Maximally-Disordered Distillable Quantum States

Abstract

We explore classical to quantum transition of correlations by studying the quantum states located just outside of the classically-correlated-states-only neighborhood of the maximally mixed state (the largest separable ball (LSB)). We show that a natural candidate for such states raises the possibility of a layered transition, i.e., an annular region comprising only classical and the classical-like bound entangled states, followed by free or distillable entanglement. Surprisingly, we find the transition to be abrupt for bipartite systems: distillable states emerge arbitrarily close to the LSB. For multipartite systems, while the radius of the LSB remains unknown, we determine the radius of the largest undistillable ball. Our results also provide an upper bound on how noisy shared entangled states can be for executing quantum information processing protocols.

Published Version, 7 pages, Latex

References in corpus (3)

• Largest separable balls around the maximally mixed bipartite quantum state
• Introduction to NMR Quantum Information Processing
• New classes of n-copy undistillable quantum states with negative partial transposition

Cited by in corpus (4)

• Class of PPT bound entangled states associated to almost any set of pure entangled states
• Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
• A resource theory of asynchronous quantum information processing
• On the temperature dependence of the interaction-induced entanglement