Quantum Model Averaging
arXiv:1405.6329 · doi:10.1088/1367-2630/16/9/093035
Abstract
Standard tomographic analyses ignore model uncertainty. It is assumed that a given model generated the data and the task is to estimate the quantum state, or a subset of parameters within that model. Here we apply a model averaging technique to mitigate the risk of overconfident estimates of model parameters in two examples: (1) selecting the rank of the state in tomography and (2) selecting the model for the fidelity decay curve in randomized benchmarking.
For a summary, see http://i.imgur.com/nMJxANo.png
References in corpus (70)
- Quantum metrology
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Quantum state tomography via compressed sensing
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Control of quantum phenomena: Past, present, and future
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Unknown Quantum States and Operations, a Bayesian View
- Robust randomized benchmarking of quantum processes
- Efficient quantum state tomography
- Entanglement-free Heisenberg-limited phase estimation
- Quantum state estimation
- Quantum probabilities as Bayesian probabilities
- Direct Fidelity Estimation from Few Pauli Measurements
- Characterizing Quantum Gates via Randomized Benchmarking
- Unknown Quantum States: The Quantum de Finetti Representation
- Efficient measurement of quantum gate error by interleaved randomized benchmarking
- Induced measures in the space of mixed quantum states
- Generalized Limits for Single-Parameter Quantum Estimation
- Optimal, reliable estimation of quantum states
- Practical characterization of quantum devices without tomography
- Self-Consistent Quantum Process Tomography
- Towards a Formulation of Quantum Theory as a Causally Neutral Theory of Bayesian Inference
- Randomized benchmarking and process tomography for gate errors in a solid-state qubit
- Self-Consistent Measurement and State Tomography of an Exchange-Only Spin Qubit
- Permutationally invariant quantum tomography
- Hamiltonian Learning and Certification Using Quantum Resources
- Fundamental Quantum Limit to Waveform Estimation
- Scaling laws for precision in quantum interferometry and bifurcation landscape of optimal state
- Experimentally faking the violation of Bell's inequalities
- Single-qubit-gate error below 10^-4 in a trapped ion
- Robust Online Hamiltonian Learning
- Fisher information in quantum statistics
- Reliable Quantum State Tomography
- Optimal quantum-enhanced interferometry using a laser power source
- Adaptive Bayesian Quantum Tomography
- Quantum Bayes rule
- Adaptive quantum state tomography improves accuracy quadratically
- Investigating the limits of randomized benchmarking protocols
- Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
- Robust Extraction of Tomographic Information via Randomized Benchmarking
- Experimental estimation of one-parameter qubit gates in the presence of phase diffusion
- Hedged maximum likelihood estimation
- An Efficient Algorithm for Optimizing Adaptive Quantum Metrology Processes
- Quantum Hamiltonian Learning Using Imperfect Quantum Resources
- Characterization of a qubit Hamiltonian using adaptive measurements in a fixed basis
- Comparison between the Cramer-Rao and the mini-max approaches in quantum channel estimation
- Bayesian estimation of one-parameter qubit gates
- Randomized benchmarking of atomic qubits in an optical lattice
- How to best sample a periodic probability distribution, or on the accuracy of Hamiltonian finding strategies
- Optimal error regions for quantum state estimation
- Self-consistent tomography of the state-measurement Gram matrix
- Single shot parameter estimation via continuous quantum measurement
- Practical experimental certification of computational quantum gates via twirling
- When quantum tomography goes wrong: drift of quantum sources and other errors
- Accuracy of quantum-state estimation utilizing Akaike's information criterion
- A New Strategy of Quantum-State Estimation for Achieving the Cramer-Rao Bound
- Reconstruction of Liouvillian Superoperators
- Rank-based model selection for multiple ions quantum tomography
- Practical learning method for multi-scale entangled states
- Information criteria for efficient quantum state estimation
- Tomography of a spin qubit in a double quantum dot
- Conciliation of Bayes and Pointwise Quantum State Estimation: Asymptotic information bounds in quantum statistics
- Reliable Entanglement Verification
- Priors in quantum Bayesian inference
- Adaptive Hamiltonian Estimation Using Bayesian Experimental Design
- Error models in quantum computation: an application of model selection
- Quantum system characterization with limited resources
- The best Fisher is upstream: data processing inequalities for quantum metrology
- Characterizing Entanglement Sources
- Likelihood-free methods for quantum parameter estimation
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- Quantum certification and benchmarking
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- QInfer: Statistical inference software for quantum applications
- Adaptive quantum tomography
- Pseudo-Bayesian Quantum Tomography with Rank-adaptation
- Spin qudit tomography and state reconstruction error
- Semi-device-dependent blind quantum tomography
- Volterra filters for quantum estimation and detection
- Learning optimal quantum models is NP-hard
- An efficient adaptive MCMC algorithm for Pseudo-Bayesian quantum tomography
- Adaptive filtering of projective quantum measurements using discrete stochastic methods
- Simultaneous model selection and parameter estimation: A superconducting qubit coupled to a bath of incoherent two-level systems
- Crystallizing highly-likely subspaces that contain an unknown quantum state of light
- True experimental reconstruction of quantum states and processes via convex optimization
- Parameterized process characterization with reduced resource requirements