3 problems

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The no-PPT-entanglement conjecture for mixtures of Dicke states in dimensions three and four
No-PPT-entanglement conjecture. For local dimensions $d=3,4$ , there is no PPT entanglement in the class of mixtures of Dicke states for any number of systems.
Conjectureopendicke-states ppt-states quantum-entanglementarXiv posted 2 days ago
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Conjecture on independent type II Hamiltonians for $W^p$ scars
For integers $p\geq1$ , define … These operators are type II Hamiltonians when the relevant $\ket{W^{p'}}$ states are exact scars for $p\leq p'$ . Independent-Hamiltonians conjecture…
Conjectureopendicke-states hamiltonians quantum-many-body-scarsarXiv posted 2 days ago
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Entanglement-entropy count conjecture for Dicke-state orbits
Let $\ket{D^N_1}$ denote the $N$ -qubit Dicke state with one excitation, and let $(HC)_{1,2}$ denote circuits generated by Hadamard and controlled-not gates acting on qubits $1$ and…
Conjectureopendicke-states entanglement-entropy quantum-informationarXiv posted 2 days ago

The no-PPT-entanglement conjecture for mixtures of Dicke states in dimensions three and four