8,757 research outputs found
Commitment as investment under uncertainty
An explanation of how irreversible investment and the techniques associated with pricing real options can apply to a broad range of problems in finance, macroeconomics, and trade policy.Economic policy ; Macroeconomics
Dynamic commitment and imperfect policy rules
An examination of the dynamics of commitment, showing that because the decision regarding rules versus discretion occurs in real time, opting for discretion is often the better choice, since it leaves open the possibility of adopting rules later on.Monetary policy
Dynamic commitment and imperfect policy rules
Considering the dynamics of commitment highlights, some neglected features of time inconsistency problems. We modify the standard rules-versus-discretion question in three ways: (1) A government that does not commit today retains the option to do so tomorrow, (2) the government's commitment capability is restricted to a class of simple rules, and (3) the government's ability to make irrevocable commitments is restricted. Three results stand out. First, the option to wait makes the incumbent regime (rules or discretion) relatively more attractive. Second, the option to wait means that increased uncertainly makes the incumbent regime more attractive. Third, because the commitment decision takes place in 'real time,' policy choice displays hysteresis.Monetary policy
Quantum Channels and Representation Theory
In the study of d-dimensional quantum channels , an assumption
which is not very restrictive, and which has a natural physical interpretation,
is that the corresponding Kraus operators form a representation of a Lie
algebra. Physically, this is a symmetry algebra for the interaction
Hamiltonian. This paper begins a systematic study of channels defined by
representations; the famous Werner-Holevo channel is one element of this
infinite class. We show that the channel derived from the defining
representation of SU(n) is a depolarizing channel for all , but for most
other representations this is not the case. Since the Bloch sphere is not
appropriate here, we develop technology which is a generalization of Bloch's
technique. Our method works by representing the density matrix as a polynomial
in symmetrized products of Lie algebra generators, with coefficients that are
symmetric tensors. Using these tensor methods we prove eleven theorems, derive
many explicit formulas and show other interesting properties of quantum
channels in various dimensions, with various Lie symmetry algebras. We also
derive numerical estimates on the size of a generalized ``Bloch sphere'' for
certain channels. There remain many open questions which are indicated at
various points through the paper.Comment: 28 pages, 1 figur
Decoherence-protected memory for a single-photon qubit
The long-lived, efficient storage and retrieval of a qubit encoded on a
photon is an important ingredient for future quantum networks. Although systems
with intrinsically long coherence times have been demonstrated, the combination
with an efficient light-matter interface remains an outstanding challenge. In
fact, the coherence times of memories for photonic qubits are currently limited
to a few milliseconds. Here we report on a qubit memory based on a single atom
coupled to a high-finesse optical resonator. By mapping and remapping the qubit
between a basis used for light-matter interfacing and a basis which is less
susceptible to decoherence, a coherence time exceeding 100 ms has been measured
with a time-independant storage-and-retrieval efficiency of 22%. This
demonstrates the first photonic qubit memory with a coherence time that exceeds
the lower bound needed for teleporting qubits in a global quantum internet.Comment: 3 pages, 4 figure
Multi-Modal Human-Machine Communication for Instructing Robot Grasping Tasks
A major challenge for the realization of intelligent robots is to supply them
with cognitive abilities in order to allow ordinary users to program them
easily and intuitively. One way of such programming is teaching work tasks by
interactive demonstration. To make this effective and convenient for the user,
the machine must be capable to establish a common focus of attention and be
able to use and integrate spoken instructions, visual perceptions, and
non-verbal clues like gestural commands. We report progress in building a
hybrid architecture that combines statistical methods, neural networks, and
finite state machines into an integrated system for instructing grasping tasks
by man-machine interaction. The system combines the GRAVIS-robot for visual
attention and gestural instruction with an intelligent interface for speech
recognition and linguistic interpretation, and an modality fusion module to
allow multi-modal task-oriented man-machine communication with respect to
dextrous robot manipulation of objects.Comment: 7 pages, 8 figure
Evolution of spin correlations in SrDy2O4 in an applied magnetic field
The development of short- and long-range magnetic order induced in a
frustrated zig-zag ladder compound SrDy2O4 by an applied field is studied using
neutron diffraction techniques. In zero field, SrDy2O4 lacks long-range
magnetic order down to temperatures as low as 60 mK, and the observed powder
neutron diffraction (PND) patterns are dominated by very broad diffuse
scattering peaks. Single crystal neutron diffraction reveals that the
zero-field magnetic structure consists of a collection of antiferromagnetic
chains running along the c axis and that there is very little correlation
between the chains in the ab plane. In an applied magnetic field, the broad
diffuse scattering features in PND are gradually replaced by much sharper
peaks, however, the pattern remains rather complex, reflecting the highly
anisotropic nature of SrDy2O4. Single crystal neutron diffraction shows that a
moderate field applied along the b axis induces an up-up-down magnetic order
associated with a 1/3-magnetisation plateau, in which magnetic correlation
length in the ab plane is significantly increased, but it nevertheless remains
finite. The resolution limited k = 0 peaks associated with a ferromagnetic
arrangement appear in powder and single crystal neutron diffraction patterns in
fields of 2.5 T and above.Comment: 10 pages, 11 figure
On the number of representations providing noiseless subsystems
This paper studies the combinatoric structure of the set of all
representations, up to equivalence, of a finite-dimensional semisimple Lie
algebra. This has intrinsic interest as a previously unsolved problem in
representation theory, and also has applications to the understanding of
quantum decoherence. We prove that for Hilbert spaces of sufficiently high
dimension, decoherence-free subspaces exist for almost all representations of
the error algebra. For decoherence-free subsystems, we plot the function
which is the fraction of all -dimensional quantum systems which
preserve bits of information through DF subsystems, and note that this
function fits an inverse beta distribution. The mathematical tools which arise
include techniques from classical number theory.Comment: 17 pp, 4 figs, accepted for Physical Review
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