Experimentally accessible bounds on distillable entanglement from entropic uncertainty relations
arXiv:2101.08847 · doi:10.1103/PhysRevLett.126.190503
Abstract
Entanglement is not only the resource that fuels many quantum technologies but also plays a key role for some of the most profound open questions of fundamental physics. Experiments controlling quantum systems at the single quantum level may shed light on these puzzles. However, measuring, or even bounding, entanglement experimentally has proven to be an outstanding challenge, especially when the prepared quantum states are mixed. We use entropic uncertainty relations for bipartite systems to derive measurable lower bounds on distillable entanglement. We showcase these bounds by applying them to physical models realizable in cold-atom experiments. The derived entanglement bounds rely on measurements in only two different bases and are generically applicable to any quantum simulation platform.
arXiv comment6 pages, 2 figures; v2: accepted version; see also the companion paper arXiv:2101.08848 [Phys. Rev. A 103, 052412 (2021)]
References in corpus (35)
- Thermalization and its mechanism for generic isolated quantum systems
- Quantum Simulation
- Topological entanglement entropy
- Entanglement detection
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum thermalization through entanglement in an isolated many-body system
- Distillation of secret key and entanglement from quantum states
- The Uncertainty Principle in the Presence of Quantum Memory
- Entropic Uncertainty Relations and their Applications
- Probing entanglement entropy via randomized measurements
- Probing entanglement in a many-body-localized system
- Jerusalem Lectures on Black Holes and Quantum Information
- Tools for quantum simulation with ultracold atoms in optical lattices
- Direct estimations of linear and non-linear functionals of a quantum state
- Universal Quantum Estimator
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- Spin-Nematic Squeezed Vacuum in a Quantum Gas
- Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models
- Spatial entanglement patterns and Einstein-Podolsky-Rosen steering in a Bose-Einstein condensate
- Measurements in two bases are sufficient for certifying high-dimensional entanglement
- Spatially distributed multipartite entanglement enables Einstein-Podolsky-Rosen steering of atomic clouds
- Improved entropic uncertainty relations and information exclusion relations
- Entanglement between two spatially separated atomic modes
- Entropic uncertainty relations and entanglement
- Satisfying the Einstein-Podolsky-Rosen criterion with massive particles
- Multipartite entanglement detection in bosons
- Experimental Characterization of Two-Particle Entanglement through Position and Momentum Correlations
- Quantum gas microscopy with spin, atom-number and multi-layer readout
- Thermal excitation spectrum from entanglement in an expanding quantum string
- Quantifying entanglement in a 68-billion dimensional quantum state space
- Quantifying high-dimensional entanglement with Einstein-Podolsky-Rosen correlations
- Experimentally accessible lower bounds for genuine multipartite entanglement and coherence measures
- Interferometric sensitivity and entanglement by scanning through quantum phase transitions in spinor Bose-Einstein condensates
- Entanglement detection in quantum many-body systems using entropic uncertainty relations
Cited by in corpus (12)
- Wehrl entropy, entropic uncertainty relations and entanglement
- Entanglement detection in quantum many-body systems using entropic uncertainty relations
- Entropic entanglement criteria in phase space
- Bounding entanglement dimensionality from the covariance matrix
- Recovering quantum correlations in optical lattices from interaction quenches
- Snapshot-based detection of -Laughlin states: coupled chains and central charge
- Detecting continuous variable entanglement in phase space with the -distribution
- Multipartite entanglement detection based on generalized state-dependent entropic uncertainty relation for multiple measurements
- A tomographic approach to the sum uncertainty relation and quantum entanglement in continuous variable systems
- Universal separability criterion for arbitrary density matrices from causal properties of separable and entangled quantum states
- Convex-roof entanglement measures of density matrices block diagonal in disjoint subspaces for the study of thermal states
- Error-mitigated inference of quantum network topology