Robust and versatile black-box certification of quantum devices
arXiv:1406.7127 · doi:10.1103/PhysRevLett.113.040401
Abstract
Self-testing refers to the fact that, in some quantum devices, both states and measurements can be assessed in a black-box scenario, on the sole basis of the observed statistics, i.e. without reference to any prior device calibration. Only a few examples of self-testing are known, and they just provide non-trivial assessment for devices performing unrealistically close to the ideal case. We overcome these difficulties by approaching self-testing with the semi-definite programming hierarchy for the characterization of quantum correlations. This allows us to improve dramatically the robustness of previous self-testing schemes -e.g.: we show that a CHSH violation larger than 2.57 certifies a singlet fidelity of more than 70%. In addition, the versatility of the tool brings about self-testing of hitherto impossible cases, such as robust self-testing of non-maximally entangled two-qutrit states in the CGLMP scenario.
arXiv comment4 pages, 4 figures, 1 appendix
References in corpus (12)
- Bell nonlocality
- Device-independent security of quantum cryptography against collective attacks
- Random Numbers Certified by Bell's Theorem
- Bell inequalities for arbitrarily high dimensional systems
- Bounding the set of quantum correlations
- Detection-Loophole-Free Test of Quantum Nonlocality, and Applications
- Measuring measurement
- Private Randomness Expansion With Untrusted Devices
- Quantum non-locality in two three-level systems
- Robust Self Testing of the Singlet
- Quantum nonlocality, Bell inequalities and the memory loophole
- Asymptotically optimal data analysis for rejecting local realism
Cited by in corpus (94)
- Multidimensional quantum entanglement with large-scale integrated optics
- Quantum steering: a review with focus on semidefinite programming
- Self-testing of quantum systems: a review
- All Pure Bipartite Entangled States can be Self-Tested
- Quantum fidelity measures for mixed states
- Analytic and nearly optimal self-testing bounds for the Clauser-Horne-Shimony-Holt and Mermin inequalities
- Physical characterization of quantum devices from nonlocal correlations
- Self-testing quantum states and measurements in the prepare-and-measure scenario
- Natural Framework for Device-Independent Quantification of Quantum Steerability, Measurement Incompatibility, and Self-Testing
- Self-testing of binary observables based on commutation
- Self-testing multipartite entangled states through projections onto two systems
- Bell inequalities tailored to maximally entangled states
- All the self-testings of the singlet for two binary measurements
- Self-testing mutually unbiased bases in the prepare-and-measure scenario
- Device-independent parallel self-testing of two singlets
- Self-testing protocols based on the chained Bell inequalities
- Self-testing non-projective quantum measurements in prepare-and-measure experiments
- Family of Bell-like inequalities as device-independent witnesses for entanglement depth
- Robust self testing of the 3-qubit state
- Certifying the building blocks of quantum computers from Bell's theorem
- Advantage distillation for device-independent quantum key distribution
- Self-testing entangled measurements in quantum networks
- Device-independent tomography of multipartite quantum states
- Self-testing through EPR-steering
- Device-independent point estimation from finite data and its application to device-independent property estimation
- Semidefinite programming relaxations for quantum correlations
- Noise-resistant device-independent certification of Bell state measurements
- Witnessing irreducible dimension
- Device-Independent Tests of Entropy
- Quantum networks self-test all entangled states
- Experimental certification of an informationally complete quantum measurement in a device-independent protocol
- Noisy intermediate-scale quantum algorithm for semidefinite programming
- Robust self-testing of two-qubit states
- Bell inequalities violated using detectors of low efficiency
- Robust self-testing of steerable quantum assemblages and its applications on device-independent quantum certification
- Experimental robust self-testing of the state generated by a quantum network
- Device-independent quantum key distribution with arbitrarily small nonlocality
- Semi-definite programming and quantum information
- A weak form of self-testing
- Survey on the Bell nonlocality of a pair of entangled qudits
- Postquantum common-cause channels: the resource theory of local operations and shared entanglement
- A new device-independent dimension witness and its experimental implementation
- Robust Self-Testing of Multiparticle Entanglement
- Self-testing with finite statistics enabling the certification of a quantum network link
- Sum-of-squares decompositions for a family of noncontextuality inequalities and self-testing of quantum devices
- Robust Semi-Device Independent Certification of All Pure Bipartite Maximally Entangled States via Quantum Steering
- Self-testing of multipartite GHZ states of arbitrary local dimension with arbitrary number of measurements per party
- Device-Independent Bit Commitment based on the CHSH Inequality
- Exploring the framework of assemblage moment matrices and its applications in device-independent characterizations
- An elegant proof of self-testing for multipartite Bell inequalities
- Self-testing in prepare-and-measure scenarios and a robust version of Wigner's theorem
- Bounding the plausibility of physical theories in a device-independent setting via hypothesis testing
- Bell inequalities tailored to the Greenberger-Horne-Zeilinger states of arbitrary local dimension
- Graph-Theoretic Framework for Self-Testing in Bell Scenarios
- Experimental comparison of tomography and self-testing in certifying entanglement
- Device-independent certification of tensor products of quantum states using single-copy self-testing protocols
- Error-compensation measurements on polarization qubits
- Quantum Systems Engineering: A structured approach to accelerating the development of a quantum technology industry
- Closing the detection loophole in tripartite Bell tests using the W state
- Quantum correlations on the no-signaling boundary: self-testing and more
- Certified Quantum Measurement of Majorana Fermions
- Self-testing using only marginal information
- Custom Bell inequalities from formal sums of squares
- Self-testing and certification using trusted quantum inputs
- Maximal Violation of a Broad Class of Bell Inequalities and Its Implications on Self-Testing
- Device-independent verification of Einstein-Podolsky-Rosen steering
- Simple conditions constraining the set of quantum correlations
- Experimental verifiable multi-client blind quantum computing on a Qline architecture
- Towards the device-independent certification of a quantum memory
- Efficient tomography with unknown detectors
- Parallel self-testing of (tilted) EPR pairs via copies of (tilted) CHSH
- Self-testing two-qubit maximally entangled states from generalized CHSH tests
- Authenticated teleportation with one-sided trust
- Semi-device-independently characterizing quantum temporal correlations
- Data-pattern tomography of entangled states
- SymDPoly: symmetry-adapted moment relaxations for noncommutative polynomial optimization
- All Real Projective Measurements Can be Self-tested
- Optimality of semiquantum nonlocality in the presence of high inconclusive rates
- Self-testing tilted strategies for maximal loophole-free nonlocality
- When quantum state tomography benefits from willful ignorance
- Robust one-sided self-testing of two-qubit states via quantum steering
- Device-independent certification of desirable properties with a confidence interval
- Practical parallel self-testing of Bell states via magic rectangles
- Simultaneous Certification of Entangled States and Measurements in Bounded Dimensional Semi-Quantum Games
- Parallel remote state preparation for fully device-independent verifiable blind quantum computation
- Investigating an approach of robustly self-testing two-qubit entangled states
- Experimental self-testing of entangled states
- Self-testing of symmetric three-qubit states
- Some Aspects of Quantum Optics Using Light Fields in Traveling Waves
- Maximal device-independent randomness in every dimension
- Coarse-grained self-testing
- Comparing Singlet Testing Schemes
- Optimal Verification of the Bell State and Greenberger-Horne-Zeilinger States in Untrusted Quantum Networks
- Strength of statistical evidence for genuine tripartite nonlocality