Improving Quantum State Estimation with Mutually Unbiased Bases
arXiv:0808.0944 · doi:10.1103/PhysRevLett.105.030406
Abstract
When used in quantum state estimation, projections onto mutually unbiased bases have the ability to maximize information extraction per measurement and to minimize redundancy. We present the first experimental demonstration of quantum state tomography of two-qubit polarization states to take advantage of mutually unbiased bases. We demonstrate improved state estimation as compared to standard measurement strategies and discuss how this can be understood from the structure of the measurements we use. We experimentally compared our method to the standard state estimation method for three different states and observe that the infidelity was up to 1.84+/-0.06 times lower using our technique than it was using standard state estimation methods.
5 pages, 2 figures, 1 table
References in corpus (4)
Cited by in corpus (95)
- Higher-dimensional orbital angular momentum based quantum key distribution with mutually unbiased bases
- Entanglement detection via mutually unbiased bases
- Experimental high-dimensional quantum teleportation
- Adaptive Bayesian Quantum Tomography
- Quantum State Tomography via Linear Regression Estimation
- Recursively Adaptive Quantum State Tomography: Theory and Two-qubit Experiment
- Characterization of high-dimensional entangled systems via mutually unbiased measurements
- Experimental quantum tomography of photonic qudits via mutually unbiased basis
- Non-Markovian Quantum Process Tomography
- Deterministic realization of collective measurements via photonic quantum walks
- Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments
- Experimental Adaptive Quantum Tomography of Two-Qubit States
- Entanglement detection using mutually unbiased measurements
- Quantum state estimation with informationally overcomplete measurements
- Measurement-based adaptation protocol with quantum reinforcement learning
- Quantum Circuit Cutting with Maximum Likelihood Tomography
- Optimal two-qubit tomography based on local and global measurements: Maximal robustness against errors as described by condition numbers
- Work extraction from unknown quantum sources
- Quantum process reconstruction based on mutually unbiased basis
- Temporal Quantum-State Tomography of Narrowband Biphotons
- High-Fidelity Polarization Storage in a Gigahertz Bandwidth Quantum Memory
- Unextendible maximally entangled bases and mutually unbiased bases
- Test of mutually unbiased bases for six-dimensional photonic quantum systems
- Self-calibrating Quantum State Tomography
- Quantum Conical Designs
- Quantum polarization tomography of bright squeezed light
- Mutually unbiased bases: tomography of spin states and star-product scheme
- Pure State Tomography with Pauli Measurements
- Neutrino oscillations and Lorentz Invariance Violation in a Finslerian Geometrical model
- Integrated Photonic Sensing
- Quantum state tomography of large nuclear spins in a semiconductor quantum well: Optimal robustness against errors as quantified by condition numbers
- High-dimensional discrete Fourier transform gates with the quantum frequency processor
- Experimental study of optimal measurements for quantum state tomography
- Scalable Quantum Tomography with Fidelity Estimation
- Iso-entangled mutually unbiased bases, symmetric quantum measurements and mixed-state designs
- Priority Choice Experimental Two-qubit Tomography: Measuring One by One All Elements of Density Matrices
- Errors in quantum tomography: diagnosing systematic versus statistical errors
- Nonlocality, steering and quantum state tomography in a single experiment
- Determination of any pure spatial qudits from a minimum number of measurements by phase stepping interferometry
- A Practical Introduction to Benchmarking and Characterization of Quantum Computers
- Graph-state formalism for mutually unbiased bases
- Neural network state estimation for full quantum state tomography
- Reconfigurable generation and measurement of mutually unbiased bases for time-bin qudits
- Realization of mutually unbiased bases for a qubit with only one wave plate: Theory and experiment
- A Note on Mutually Unbiased Unextendible Maximally Entangled Bases in
- Connections of geometric measure of entanglement of pure symmetric states to quantum state estimation
- How many mutually unbiased bases are needed to detect bound entangled states?
- Direct state reconstruction with coupling-deformed pointer observables
- Construction of mutually unbiased bases with cyclic symmetry for qubit systems
- Beating noise with abstention in state estimation
- Mutually unbiased frames
- Quantum Key Distribution Highly Sensitive to Eavesdropping
- Scalable estimation of pure multi-qubit states
- On the Optimal Choice of Spin-Squeezed States for Detecting and Characterizing a Quantum Process
- Bipartite entangled stabilizer mutually unbiased bases as maximum cliques of Cayley graphs
- Quantum tomography benchmarking
- Neural networks for quantum state tomography with constrained measurements
- Quantum Measurements in the Light of Quantum State Estimation
- Fourier Transform Quantum State Tomography
- Orbits of mutually unbiased bases
- Optimal parameter estimation with a fixed rate of abstention
- A set of observables to determine any pure qudit state
- Quantum Polarimetry
- Non-Markovianity in High-Dimensional Open Quantum Systems using Next-generation Multicore Optical Fibers
- Bidirectional deep learning of polarization transfer in liquid crystals with application to quantum state preparation
- Ptychography of pure quantum states
- Improving direct state measurements by using rebits in real enlarged Hilbert spaces
- From polarization multipoles to higher-order coherences
- High-precision tomography of ion qubits based on registration of fluorescent photons
- Unitary and Non-Unitary Matrices as a Source of Different Bases of Operators Acting on Hilbert Spaces
- Quantum tomography via Non-orthogonal basis and weak values
- Adaptive State Fidelity Estimation for Higher Dimensional Bipartite Entanglement
- Constructing mutually unbiased bases from unextendible maximally entangled bases
- Spectrum of Single-Photon Scattering in a Strong-Coupling Hybrid Optomechanical System
- Generalized reduction formula for Discrete Wigner functions of multiqubit systems
- Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories
- Simple Adaption of Measurements for Qudit Estimation
- Macroscopic approach to N-qudit systems
- A Variational Approach to Unique Determinedness in Pure-state Tomography
- Minimal orthonormal bases for pure quantum state estimation
- Optimal unbiased state characterization
- Novel Constructions of Mutually Unbiased Tripartite Absolutely Maximally Entangled Bases
- Matrix-Completion Quantum State Tomography
- All classes of informationally complete symmetric measurements in finite dimensions
- Enhanced Compressive Threshold Quantum State Tomography for Qudit Systems
- Determination of spatial quantum states by using Point Diffraction Interferometry
- Informationally Overcomplete POVMs for Quantum State Estimation and Binary Detection
- Mutually disjoint, maximally commuting set of physical observables for optimum state determination
- Adaptive quantum state tomography with iterative particle filtering
- Mutually unbiased measurements with arbitrary purity
- Quantum Pattern Recognition in Photonic Circuits
- Optimizing Circuit Reusing and its Application in Randomized Benchmarking
- Universal and Efficient Quantum State Verification via Schmidt Decomposition and Mutually Unbiased Bases
- Equivalence of mutually unbiased bases via orbits: general theory and a case study
- Limitations for adaptive quantum state tomography in the presence of detector noise