Measuring Measurement: Theory and Practice

Abstract

Recent efforts have applied quantum tomography techniques to the calibration and characterization of complex quantum detectors using minimal assumptions. In this work we provide detail and insight concerning the formalism, the experimental and theoretical challenges and the scope of these tomographical tools. Our focus is on the detection of photons with avalanche photodiodes and photon number resolving detectors and our approach is to fully characterize the quantum operators describing these detectors with a minimal set of well specified assumptions. The formalism is completely general and can be applied to a wide range of detectors

22 pages, 27 figures

References in corpus (36)

• Entanglement detection
• Measurement-based quantum computation with cluster states
• Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
• Quantum state reconstruction of the single-photon Fock state
• Entanglement-free Heisenberg-limited phase estimation
• Continuous-variable teleportation improvement by photon subtraction via conditional measurement
• Effects of detector efficiency mismatch on security of quantum cryptosystems
• Measuring measurement
• Ancilla-assisted quantum process tomography
• Increasing entanglement between Gaussian states by coherent photon subtraction
• Proposal for a loophole-free Bell test using homodyne detection
• Fiber-assisted detection with photon number resolution
• Time-reversal and super-resolving phase measurements
• Teleportation improvement by inconclusive photon subtraction
• Quantitative entanglement witnesses
• Direct measurement of the Wigner function by photon counting
• Driving non-Gaussian to Gaussian states with linear optics
• Estimating entanglement measures in experiments
• Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states
• Quantum inference of states and processes
• Maximum-likelihood estimation of quantum measurement
• Complete Characterization of Quantum-Optical Processes
• Universally-composable privacy amplification from causality constraints
• Quantum Physics of Simple Optical Instruments
• When are correlations quantum? -- Verification and quantification of entanglement by simple measurements
• Distillation of continuous-variable entanglement with optical means
• A Robust Method for Estimating the Lindblad Operators of a Dissipative Quantum Process from Measurements of the Density Operator at Multiple Time Points
• Direct, Loss-Tolerant Characterization of Nonclassical Photon Statistics
• Radon transform and pattern functions in quantum tomography
• Absolute efficiency estimation of photon-number-resolving detectors using twin beams
• A proposed testbed for detector tomography
• Measuring quantum optical Hamiltonians
• Reliability of the beamsplitter based Bell-state measurement
• Avalanche Photo-Detection for High Data Rate Applications
• On the experimental feasibility of continuous-variable optical entanglement distillation
• Retrodictive quantum state engineering

Cited by in corpus (51)

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• Quantum Decoherence of Single-Photon Counters
• Position-Dependent Local Detection Efficiency in a Nanowire Superconducting Single-Photon Detector
• Nonlinearity in Single Photon Detection: Modeling and Quantum Tomography
• Correlation measurements with on-off detectors
• Recursive quantum detector tomography
• Improved heralded single-photon source with a photon-number-resolving superconducting nanowire detector
• Quantum state estimation with unknown measurements
• Room temperature photon number resolving detector at telecom wavelengths
• Detecting correlated errors in SPAM tomography
• High-fidelity spatially resolved multiphoton counting for quantum imaging applications
• Experimental quantification of coherence of a tunable quantum detector
• Universal Response Curve for Nanowire Superconducting Single-Photon Detectors
• Integrated Photonic Sensing
• Quantum detector tomography of a 2x2 multi-pixel array of superconducting nanowire single photon detectors
• Direct calibration of click-counting detectors
• Two-stage Estimation for Quantum Detector Tomography: Error Analysis, Numerical and Experimental Results
• Precisely determining photon-number in real-time
• Homodyne detection with on-off detector systems
• Photon counts statistics of squeezed and multi-mode thermal states of light on multiplexed on-off detectors
• Entanglement quantification from incomplete measurements: Applications using photon-number-resolving weak homodyne detectors
• Self-consistent quantum measurement tomography based on semidefinite programming
• Efficient tomography with unknown detectors
• Detector-Agnostic Phase-Space Distributions
• Scheme for the generation of hybrid entanglement between time-bin and wavelike encodings
• Tomography of Spatial Mode Detectors
• Directly Characterizing the Coherence of Quantum Detectors by Sequential Measurement
• Quantum detector tomography of a high dynamic-range superconducting nanowire single-photon detector
• Characterization of entangling properties of quantum measurement via two-mode quantum detector tomography using coherent state probes
• Non-holonomic tomography I: The Born rule as a connection between experiments
• Experimental retrieval of photon statistics from click detection
• Continuous-variable quantum process tomography with squeezed-state probes
• Data-Driven Inference, Reconstruction, and Observational Completeness of Quantum Devices
• Optimized detector tomography for photon-number resolving detectors with hundreds of pixels
• Projecting onto any two-photon polarization state using linear optics
• Enhancing qubit readout with Bayesian Learning
• Measuring Quantum Correlations using Lossy Photon-Number-Resolving Detectors with Saturation
• When quantum state tomography benefits from willful ignorance
• Quantum detector tomography applied to the human visual system: a feasibility study
• Information extraction in photon-counting experiments
• Scalable quantum detector tomography by high-performance computing
• Tomography of a single-atom-resolved detector in the presence of shot-to-shot number fluctuations
• Bayesian mitigation of measurement errors in multiqubit experiments
• Precision Bounds for Characterising Quantum Measurements
• Quantum advantage for single-photon state characterization
• Practical considerations for assignment of photon numbers with SNSPDs
• Ability of entanglement and purity to help to detect systematic experimental errors