Experimental hierarchy of two-qubit quantum correlations without state tomography
arXiv:2302.10159 · doi:10.1038/s41598-023-35015-9
Abstract
A Werner state, which is the singlet Bell state affected by white noise, is a prototype example of states, which can reveal a hierarchy of quantum entanglement, steering, and Bell nonlocality by controlling the amount of noise. However, experimental demonstrations of this hierarchy in a sufficient and necessary way (i.e., by applying measures or universal witnesses of these quantum correlations) have been mainly based on full quantum state tomography, corresponding to measuring at least 15 real parameters of two-qubit states. Here we report an experimental demonstration of this hierarchy by measuring only six elements of a correlation matrix depending on linear combinations of two-qubit Stokes parameters. We show that our experimental setup can also reveal the hierarchy of these quantum correlations of generalized Werner states, which are any two-qubit pure states affected by white noise.
12 pages, 4 figures
References in corpus (20)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Bounding the set of quantum correlations
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- A complete family of separability criteria
- Observation of one-way Einstein-Podolsky-Rosen steering
- Testing nonclassicality in multimode fields: a unified derivation of classical inequalities
- Nonclassical correlation properties of radiation fields
- Two-qubit mixed states more entangled than pure states: Comparison of the relative entropy of entanglement for a given nonlocality
- Inseparability criteria based on matrices of moments
- Exploration quantum steering, nonlocality and entanglement of two-qubit X-state in structured reservoirs
- Comment on ``Inseparability Criteria for Continuous Bipartite Quantum States''
- Determination of the Schmidt number
- Bell nonlocality and fully-entangled fraction measured in an entanglement-swapping device without quantum state tomography
- Method for universal detection of two-photon polarization entanglement
- Entanglement as upper bounded for the nonlocality of a general two-qubit system
- Collectibility for Mixed Quantum States
- Two methods for measuring Bell nonlocality via local unitary invariants of two-qubit systems in Hong-Ou-Mandel interferometers