Iterative algorithm for reconstruction of entangled states
arXiv:quant-ph/0009093 · doi:10.1103/PhysRevA.63.040303
Abstract
An iterative algorithm for the reconstruction of an unknown quantum state from the results of incompatible measurements is proposed. It consists of Expectation-Maximization step followed by a unitary transformation of the eigenbasis of the density matrix. The procedure has been applied to the reconstruction of the entangled pair of photons.
4 pages, no figures, some formulations changed, a minor mistake corrected
References in corpus (6)
Cited by in corpus (67)
- On the Measurement of Qubits
- Continuous-variable optical quantum state tomography
- Generation of a superposition of odd photon number states for quantum information networks
- Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators
- Increasing entanglement between Gaussian states by coherent photon subtraction
- Iterative maximum-likelihood reconstruction in quantum homodyne tomography
- Triggered qutrits for Quantum Communication protocols
- Diluted maximum-likelihood algorithm for quantum tomography
- Quantum inference of states and processes
- Unconditional Room Temperature Quantum Memory
- Remote preparation of a single-mode photonic qubit by measuring field quadrature noise
- Permutationally invariant state reconstruction
- Deterministic generation of multiparticle entanglement by quantum Zeno dynamics
- Homodyne tomography characterization and nonlocality of a dual-mode optical qubit
- A device for feasible fidelity, purity, Hilbert-Schmidt distance and entanglement witness measurements
- Local transformation of two EPR photon pairs into a three-photon W state
- Perturbative approach to Markovian open quantum systems
- Quantum Machine Learning: from physics to software engineering
- Finding optimal strategies for minimum-error quantum-state discrimination
- Mapping coherence in measurement via full quantum tomography of a hybrid optical detector
- Realization of near-deterministic arithmetic operations and quantum state engineering
- Practical, Reliable Error Bars in Quantum Tomography
- Generic local distinguishability and completely entangled subspaces
- Quantum state estimation with informationally overcomplete measurements
- Optimal two-qubit tomography based on local and global measurements: Maximal robustness against errors as described by condition numbers
- Demonstration of local expansion toward large-scale entangled webs
- Quantum state tomography with quantum shotnoise
- Pulsed squeezed vacuum characterization without homodyning
- A New Strategy of Quantum-State Estimation for Achieving the Cramer-Rao Bound
- Testing nonclassicality and non-Gaussianity in phase space
- Accuracy of quantum-state estimation utilizing Akaike's information criterion
- Experimental Identification of Non-Abelian Topological Orders on a Quantum Simulator
- Quantum computation and simulation with vibrational modes of trapped ions
- Invariant information and quantum state estimation
- Experimental test of strongly non-classical character of a noisy squeezed single-photon state
- CNM: An Interpretable Complex-valued Network for Matching
- Quantum State Tomography using Quantum Machine Learning
- Optimizing a Polynomial Function on a Quantum Simulator
- Priority Choice Experimental Two-qubit Tomography: Measuring One by One All Elements of Density Matrices
- Reconstruction of photon statistics using low performance photon counters
- Observation of Supersymmetry and its Spontaneous Breaking in a Trapped Ion Quantum Simulator
- Quantification of entanglement by means of convergent iterations
- Negative Wigner function at telecommunication wavelength from homodyne detection
- Information propagation in a quantum system. Examples of open spin-1/2 chains
- Connections of geometric measure of entanglement of pure symmetric states to quantum state estimation
- Experimental quantum tomography assisted by multiply symmetric states in higher dimensions
- Quantum State Tomography for Matrix Product Density Operators
- Phase-space distributions of Bose-Einstein condensates in an optical lattice: Optimal shaping and reconstruction
- Quantum benchmarking with realistic states of light
- Neural networks for quantum state tomography with constrained measurements
- Image processing as state reconstruction in optics
- Experimentally identifying the entanglement class of pure tripartite states
- Neural networks in quantum many-body physics: a hands-on tutorial
- Empirical Sample Complexity of Neural Network Mixed State Reconstruction
- Neutron wave packet tomography
- Theory of versatile fidelity estimation with confidence
- Single-photon-added coherent state based measurement transition and its advantages in precision measurement
- Extracting an arbitrary relative phase from a multiqubit two-component entangled state
- Comparison of confidence regions for quantum state tomography
- Photonic interface between subcarrier wave and dual rail encodings
- Discrimination between non perfectly known states
- Retrieving space-dependent polarization transformations via near-optimal quantum process tomography
- Wigner-negative states in the steady-state emission of a two-level system driven by squeezed light
- Single-shot quantum measurements sketch quantum many-body states
- Spectrally Resolved Quantum Tomography of Polarization Entangled States
- Rigorous Maximum Likelihood Estimation for Quantum States
- On the correction of anomalous phase oscillation in entanglement witnesses using quantum neural networks