Questions tagged [werner-states]

For questions regarding well-known Werner States, which are states that are entangled but are still incapable of violating any Bell nonlocality inequality. This means that those states have an explicit local hidden variable model construction.

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Are there separable states $\rho$ with separable pure decompositions requiring $\operatorname{rank}(\rho)^2$ components?

In What separable $\rho$ only admit separable pure decompositions with more than $\mathrm{rank}(\rho)$ terms?, examples were given of separable states $\rho$ with separable decompositions requiring ...
glS's user avatar
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Is there a way to compute how many hidden variables are needed to describe a given local state?

Consider a bipartite state $\rho$ that is local. By local I mean here that there is a local hidden variable model explaining the correlations resulting from measuring $\rho$. In other words, $\rho$ ...
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How to show that Werner states produce correlations explainable via local hidden variable models?

Werner states can be written as $$\rho_W= p\frac{\Pi_+}{\binom{n+1}{2}} +(1-p)\frac{\Pi_-}{\binom{n}{2}}, $$ with $\Pi_\pm\equiv\frac12(I\pm\mathrm{SWAP})$ projectors onto the $\pm1$ eigenspaces of ...
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How do I represent a Werner state in ket notation?

I want to represent Werner state in the form of ket vector notation. Is there a way in which I can represent it in vector form?
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What is a separable decomposition for the Werner state?

Consider the two-qubit Werner state, defined as $$\rho_z = z |\Psi_-\rangle\!\langle \Psi_-| + \frac{1-z}{4}I, \quad |\Psi_-\rangle\equiv\frac{1}{\sqrt2}(|00\rangle-|11\rangle),$$ for $z\ge0$. Using ...
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