5,791 research outputs found
Optimal and Myopic Information Acquisition
We consider the problem of optimal dynamic information acquisition from many
correlated information sources. Each period, the decision-maker jointly takes
an action and allocates a fixed number of observations across the available
sources. His payoff depends on the actions taken and on an unknown state. In
the canonical setting of jointly normal information sources, we show that the
optimal dynamic information acquisition rule proceeds myopically after finitely
many periods. If signals are acquired in large blocks each period, then the
optimal rule turns out to be myopic from period 1. These results demonstrate
the possibility of robust and "simple" optimal information acquisition, and
simplify the analysis of dynamic information acquisition in a widely used
informational environment
Criterion on remote clocks synchronization within a Heisenberg scaling accuracy
We propose a quantum method to judge whether two spatially separated clocks
have been synchronized within a specific accuracy . If the measurement
result of the experiment is obviously a nonzero value, the time difference
between two clocks is smaller than ; otherwise the difference is beyond
. On sharing the 2-qubit bipartite maximally entangled state in this
scheme, the accuracy of judgement can be enhanced to
. This criterion is consistent with Heisenberg
scaling that can be considered as beating standard quantum limit, moreover, the
unbiased estimation condition is not necessary.Comment: 5 pages, 1 figur
Fitting magnetic field gradient with Heisenberg-scaling accuracy
We propose a quantum fitting scheme to estimate the magnetic field gradient
with -atom spins preparing in W state, which attains the Heisenberg-scaling
accuracy. Our scheme combines the quantum multi-parameter estimation and the
least square linear fitting method to achieve the quantum Cram\'{e}r-Rao bound
(QCRB). We show that the estimated quantity achieves the Heisenberg-scaling
accuracy. In single parameter estimation with assumption that the magnetic
field is strictly linear, two optimal measurements can achieve the identical
Heisenberg-scaling accuracy. Proper interpretation of the
super-Heisenberg-scaling accuracy is presented. The scheme of quantum metrology
combined with data fitting provides a new method in fast high precision
measurements.Comment: 7 pages, 2 figure
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