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The projection measurements are chosen to preserve the distances among the manifolds.
In particular, we exploit the distance preservation property of the sensing matrix A to detect anomalous targets from projection measurements.
Then, with a relatively small number of appropriately designed projection measurements, the underlying signal may be recovered exactly.
Then with a relatively small number of appropriately designed projection measurements, the underlying signal may be recovered exactly [1, 2].
This article describes computationally efficient approaches and associated theoretical performance guarantees for the detection of known targets and anomalies from few projection measurements of the underlying signals.
A computationally efficient anomaly detection method that detects anomalies of different strengths from projection measurements and also controls the FDR at a desired level.
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After the support of the sparse signal is recovered, the projection measurement is designed to reduce the mean squared error of the estimated sparse signal.
We also design three general quantum circuits to generate NASS, NASSRP, and NASSTC states, where we retrieve an image from a quantum system using different projection measurement operators.
The advantage that the CS theory has is that the data obtained via the projection measurement is much smaller than the conventional sampling methods, breaking the bottleneck of the Shannon sampling theorem, so that the high-resolution signal acquisition becomes possible.
Quantum state tomography of the single-photon path qubit is implemented by introducing path-projection measurements based on the first-order single-photon quantum interference.
Using the state preparation and path-projection measurements methods for the single-photon path qubit, we demonstrate preparation and complete tomographic reconstruction of the single-photon path qubit with arbitrary purity.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com