Seminars and Colloquia
Physics
Holographic Entanglement Negativity in AdS_3/CFT_2
Fri, Oct 12, 2018,
11:00 AM
at Physics Seminar Room 31, 2nd floor, A Wing, Main Buidling
Vinay M
Post-Doc, IISER Pune
Abstract:
Characterization of mixed state entanglement is a subtle and complex issue
in quantum information theory as the usual measure of entanglement entropyceases to be valid for these states. In this context, entanglement
negativity is one of the significant computable measures introduced in
quantum information theory that characterizes the upper bound on the
distillable entanglement for bipartite pure and mixed states. We propose a
holographic entanglement negativity conjecture for bipartite pure and
mixed states of a (1+1)-dimensional conformal field theories (CFT)
through the AdS_3/CFT_2 correspondence. Application of our conjecture to
specific examples of pure vacuum state and finite temperature mixed states
exactly reproduces the corresponding CFT replica technique results, in the
large central charge limit. Subsequently, we establish the consistency of
our holographic conjecture through the large central charge analysis of
the entanglement negativity for a mixed state configuration relevant to
our conjecture.
