[quantum-info] PIQuDos seminar on Wed May 14: Thomas Vidick

Gus Gutoski ggutoski at perimeterinstitute.ca
Tue May 13 21:24:12 EDT 2014


Reminder: PIQuDos seminar by Thomas Vidick Wednesday at 16:00 in the Time
room.  -Gus


On Wed, May 7, 2014 at 6:45 PM, Gus Gutoski
<ggutoski at perimeterinstitute.ca>wrote:

> Please join us on Wednesday, May 14 at 4pm in the Time room for a quantum
> information seminar by Thomas Vidick.
>
> Title:  *A polynomial-time algorithm for the ground state of 1D gapped
> local Hamiltonians*
> Speaker: *Thomas Vidick* (Caltech)
>
> Abstract: Computing ground states of local Hamiltonians is a fundamental
> problem in condensed matter physics. We give the first randomized
> polynomial-time algorithm for finding ground states of gapped
> one-dimensional Hamiltonians: it outputs an (inverse-polynomial)
> approximation, expressed as a matrix product state (MPS) of polynomial bond
> dimension. The algorithm combines many ingredients, including recently
> discovered structural features of gapped 1D systems, convex programming,
> insights from classical algorithms for 1D satisfiability, and new
> techniques for manipulating and bounding the complexity of MPS. Our result
> provides one of the first major classes of Hamiltonians for which computing
> ground states is provably tractable despite the exponential nature of the
> objects involved.
>
> Joint work with Zeph Landau and Umesh Vazirani.
>
> Date: Wednesday, May 14, 2014.
> Time: 16:00
> Location: Time Room (294)
>
> -Gus
>
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