho] \geq 0 ,$ ... \in S_A \otimes S_B$ with $d_A d_B \leq 6$ is separable if and only if $\varrho_{AB}^{T_B} := (id_A \otimes ...
Wiki article - Anonymous (not verified) - 07/07/2017 - 21:06 - 0 comments
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Axiomatic approach
... A } an orthonormal basis. Van Sep: vanishing on separable states For all separable states ρ , E ( ρ ) = 0 . PPT Mon: PPT ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quantum discord
... entanglement have been proposed and successfully tested. Separable (i.e. not entangled) states were considered insufficient to implement ... pure states, but unlike entanglement it can be nonzero for separable mixed states. Theory Conditional Entropy In classical ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quantum mutual information
... of the state ρ R Q is taken over all separable states, then the maximized quantum mutual information is equivalent ... n} Q)$$ for D the set of all separable states between systems R and Q . Whether or not the ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Reduction criterion
... a separability criterion , that is a condition that all separable states have to satisfy and a violation of it is therefore a proof of ... B ) . Then the reduction criterion states that for any separable ρ A B , two derived operators must be positive ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Bell-diagonal state
... axes are sufficient for this. A Bell-diagonal state is separable if all the probabilities are less or equal to 1/2. Many ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Q+ Hangout: Miguel Navascues
... the set of all quantum states (distributions) which admit a separable (classical) Translation-Invariant (TI) extension to infinitely many ... reduced density matrix. Along the way, we identify a set of separable two-qubit states which only admit entangled TI extensions. For ...
Conference - Ravi - 25/10/2016 - 08:05 - 0 comments