113 research outputs found
Analysis of New Hampshire Pregnancy Risk Assessment Monitoring System (PRAMS) to Better Understand Breastfeeding Initiation and Duration by Industry Category
This supplemental report provides additional information on breastfeeding initiation and duration, and a woman’s job category (industry) as reported to the NH Division of Vital Records Administration via the NH birth certificate. De-identified responses in the NH birth certificate data linked to the responses in the Pregnancy Risk Assessment Monitoring System (PRAMS) survey data provided the opportunity to better understand duration of breastfeeding by a woman’s industry. The findings may be useful to policymakers and employers when framed in terms of the health and economic benefits of breastfeeding to inform workplace policy formation
Exponential speed-up with a single bit of quantum information: Testing the quantum butterfly effect
We present an efficient quantum algorithm to measure the average fidelity
decay of a quantum map under perturbation using a single bit of quantum
information. Our algorithm scales only as the complexity of the map under
investigation, so for those maps admitting an efficient gate decomposition, it
provides an exponential speed up over known classical procedures. Fidelity
decay is important in the study of complex dynamical systems, where it is
conjectured to be a signature of quantum chaos. Our result also illustrates the
role of chaos in the process of decoherence.Comment: 4 pages, 2 eps figure
Statistical comparison of ensemble implementations of Grover's search algorithm to classical sequential searches
We compare pseudopure state ensemble implementations, quantified by their
initial polarization and ensemble size, of Grover's search algorithm to
probabilistic classical sequential search algorithms in terms of their success
and failure probabilities. We propose a criterion for quantifying the resources
used by the ensemble implementation via the aggregate number of oracle
invocations across the entire ensemble and use this as a basis for comparison
with classical search algorithms. We determine bounds for a critical
polarization such that the ensemble algorithm succeeds with a greater
probability than the probabilistic classical sequential search. Our results
indicate that the critical polarization scales as N^(-1/4) where N is the
database size and that for typical room temperature solution state NMR, the
polarization is such that the ensemble implementation of Grover's algorithm
would be advantageous for N > 10^2
Fidelity enhancement by logical qubit encoding
We demonstrate coherent control of two logical qubits encoded in a
decoherence free subspace (DFS) of four dipolar-coupled protons in an NMR
quantum information processor. A pseudo-pure fiducial state is created in the
DFS, and a unitary logical qubit entangling operator evolves the system to a
logical Bell state. The four-spin molecule is partially aligned by a liquid
crystal solvent, which introduces strong dipolar couplings among the spins.
Although the system Hamiltonian is never fully specified, we demonstrate high
fidelity control over the logical degrees of freedom. In fact, the DFS encoding
leads to higher fidelity control than is available in the full four-spin
Hilbert space.Comment: 10 pages, 2 figure
Polarization Requirements for Ensemble Implementations of Quantum Algorithms with a Single Bit Output
We compare the failure probabilities of ensemble implementations of quantum
algorithms which use pseudo-pure initial states, quantified by their
polarization, to those of competing classical probabilistic algorithms.
Specifically we consider a class algorithms which require only one bit to
output the solution to problems. For large ensemble sizes, we present a general
scheme to determine a critical polarization beneath which the quantum algorithm
fails with greater probability than its classical competitor. We apply this to
the Deutsch-Jozsa algorithm and show that the critical polarization is 86.6%.Comment: 11 pages, 3 figure
Studies based on the Earley and Wolffer social studies vocabulary tests for grades IV, V, and VI.
Thesis (Ed.M.)--Boston Universit
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