1,721,119 research outputs found
Fine Structure of Transient Features in GW Data Using Compressed Sensing Estimated TF Skeletons. LIGO Document G1201025-v1. LIGO-Virgo Collaboration (LVC) Meeting, Rome, Italy, September 10-14, 2012.
Sparse Representations for Detecting Unmodeled Transients and Representing Unmodeled Glitches. LIGO Document G1200986-v1. LIGO-Virgo Collaboration (LVC) Meeting, Rome, Italy, September 10-14, 2012.
Enhancing and Denoising TF Representations for Coincidence-Based GW Detection of Unmodeled Signals in Unmodeled Glitchy Noise Using Compressed Sensing Estimated TF Skeletons. LIGO Document G1201010-v1. LIGO-Virgo Collaboration (LVC) Meeting, Rome, Italy, September 10-14, 2012.
Sequential nonideal measurements of quantum oscillators: Statistical characterization with and without environmental coupling
A one-dimensional quantum oscillator is monitored by taking repeated position measurements. As a first contribution, it is shown that, under a quantum nondemolition measurement scheme applied to a system initially at the ground state, (i) the observed sequence of measurements (quantum tracks) corresponding to a single experiment converges to a limit point, and that (ii) the limit point is random over the ensemble of the experiments, being distributed as a zero-mean Gaussian random variable with a variance at most equal to the ground-state variance. As a second contribution, the richer scenario where the oscillator is coupled with a frozen (i.e., at the ground state) ensemble of independent quantum oscillators is considered. A sharply different behavior emerges: under the same measurement scheme, here we observe that the measurement sequences are essentially divergent. Such a rigorous statistical analysis of the sequential measurement process might be useful for characterizing the main quantities that are currently used for inference, manipulation, and monitoring of many quantum systems. Several interesting properties of the quantum tracks evolution, as well as of the associated (quantum) threshold crossing times, are discussed and the dependence upon the main system parameters (e.g., the choice of the measurement sampling time, the degree of interaction with the environment, the measurement device accuracy) is elucidated. At a more fundamental level, it is seen that, as an application of basic quantum mechanics principles, a sharp difference exists between the intrinsic randomness unavoidably present in any quantum system, and the extrinsic randomness arising from the environmental coupling, i.e., the randomness induced by an external source of disturbance
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