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Supercritical entanglement in local systems: Counterexample to the area law for quantum matter.


ABSTRACT: Quantum entanglement is the most surprising feature of quantum mechanics. Entanglement is simultaneously responsible for the difficulty of simulating quantum matter on a classical computer and the exponential speedups afforded by quantum computers. Ground states of quantum many-body systems typically satisfy an "area law": The amount of entanglement between a subsystem and the rest of the system is proportional to the area of the boundary. A system that obeys an area law has less entanglement and can be simulated more efficiently than a generic quantum state whose entanglement could be proportional to the total system's size. Moreover, an area law provides useful information about the low-energy physics of the system. It is widely believed that for physically reasonable quantum systems, th

SUBMITTER: Movassagh R 

PROVIDER: S-EPMC5127297 | biostudies-literature | 2016 Nov

REPOSITORIES: biostudies-literature