Qutrit Entanglement ∗

We consider the separability of various joint states for N qutrits. We derive two results: (i) the separability condition for a two-qutrit state that is a mixture of the maximally mixed state and a maximally entangled state (such a state is a generalization of the Werner state for two qubits); (ii) upper and lower bounds on the size of the neighborhood of separable states surrounding the maximally mixed state for N qutrits. Typeset using REVTEX We dedicate this article to Marlan Scully and his lifelong interest in the weird and wonderful world of quantum mechanics. We understand that the article will appear in the Festschrift celebrating Marlan’s 60th birthday, but surely that 60 is a mistake. Perhaps Marlan’s passport says he’s 60, but that’s because his passport doesn’t know him. He approaches physics with the same curiosity and zest he displayed when we met him nearly twenty years ago. Happy 60th, Marlan! We draw inspiration from your dedication to and enthusiasm for physics.