[quantum-info] ususual day and time---PIQuDos seminar Fri Sept 19 at 15:00: Markus Grassl

[Gus Gutoski]

In addition to Wednesday's seminar, please join us on Friday,
September 19 at 3pm in the Time room for a quantum information seminar
by Markus Grassl.

Title:  Algebraic characterization of entanglement classes
Speaker: Markus Grassl

Abstract: Entanglement is a key feature of composite quantum system
which is directly related to the potential power of quantum computers.

In most computational models, it is assumed that local operations are
relatively easy to implement.  Therefore, quantum states that are
related by local operations form a single entanglement class.

In the case of local unitary operations, a finite set of polynomial
invariants provides a complete characterization of the entanglement
classes.  Unfortunately, one faces the problem of combinatorial
explosion so that computing such a complete set of invariants becomes
difficult already for quite small system.

The two main problems in this context are to compute invariants and to
decide completeness, i.e., whether a given set of invariants generates
the full invariant ring.  Important tools are both univariate and
multivariate Hilbert series which are already difficult to compute.
We will also address computational aspects of these problems and
techniques for showing completeness of a set of invariants.

Date: Friday, September 19, 2014.
Time: 15:00
Location: Time Room

-Gus