Self-testing of binary Pauli measurements requiring neither entanglement nor any dimensional restriction

Abstract

Characterization of quantum devices received from unknown providers is a significant primary task for any quantum information processing protocol. Self-testing protocols are designed for this purpose of certifying quantum components from the observed statistics under a set of minimal assumptions. Here we propose a self-testing protocol for certifying binary Pauli measurements employing the violation of a Leggett-Garg inequality. The scenario based on temporal correlations does not require entanglement, a costly and fragile resource. Moreover, unlike previously proposed self-testing protocols in the prepare and measure scenario, our approach requires neither dimensional restrictions, nor other stringent assumptions on the type of measurements. We further analyse the robustness of this hitherto unexplored domain of self-testing of measurements.

arXiv commentAccepted in Phys. Rev. A, 10 pages, 2 figures, Closed to the published version

References in corpus (61)

• Quantum Cryptography
• The Quantum Internet
• Quantum Machine Learning
• Quantum sensing
• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Quantum metrology with nonclassical states of atomic ensembles
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Significant-loophole-free test of Bell's theorem with entangled photons
• A strong loophole-free test of local realism
• A simple test for hidden variables in spin-1 system
• Event-Ready Bell Test Using Entangled Atoms Simultaneously Closing Detection and Locality Loopholes
• Leggett-Garg Inequalities
• Self-testing of quantum systems: a review
• Quantum certification and benchmarking
• Violation of a Leggett-Garg inequality with ideal non-invasive measurements
• Robust Self Testing of the Singlet
• Classical world arising out of quantum physics under the restriction of coarse-grained measurements
• A self-testing quantum random number generator
• 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
• Condition for macroscopic realism beyond the Leggett-Garg inequalities
• Ideal negative measurements in quantum walks disprove theories based on classical trajectories
• Analytic and nearly optimal self-testing bounds for the Clauser-Horne-Shimony-Holt and Mermin inequalities
• A strict experimental test of macroscopic realism in a superconducting flux qubit
• Temporal quantum correlations and Leggett-Garg inequalities in multi-level systems
• Robust Self Testing of Unknown Quantum Systems into Any Entangled Two-Qubit States
• Quantum Random Access Codes using Single $d$-level Systems
• Semi-device independent random number expansion without entanglement
• Quantum correlations in the temporal CHSH scenario
• Self-testing quantum states and measurements in the prepare-and-measure scenario
• Bounding temporal quantum correlations
• No Fine theorem for macrorealism: Limitations of the Leggett-Garg inequality
• Addressing the clumsiness loophole in a Leggett-Garg test of macrorealism
• Self-testing of binary observables based on commutation
• Self-testing multipartite entangled states through projections onto two systems
• Self-testing non-projective quantum measurements in prepare-and-measure experiments
• Robust self testing of the 3-qubit $W$ state
• Self-testing of Pauli observables for device-independent entanglement certification
• Self-testing entangled measurements in quantum networks
• Self-testing through EPR-steering
• Sequential modular position and momentum measurements of a trapped ion mechanical oscillator
• Robust self-testing of quantum systems via noncontextuality inequalities
• Noise-resistant device-independent certification of Bell state measurements
• Experimental test of non-macrorealistic cat-states in the cloud
• Bell nonlocality, signal locality and unpredictability (or What Bohr could have told Einstein at Solvay had he known about Bell experiments)
• Macrorealism from entropic Leggett-Garg inequalities
• Non-classicality of temporal correlations
• One-sided Device-independent Self-testing of any Pure Two-qubit Entangled State
• Hierarchy in temporal quantum correlations
• Measurement-device-independent quantification of entanglement for given Hilbert space dimension
• Experimentally Robust Self-testing for Bipartite and Tripartite Entangled States
• Probing various formulations of macrorealism for unsharp quantum measurements
• Exploration of an augmented set of Leggett-Garg inequalities using a noninvasive continuous-in-time velocity measurement
• Genuine temporal correlations can certify the quantum dimension
• Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state
• Sum-of-squares decompositions for a family of noncontextuality inequalities and self-testing of quantum devices
• Increased Certification of Semi-device Independent Random Numbers using Many Inputs and More Postprocessing
• Optimal violation of Leggett-Garg inequality for arbitrary spin and emergence of classicality through unsharp measurement
• Canonical Leggett-Garg Inequality: Nonclassicality of temporal quantum correlations under energy constraint
• Testing local-realism and macro-realism under generalized dichotomic measurements
• Persistence of quantum violation of macrorealism for large spins even under coarsening of measurement times

Cited by in corpus (13)

• Quantifying Quantumness of Channels Without Entanglement
• Detecting violations of macrorealism when the original Leggett-Garg inequalities are satisfied
• Robust certification of arbitrary outcome quantum measurements from temporal correlations
• Maxwell's two-demon engine under pure dephasing noise
• Certification of unbounded randomness with arbitrary noise
• Scalable noncontextuality inequalities and certification of multiqubit quantum systems
• Experimental demonstration of the violation of the temporal Peres-Mermin inequality using contextual temporal correlations and noninvasive measurements
• Role of nonclassical temporal correlation in powering quantum random access codes
• Certification of two-qubit quantum systems with temporal inequality
• Robust certification of quantum instruments through a sequential communication game
• Hidden nonmacrorealism: reviving the Leggett-Garg inequality with stochastic operations
• Shared randomness allows violation of macroscopic realism using a single measurement
• Certification of multi-qubit quantum systems with temporal inequalities