Quantifying high dimensional entanglement with two mutually unbiased bases
arXiv:1512.05315 · doi:10.22331/q-2017-07-28-22
Abstract
We derive a framework for quantifying entanglement in multipartite and high dimensional systems using only correlations in two unbiased bases. We furthermore develop such bounds in cases where the second basis is not characterized beyond being unbiased, thus enabling entanglement quantification with minimal assumptions. Furthermore, we show that it is feasible to experimentally implement our method with readily available equipment and even conservative estimates of physical parameters.
17 pages, 1 figure
References in corpus (18)
- Multi-photon entanglement in high dimensions
- Measure of genuine multipartite entanglement with computable lower bounds
- Imaging high-dimensional spatial entanglement with a camera
- The structure of multidimensional entanglement in multipartite systems
- Estimating entanglement measures in experiments
- Genuinely Multipartite Concurrence of N-qubit X-matrices
- Hologram of a Single Photon
- Characterization of high-dimensional entangled systems via mutually unbiased measurements
- Evaluation of convex roof entanglement measures
- Einstein-Podolsky-Rosen paradox in twin images
- Shannon dimensionality of quantum channels and its application to photon entanglement
- Determining lower bounds on a measure of multipartite entanglement from few local observables
- Experimental access to higher-dimensional entangled quantum systems using integrated optics
- Shot-by-shot imaging of Hong-Ou-Mandel interference with an intensified sCMOS camera
- Storage of hyperentanglement in a solid-state quantum memory
- Quantification of multidimensional entanglement stored in a crystal
- Symmetries and collective excitations in large superconducting circuits
- Detecting entanglement of continuous variables with three mutually unbiased bases
Cited by in corpus (26)
- Entanglement Certification From Theory to Experiment
- Measurements in two bases are sufficient for certifying high-dimensional entanglement
- Tailoring nonlinear processes for quantum optics with pulsed temporal-mode encodings
- High-Dimensional Pixel Entanglement: Efficient Generation and Certification
- Quantifying measurement incompatibility of mutually unbiased bases
- Quantifying entanglement in a 68-billion dimensional quantum state space
- Quantifying high-dimensional entanglement with Einstein-Podolsky-Rosen correlations
- Quantification of multidimensional entanglement stored in a crystal
- Four-dimensional entanglement distribution over 100 km
- Entanglement quantification in atomic ensembles
- Characterizing entanglement dimensionality from randomized measurements
- Pearson Correlation Coefficient as a measure for Certifying and Quantifying High Dimensional Entanglement
- Certification of high-dimensional entanglement and Einstein-Podolsky-Rosen steering with cold atomic quantum memory
- Resource-efficient high-dimensional entanglement detection via symmetric projections
- Uncertainty Relations for coarse-grained measurements: an overview
- Bounding entanglement dimensionality from the covariance matrix
- How many mutually unbiased bases are needed to detect bound entangled states?
- Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles
- High-dimensional entanglement witnessed by correlations in arbitrary bases
- Detecting high-dimensional entanglement in cold-atom quantum simulators
- Experimental certification of high-dimensional entanglement with randomized measurements
- Complementary properties of multiphoton quantum states in linear optics networks
- Entanglement Meter: Estimation of entanglement with single copy in Interferometer
- Choice of mutually unbiased bases and outcome labelling affects measurement outcome secrecy
- Full-field mapping of spatially varying polarization entanglement generated from spontaneous parametric down-conversion
- High-dimensional quantum communication with scalable photonic entanglement in time and frequency