Entanglement cost

Does the semidefinite hierarchy for exact PPT entanglement cost collapse at its second level for every finite-dimensional bipartite density operator \(\rho_{AB}\)?

• Quantum Resource Theory
• Entanglement cost
• PPT-preserving operations
• Entanglement measures

What is the entanglement cost of a qubit Bell-diagonal state for an arbitrary probability vector \(\mathbf p=(p_I,p_X,p_Y,p_Z)\)?

• Quantum Resource Theory
• Entanglement cost
• Bell-diagonal states
• Local operations and classical communication

What is the entanglement cost of the Werner state \(\rho_{d,p}\) for every integer \(d\geq2\) and every antisymmetric weight \(1/2<p\leq1\), and in particular, does it equal the entanglement of formation?

• Quantum Resource Theory
• Entanglement cost
• Local operations and classical communication

What is the entanglement cost of the isotropic state \(\sigma_{d,F}\) for every integer \(d\geq2\) and every fidelity \(1/d<F<1\)?

• Quantum Resource Theory
• Entanglement cost
• Local operations and classical communication

What is the exact LOCC entanglement cost of a finite-energy PPT-entangled Gaussian state?

• Quantum Resource Theory
• Gaussian quantum information
• Bound entanglement
• Entanglement cost

Is unrestricted entanglement of formation additive on tensor powers of every finite-energy two-mode Gaussian state?

• Quantum Resource Theory
• Gaussian quantum information
• Entanglement cost
• Additivity and regularization

Is the exact deterministic LOCC entanglement cost of the two-qubit elegant joint measurement \(\mathcal M_{\mathrm{EJM}}\) equal to one ebit when arbitrary finite-dimensional pure entangled resources are allowed?

• Quantum Resource Theory
• Entanglement cost
• Local operations and classical communication

Does there exist a family of bipartite unitaries requiring exponentially many shared Bell pairs for fixed-error implementation when classical communication is limited to one simultaneous exchange?

• Quantum Communication
• Quantum Resource Theory
• Entanglement cost
• Quantum communication complexity
• Local operations and classical communication