Hi all,
This week the research day will be on Wednesday with a talk by David
Gross at 3pm, title to be decided.
There will be an additional talk by Barbara Kraus at 3pm on Thursday:
Quantum State Preparation using dissipation
We investigate the possibility of using a dissipative process to prepare
a quantum system in a desired state. We derive for any multipartite pure
state a dissipative process for which this state is the unique
stationary state and solve the corresponding master equation
analytically. For certain states, like the Cluster states, we use this
process to show that the jump operators can be chosen quasi--locally,
i.e. they act non--trivially only on a few, neighboring qubits. We
demonstrate the general formalism by considering MPS--PEPS states. In
particular, we show that the ground state of the AKLT-model can be
prepared employing a quasi-local dissipative process. Furthermore, we
discuss a dissipatively driven Bose-Einstein Condensate, where for
non-interacting atoms a pure state exhibiting long range order is
generated as the steady state by quasi-local coupling to an environment
with finite correlation length. Applying standard linearization schemes
in the weakly interacting situations, allows us to determine the
solution of the master equation, revealing a steady state with
properties similar to bosons in thermal contact to a heat bath.
Furthermore, we consider a special class of states, called locally
maximally entangleable states and discuss their applications for quantum
information tasks. The generation of those states using either
dissipative processes, or unitary evolutions is presented.
Cheers,
Roger