The quantum color conjecture proposes that planar graphs have quantum chromatic number at most 3, extending the Four Color Theorem to the quantum setting where strategies use entangled states and projective measurements rather than classical colorings. The conjecture remains unproven with limited evidence, as the author knows of no mechanism producing such an obstruction and has found no proof or counterexample in the literature.
Physicists led by Jietai Jing achieved quantum teleportation across 100 simultaneous channels by teleporting quantum information encoded in a 100-pixel image, representing a major advance in scaling quantum communication networks. Unlike traditional single-channel experiments, the team arranged light modes in a 10-by-10 grid with matched entangled resources and developed an all-optical system to process all channels in parallel, overcoming key technical obstacles for large-scale quantum networks.