Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTM-UCP
Subjects math-ph
Date Thursday 25 October 2018
Time 14:00
Institute LPTM
Seminar Room 4.13 St Martin II
Speaker's Last Name Lancien
Speaker's First Name Cécilia
Speaker's Email Address
Speaker's Institution Institut de Mathématiques de Toulouse
Title High-dimensional entanglement in quantum states with positive partial transpose
Abstract Genuine high-dimensional entanglement, i.e. the property of having a high Schmidt number, constitutes a resource in quantum processing protocols. On the contrary, states with a positive partial transpose (PPT) are generally considered weakly entangled, as they cannot be distilled into pure entangled states. This naturally raises the question whether high Schmidt numbers are possible for PPT states. This will be the main topic of the talk. I will begin with exhibiting an explicit construction of PPT state that achieves optimal Schmidt number scaling (in the dimension of the subsystems). I will then explain that, in fact, random PPT states typically share this feature. Finally I will study the somewhat opposite problem and show that the PPT property also imposes limitations on the Schmidt number. The talk will be based on arXiv:1802.04975.
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