Neurophysiology

Contains reports on two research projects.Bell Telephone Laboratories Incorporate

Demonstrating Continuous Variable EPR Steering in spite of Finite Experimental Capabilities using Fano Steering Bounds

We show how one can demonstrate continuous-variable Einstein-Podolsky-Rosen (EPR) steering without needing to characterize entire measurement probability distributions. To do this, we develop a modified Fano inequality useful for discrete measurements of continuous variables, and use it to bound the conditional uncertainties in continuous-variable entropic EPR-steering inequalities. With these bounds, we show how one can hedge against experimental limitations including a finite detector size, dead space between pixels, and any such factors that impose an incomplete sampling of the true measurement probability distribution. Furthermore, we use experimental data from the position and momentum statistics of entangled photon pairs in parametric downconversion to show that this method is sufficiently sensitive for practical use.Comment: 7 pages, 2 figure

Neurophysiology

Contains reports on two research projects.National Science Foundation (Grant GP-2495)Bell Telephone Laboratories, Inc.U. S. Air Force Cambridge Research Laboratories under Contract AF19(628)-4147The Teagle Foundation, Inc.National Aeronautics and Space Administration (Grant NsG-496)U. S. Air Force (Aeronautical Systems Division) under Contract AF 33(615)-1747National Institutes of Health (Grant MH-04737-04

Compressively characterizing high-dimensional entangled states with complementary, random filtering

The resources needed to conventionally characterize a quantum system are overwhelmingly large for high- dimensional systems. This obstacle may be overcome by abandoning traditional cornerstones of quantum measurement, such as general quantum states, strong projective measurement, and assumption-free characterization. Following this reasoning, we demonstrate an efficient technique for characterizing high-dimensional, spatial entanglement with one set of measurements. We recover sharp distributions with local, random filtering of the same ensemble in momentum followed by position---something the uncertainty principle forbids for projective measurements. Exploiting the expectation that entangled signals are highly correlated, we use fewer than 5,000 measurements to characterize a 65, 536-dimensional state. Finally, we use entropic inequalities to witness entanglement without a density matrix. Our method represents the sea change unfolding in quantum measurement where methods influenced by the information theory and signal-processing communities replace unscalable, brute-force techniques---a progression previously followed by classical sensing.Comment: 13 pages, 7 figure

Neurophysiology

Contains reports on one research project.National Institutes of Health (Grant 5 P01 GM14940-04)Bell Telephone Laboratories Incorporate

Neurophysiology

Contains reports on four research projects.National Institutes of Health (Grant B-1865-(C3), Grant MH-04737-02)United States Air Force, Aeronautical Systems Division (Contract AF33(616)-7783)Teagle Foundation, IncorporatedBell Telephone Laboratories, Incorporate

Laser Radar Point-Target Localization at High Photon Efficiency

Minimum error-probability laser radar point-target localization is analyzed, including the effects of dark counts, background counts, and target speckle. Results from preliminary table-top experiments are reported

Feasibility of a Relaxation Guided Imagery Intervention to Reduce Maternal Stress in the NICU

Objective: To test the feasibility of a relaxation guided imagery (RGI) intervention for mothers of hospitalized preterm infants and to explore the biobehavioral effects of RGI on their distress, responsiveness, and physiological stress. Design: Single sample, pretest-posttest design. Setting: A large Level III NICU in Southern California. Participants: Twenty mothers of hospitalized preterm infants (24-32 weeks gestational age). Methods: Correlational analyses of RGI use with self-reported measures of distress (perceived stress, state anxiety, and depression symptoms), awakening salivary cortisol level, and salivary cortisol awakening response collected from mothers at baseline and after 8 weeks of an RGI intervention. Results: Nineteen mothers completed the study. Average use of RGI varied from 1.7 to 7.4 times per week (mean = 4.46, standard deviation = 2.7). Greater average use of RGI was correlated with lower awakening cortisol levels (r = -.38), greater cortisol awakening response (r =.36), and lower levels of distress (perceived stress [r = -.38], anxiety [r = -.43], and depression [r = -.41]). Conclusion: Relaxation guided imagery may be a feasible and acceptable intervention to reduce mental and physiologic stress and improve responsiveness in mothers of hospitalized preterm infants

Demonstrating Continuous Variable Einstein–Podolsky–Rosen Steering in Spite of Finite Experimental Capabilities Using Fano Steering Bounds

We show how one can demonstrate continuous-variable Einstein–Podolsky–Rosen (EPR) steering without needing to characterize entire measurement probability distributions. To do this, we develop a modified Fano inequality useful for discrete measurements of continuous variables and use it to bound the conditional uncertainties in continuous-variable entropic EPR-steering inequalities. With these bounds, we show how one can hedge against experimental limitations including a finite detector size, dead space between pixels, and any such factors that impose an incomplete sampling of the true measurement probability distribution. Furthermore, we use experimental data from the position and momentum statistics of entangled photon pairs in parametric downconversion to show that this method is sufficiently sensitive for practical use

Compressively Characterizing High-dimensional Entangled States with Complementary, Random Filtering

The resources needed to conventionally characterize a quantum system are overwhelmingly large for high-dimensional systems. This obstacle may be overcome by abandoning traditional cornerstones of quantum measurement, such as general quantum states, strong projective measurement, and assumption-free characterization. Following this reasoning, we demonstrate an efficient technique for characterizing high-dimensional, spatial entanglement with one set of measurements. We recover sharp distributions with local, random filtering of the same ensemble in momentum followed by position—something the uncertainty principle forbids for projective measurements. Exploiting the expectation that entangled signals are highly correlated, we use fewer than 5000 measurements to characterize a 65,536-dimensional state. Finally, we use entropic inequalities to witness entanglement without a density matrix. Our method represents the sea change unfolding in quantum measurement, where methods influenced by the information theory and signal-processing communities replace unscalable, brute-force techniques—a progression previously followed by classical sensing