Bounding the amount of entanglement from witness operators
arXiv:2312.04897 · doi:10.1103/PhysRevLett.132.110204
Abstract
We present an approach to estimate the operational distinguishability between an entangled state and any separable state directly from measuring an entanglement witness. We show that this estimation also implies bounds on a variety of other well-known entanglement quantifiers. This approach for entanglement estimation is then extended to to both the measurement-device-independent scenario and the fully device-independent scenario, where we obtain non-trivial but sub-optimal bounds. The procedure requires no numerical optimization and is easy to compute. It offers ways for experimenters to not only detect, but also quantify, entanglement from the standard entanglement witness procedure.
References in corpus (42)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantifying Entanglement
- Measurement-based quantum computation
- Bell Inequalities and the Separability Criterion
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- Robustness of entanglement
- Bounding the set of quantum correlations
- Witnessing multipartite entanglement
- A Schmidt number for density matrices
- Detecting Genuine Multipartite Entanglement with Two Local Measurements
- Entanglement Certification From Theory to Experiment
- Bell-type inequalities to detect true n-body non-separability
- Computing quantum discord is NP-complete
- Device-independent witnesses of genuine multipartite entanglement
- All Entangled Quantum States Are Nonlocal
- Quantifying Entanglement with Witness Operators
- Quantitative entanglement witnesses
- Entanglement witnesses: construction, analysis and classification
- The structure of multidimensional entanglement in multipartite systems
- Device-independent entanglement quantification and related applications
- Estimating entanglement measures in experiments
- Measurement-Device-Independent Entanglement Witnesses for All Entangled Quantum States
- Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension
- Multipartite Entanglement Witnesses
- Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
- Family of Bell-like inequalities as device-independent witnesses for entanglement depth
- Device-independent demonstration of genuine multipartite entanglement
- Experimental violation of multipartite Bell inequalities with trapped ions
- Classifying N-qubit Entanglement via Bell's Inequalities
- Efficient device-independent entanglement detection for multipartite systems
- Resource-efficient measurement device independent entanglement witness
- Bell correlations depth in many-body systems
- The Groverian Measure of Entanglement for Mixed States
- Measurement-Device-Independent Approach to Entanglement Measures
- Resource-efficient high-dimensional entanglement detection via symmetric projections
- Estimating entanglement of unknown states
- Fundamental Limitation on the Detectability of Entanglement
- Practical measurement-device-independent entanglement quantification
- Numerical construction of multipartite entanglement witnesses
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- Certifiable Lower Bounds of Wigner Negativity Volume and Non-Gaussian Entanglement with Conditional Displacement Gates
- Alternatives of entanglement depth and metrological entanglement criteria
- Detecting entanglement from macroscopic measurements of the electric field and its fluctuations
- Quantum network-entanglement measures
- Witness based nonlinear detection of quantum entanglement
- Detecting high-dimensional entanglement by randomized product projections
- Measurement-device-independent Schmidt number certification of all entangled states