Dear All,
The qip seminar series will be starting agin this Friday. The first speaker of this
semester is Ramis.
Title: A counterexample to the area law for quantum matter
Abstract: Entanglement is a quantum correlation which does not appear classically, and it
serves as a resource for quantum technologies such as quantum computing. The area law says
that the amount of entanglement between a subsystem and the rest of the system is
proportional to the area of the boundary of the subsystem and not its volume. A system
that obeys an area law can be simulated more efficiently than an arbitrary quantum system,
and an area law provides useful information about the low-energy physics of the system. It
was widely believed that the area law could not be violated by more than a logarithmic
factor (e.g. based on critical systems and ideas from conformal field theory) in the
system’s size. We introduce a class of exactly solvable one-dimensional models which we
can prove have exponentially more entanglement than previously expected, and violate the
area law by a square root factor. We also prove that the gap closes as n^{-c}, where c
>= 2, which rules out conformal field theories as the continuum limit of these models.
In addition to using recent advances in quantum information theory, we have drawn upon
various branches of mathematics and computer science in our work and hope that the tools
we have developed may be useful for other problems as well. (Joint work with Peter Shor)
The talk is at 1:30pm on Friday (Feb 27) in the Cosman Seminar Room (6C-442).
Hope to see you there,
Cyril
—
Cyril Stark
Center for Theoretical Physics
Massachusetts Institute of Technology
77 Massachusetts Ave, 6-304
Cambridge, MA 02139, USA
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