455 research outputs found
Delocalized Entanglement of Atoms in optical Lattices
We show how to detect and quantify entanglement of atoms in optical lattices
in terms of correlations functions of the momentum distribution. These
distributions can be measured directly in the experiments. We introduce two
kinds of entanglement measures related to the position and the spin of the
atoms
Quantum simulators, continuous-time automata, and translationally invariant systems
The general problem of finding the ground state energy of lattice
Hamiltonians is known to be very hard, even for a quantum computer. We show
here that this is the case even for translationally invariant systems. We also
show that a quantum computer can be built in a 1D chain with a fixed,
translationally invariant Hamitonian consisting of nearest--neighbor
interactions only. The result of the computation is obtained after a prescribed
time with high probability.Comment: partily rewritten and important references include
Entanglement distillation by dissipation and continuous quantum repeaters
Even though entanglement is very vulnerable to interactions with the
environment, it can be created by purely dissipative processes. Yet, the
attainable degree of entanglement is profoundly limited in the presence of
noise sources. We show that distillation can also be realized dissipatively,
such that a highly entanglement steady state is obtained. The schemes put
forward here display counterintuitive phenomena, such as improved performance
if noise is added to the system. We also show how dissipative distillation can
be employed in a continuous quantum repeater architecture, in which the
resources scale polynomially with the distance
Quantum Metropolis Sampling
The original motivation to build a quantum computer came from Feynman who
envisaged a machine capable of simulating generic quantum mechanical systems, a
task that is believed to be intractable for classical computers. Such a machine
would have a wide range of applications in the simulation of many-body quantum
physics, including condensed matter physics, chemistry, and high energy
physics. Part of Feynman's challenge was met by Lloyd who showed how to
approximately decompose the time-evolution operator of interacting quantum
particles into a short sequence of elementary gates, suitable for operation on
a quantum computer. However, this left open the problem of how to simulate the
equilibrium and static properties of quantum systems. This requires the
preparation of ground and Gibbs states on a quantum computer. For classical
systems, this problem is solved by the ubiquitous Metropolis algorithm, a
method that basically acquired a monopoly for the simulation of interacting
particles. Here, we demonstrate how to implement a quantum version of the
Metropolis algorithm on a quantum computer. This algorithm permits to sample
directly from the eigenstates of the Hamiltonian and thus evades the sign
problem present in classical simulations. A small scale implementation of this
algorithm can already be achieved with today's technologyComment: revised versio
Ensemble Quantum Computation with atoms in periodic potentials
We show how to perform universal quantum computation with atoms confined in
optical lattices which works both in the presence of defects and without
individual addressing. The method is based on using the defects in the lattice,
wherever they are, both to ``mark'' different copies on which ensemble quantum
computation is carried out and to define pointer atoms which perform the
quantum gates. We also show how to overcome the problem of scalability on this
system
Ground state cooling of atoms in optical lattices
We propose two schemes for cooling bosonic and fermionic atoms that are
trapped in a deep optical lattice. The first scheme is a quantum algorithm
based on particle number filtering and state dependent lattice shifts. The
second protocol alternates filtering with a redistribution of particles by
means of quantum tunnelling. We provide a complete theoretical analysis of both
schemes and characterize the cooling efficiency in terms of the entropy. Our
schemes do not require addressing of single lattice sites and use a novel
method, which is based on coherent laser control, to perform very fast
filtering.Comment: 12 pages, 7 figure
An Effective Model for Engaging Faculty and Undergraduate Students in Neuroscience Outreach with Middle Schoolers
Engaging undergraduate students in science outreach events is critical for improving future communication between scientists and community members. Outreach events are opportunities for faculty and undergraduates to utilize active learning strategies to engage non-scientists in scientific questions and principles. Through careful design of outreach events, undergraduate students can practice science communication skills while reaching populations of the public that remain underserved and underrepresented in scientific fields. Here we describe a classroom outreach event designed to give a broad overview of the field of neuroscience to middle school students of all backgrounds by delivering the content in school, during school hours. Through a variety of active learning strategies, middle school students learned about basic structures of the brain and their corresponding functions. Additionally, these students participated in demonstrations during which they generated and tested their own hypotheses and learned about sensory transmission and responses. We designed the lesson to meet the educational goals for middle school students, fulfilling the criteria for the Next Generation Science Standard MS-LS1-8 (NGSS Lead States, 2013). We evaluated the impact of the event on both undergraduate student instructors and middle school participants. Our results demonstrate that these outreach events effectively deliver new content to middle school students while also reinforcing the importance and value of outreach to undergraduate instructors
Activating NPPT distillation with an infinitesimal amount of bound entanglement
We show that bipartite quantum states of any dimension, which do not have a
positive partial transpose, become 1-distillable when one adds an infinitesimal
amount of bound entanglement. To this end we investigate the activation
properties of a new class of symmetric bound entangled states of full rank. It
is shown that in this set there exist universal activator states capable of
activating the distillation of any NPPT state.Comment: 4 pages, revtex4, 1 figure, references correcte
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