Speaker
Vern Paulsen
(Institute for Quantum Computing and Department of Pure Mathematics, University of Waterloo, Waterloo, Waterloo, ON, Canada N2L 3G1)
Description
Partially motivated by recent research in quantum physics, we take a closer look
at the similarities and differences between the study of positive maps, separability,
and entanglement in the real and complex case. It is possible for real matrices to
be entangled as operators on a real Hilbert space and yet separable when regarded
as acting on a complex space. These two distinct theories of entanglement in the
real case correspond to two different theories of entanglement breaking maps in the
real case. Finally, we see what these differences have to say about real versions
of the PPT-squared conjecture. Based on joint research with G. Chiribella, K.R.
Davidson, and M. Rahaman.
Primary author
Vern Paulsen
(Institute for Quantum Computing and Department of Pure Mathematics, University of Waterloo, Waterloo, Waterloo, ON, Canada N2L 3G1)
