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Updated: Sep 10, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Optimal Bound on Long-Range Distillable Entanglement
Jonah Kudler-Flam1,2, Vladimir Narovlansky1, Nikita Sopenko1
1Institute for Advanced Study, School of Natural Sciences, Princeton, New Jersey 08540, USA.
Abstract:
We prove an upper bound on long-range distillable entanglement in D spatial dimensions. Namely, it must decay faster than 1/r, where r is the distance between entangled regions. For states that are asymptotically rotationally invariant, the bound is strengthened to 1/r^{D}. We then find explicit examples of quantum states with decay arbitrarily close to the bound. In one dimension, we construct free fermion Hamiltonians with nearest neighbor couplings that have these states as ground states. Curiously, states in conformal field theory are far from saturation, with distillable entanglement decaying faster than any polynomial.
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