Testing quantum mechanics: a statistical approach
arXiv:1306.2699 · doi:10.2478/qmetro-2013-0007
Abstract
As experiments continue to push the quantum-classical boundary using increasingly complex dynamical systems, the interpretation of experimental data becomes more and more challenging: when the observations are noisy, indirect, and limited, how can we be sure that we are observing quantum behavior? This tutorial highlights some of the difficulties in such experimental tests of quantum mechanics, using optomechanics as the central example, and discusses how the issues can be resolved using techniques from statistics and insights from quantum information theory.
v1: 2 pages; v2: invited tutorial for Quantum Measurements and Quantum Metrology, substantial expansion of v1, 19 pages; v3: accepted; v4: corrected some errors, published
References in corpus (22)
- Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
- Hidden Variables and the Two Theorems of John Bell
- Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- The Resource Theory of Stabilizer Computation
- Strong Optomechanical Squeezing of Light
- Observation of Radiation Pressure Shot Noise on a Macroscopic Object
- Quantum Optomechanics - throwing a glance
- Quantum-enhanced optical phase tracking
- Past quantum states
- Evading quantum mechanics
- Time-Symmetric Quantum Theory of Smoothing
- Standard Quantum Limit for Probing Mechanical Energy Quantization
- Laser noise in cavity-optomechanical cooling and thermometry
- Quantum-Limited Mirror-Motion Estimation
- Fundamental quantum limits to waveform detection
- Optomechanical parameter estimation
- Eventum Mechanics of Quantum Trajectories: Continual Measurements, Quantum Predictions and Feedback Control
- Quantum Information Science: Emerging No More
- Mismatched Quantum Filtering and Entropic Information
- Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
- Comment on "A classical model for asymmetric sidebands in cavity optomechanical measurements"
Cited by in corpus (8)
- Quantum-classical hypothesis tests in macroscopic matter-wave interferometry
- Dynamical model selection near the quantum-classical boundary
- Volterra filters for quantum estimation and detection
- Optimal signal processing for continuous qubit readout
- Coupling rotational and translational motion via a continuous measurement in an optomechanical sphere
- Mismatched Quantum Filtering and Entropic Information
- A Bayesian quasi-probability approach to inferring the past of quantum observables
- Certifying Macroscopic Quantum Mechanics via Hypothesis Testing with Finite Data