Topic
Quantum separability
9 records: 6 unsolved, 3 solved. Filter the catalog by this topic →
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The PPT-squared conjecture
Must the composition of any two compatible PPT completely positive maps be entanglement breaking?
Solved -
Many-copy Bell nonlocality of every entangled state
Does every entangled bipartite state become Bell nonlocal under collective local measurements on some finite number of copies?
Unsolved -
QMA(2) versus QMA
Is every promise problem verifiable by a quantum Merlin-Arthur protocol with two unentangled witnesses also verifiable by a protocol with a single arbitrary witness, that is, is \(\mathsf{QMA}(2) = \mathsf{QMA}\) in the standard, unrelativized setting?
Unsolved -
Relative entropy of entanglement for two qubits
Find a closed formula for the relative entropy of entanglement of every two-qubit density operator \(\rho\), including an explicit closest separable state.
Unsolved -
Bounded witnesses for every continuous-variable entangled state
Does every entangled bosonic state admit a bounded entanglement witness?
Solved -
Exact covariance criterion for bipartite Gaussian separability
What necessary and sufficient condition on a covariance matrix characterizes bipartite Gaussian separability?
Solved -
Chernoff exponents under separable and LOCC tests across copies
Determine the optimal symmetric discrimination exponents for two faithful noncommuting states when measurements must be separable across copies or implemented by local operations and classical communication (LOCC) among the copies.
Unsolved -
Absolute separability from spectra
Characterize the spectra of bipartite states that remain separable under every global unitary, and decide whether absolute separability equals absolute positivity under partial transpose in higher local dimensions.
Unsolved -
Constant trace-distance separability testing
What is the computational complexity of testing bipartite separability with a constant trace-distance promise gap?
Unsolved