A geometric construction via shortest-distance projection to the convex set of useless states yields optimal teleportation witnesses and a necessary-and-sufficient usefulness criterion for arbitrary two-qudit states.
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A support-kernel criterion shows that rank-deficient conditional states with first-order coupling at the boundary turn entanglement into two-way projective steering, including mixed cases.
Decoherence of the color code produces a mixed state with topological entanglement negativity ln 2 that corresponds to an emergent single toric code.
Entanglement certification with randomized measurements is the most resource-intensive task among all two-qubit invariants because it requires the maximum number of measurement settings.
For two-qubit entangled states, existence of one pure steered state implies two-way EPR steering via symmetry of tangent points on steering ellipsoids.
Local NOT operations convert entanglement sudden death to asymptotic decay for genuine multipartite concurrence in small multipartite systems under amplitude damping, while teleportation fidelity preservation requires flipping all qubits in some cases and allows use of biseparable states in GHZ CQT.
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Decoherence Mitigation with Local NOT Gates in Multipartite Systems
Local NOT operations convert entanglement sudden death to asymptotic decay for genuine multipartite concurrence in small multipartite systems under amplitude damping, while teleportation fidelity preservation requires flipping all qubits in some cases and allows use of biseparable states in GHZ CQT.