18,813 research outputs found
Entanglement in the Dicke model
We show how an ion trap, configured for the coherent manipulation of external
and internal quantum states, can be used to simulate the irreversible dynamics
of a collective angular momentum model known as the Dicke model. In the special
case of two ions, we show that entanglement is created in the coherently driven
steady state with linear driving. For the case of more than two ions we
calculate the entanglement between two ions in the steady state of the Dicke
model by tracing over all the other ions. The entanglement in the steady state
is a maximum for the parameter values corresponding roughly to a bifurcation of
a fixed point in the corresponding semiclassical dynamics. We conjecture that
this is a general mechanism for entanglement creation in driven dissipative
quantum systems.Comment: Minor changes: Reference added and references correcte
On Communication Complexity in Evolution-Communication P Systems
Looking for a theory of communication complexity for P systems, we consider
here so-called evolution-communication (EC for short) P systems, where objects
evolve by multiset rewriting rules without target commands and pass through membranes
by means of symport/antiport rules. (Actually, in most cases below we use only
symport rules.) We first propose a way to measure the communication costs by means
of “quanta of energy” (produced by evolution rules and) consumed by communication
rules. EC P systems with such costs are proved to be Turing complete in all three cases
with respect to the relation between evolution and communication operations: priority
of communication, mixing the rules without priority for any type, priority of evolution
(with the cost of communication increasing in this ordering in the universality proofs).
More appropriate measures of communication complexity are then defined, as dynamical
parameters, counting the communication steps or the number (and the weight)
of communication rules used during a computation. Such parameters can be used in
three ways: as properties of P systems (considering the families of sets of numbers generated
by systems with a given communication complexity), as conditions to be imposed
on computations (accepting only those computations with a communication complexity
bounded by a given threshold), and as standard complexity measures (defining the class
of problems which can be solved by P systems with a bounded complexity). Because
we ignore the evolution steps, in all three cases it makes sense to consider hierarchies
starting with finite complexity thresholds. We only give some preliminary results about
these hierarchies (for instance, proving that already their lower levels contain complex –
e.g., non-semilinear – sets), and we leave open many problems and research issues.Junta de AndalucĂa P08 – TIC 0420
Symmetry-enhanced supertransfer of delocalized quantum states
Coherent hopping of excitation rely on quantum coherence over physically
extended states. In this work, we consider simple models to examine the effect
of symmetries of delocalized multi-excitation states on the dynamical
timescales, including hopping rates, radiative decay, and environmental
interactions. While the decoherence (pure dephasing) rate of an extended state
over N sites is comparable to that of a non-extended state, superradiance leads
to a factor of N enhancement in decay and absorption rates. In addition to
superradiance, we illustrate how the multi-excitonic states exhibit
`supertransfer' in the far-field regime: hopping from a symmetrized state over
N sites to a symmetrized state over M sites at a rate proportional to MN. We
argue that such symmetries could play an operational role in physical systems
based on the competition between symmetry-enhanced interactions and localized
inhomogeneities and environmental interactions that destroy symmetry. As an
example, we propose that supertransfer and coherent hopping play a role in
recent observations of anomolously long diffusion lengths in nano-engineered
assembly of light-harvesting complexes.Comment: 6 page
-Learning: A Collaborative Distributed Strategy for Multi-Agent Reinforcement Learning Through Consensus + Innovations
The paper considers a class of multi-agent Markov decision processes (MDPs),
in which the network agents respond differently (as manifested by the
instantaneous one-stage random costs) to a global controlled state and the
control actions of a remote controller. The paper investigates a distributed
reinforcement learning setup with no prior information on the global state
transition and local agent cost statistics. Specifically, with the agents'
objective consisting of minimizing a network-averaged infinite horizon
discounted cost, the paper proposes a distributed version of -learning,
-learning, in which the network agents collaborate by means of
local processing and mutual information exchange over a sparse (possibly
stochastic) communication network to achieve the network goal. Under the
assumption that each agent is only aware of its local online cost data and the
inter-agent communication network is \emph{weakly} connected, the proposed
distributed scheme is almost surely (a.s.) shown to yield asymptotically the
desired value function and the optimal stationary control policy at each
network agent. The analytical techniques developed in the paper to address the
mixed time-scale stochastic dynamics of the \emph{consensus + innovations}
form, which arise as a result of the proposed interactive distributed scheme,
are of independent interest.Comment: Submitted to the IEEE Transactions on Signal Processing, 33 page
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