Robust one-sided self-testing of two-qubit states via quantum steering
arXiv:2210.11243 · doi:10.1103/PhysRevA.106.042424
Abstract
Entangled two-qubit states are the core building blocks for constructing quantum communication networks. Their accurate verification is crucial to the functioning of the networks, especially for untrusted networks. In this work we study the self-testing of two-qubit entangled states via steering inequalities, with robustness analysis against noise. More precisely, steering inequalities are constructed from the tilted Clauser-Horne-Shimony-Holt inequality and its general form, to verify the general two-qubit entangled states. The study provides a good robustness bound, using both local extraction map and numerical semidefinite-programming methods. In particular, optimal local extraction maps are constructed in the analytical method, which yields the theoretical optimal robustness bound. To further improve the robustness of one-sided self-testing, we propose a family of three measurement settings steering inequalities. The result shows that three-setting steering inequality demonstrates an advantage over two-setting steering inequality on robust self-testing with noise. Moreover, to construct a practical verification protocol, we clarify the sample efficiency of our protocols in the one-sided device-independent scenario.
arXiv comment17pages, 6figures
References in corpus (48)
- The Quantum Internet
- Advances in Quantum Metrology
- Bell nonlocality
- Device-independent security of quantum cryptography against collective attacks
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Secure quantum key distribution with realistic devices
- Random Numbers Certified by Bell's Theorem
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Quantum state tomography via compressed sensing
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- Quantum Steering
- Roads towards fault-tolerant universal quantum computation
- Fully device independent quantum key distribution
- Direct Fidelity Estimation from Few Pauli Measurements
- Experimental EPR-Steering of Bell-local States
- Self-testing of quantum systems: a review
- Quantum certification and benchmarking
- Randomness vs Non Locality and Entanglement
- Device independent quantum random number generation
- Robust Self Testing of the Singlet
- Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
- All Pure Bipartite Entangled States can be Self-Tested
- Sum-of-squares decompositions for a family of CHSH-like inequalities and their application to self-testing
- Analytic and nearly optimal self-testing bounds for the Clauser-Horne-Shimony-Holt and Mermin inequalities
- Theory of quantum system certification: a tutorial
- Robust and versatile black-box certification of quantum devices
- Experimental Verification of Multipartite Entanglement in Quantum Networks
- Optimal verification of entangled states with local measurements
- Optimal randomness certification in the quantum steering and prepare-and-measure scenarios
- Maximal randomness expansion from steering inequality violations using qudits
- Fine-grained EPR-steering inequalities
- Analog of the Clauser-Horne-Shimony-Holt inequality for steering
- Efficient Verification of Pure Quantum States in the Adversarial Scenario
- All the self-testings of the singlet for two binary measurements
- Multipartite entanglement verification resistant against dishonest parties
- Device-independent parallel self-testing of two singlets
- Rigidity of quantum steering and one-sided device-independent verifiable quantum computation
- Anonymity for practical quantum networks
- Self-testing entangled measurements in quantum networks
- Self-testing through EPR-steering
- Anonymous Quantum Conference Key Agreement
- Noise-resistant device-independent certification of Bell state measurements
- One-sided Device-independent Self-testing of any Pure Two-qubit Entangled State
- Sample-efficient device-independent quantum state verification and certification
- Robust self-testing of two-qubit states
- Self-testing with finite statistics enabling the certification of a quantum network link
- Robust Semi-Device Independent Certification of All Pure Bipartite Maximally Entangled States via Quantum Steering