Semi-device-independent self-testing of unsharp measurements

Abstract

Unsharp quantum measurements provide a resource in scenarios where one faces the trade-off between information gain and disturbance. In this work we introduce a prepare-transform-measure scenario in which two-outcome unsharp measurements outperform their sharp counterparts, as well as any stochastic strategy involving dichotomic projective measurements. Based on that, we propose a scheme for semi-device-independent self-testing of unsharp measurements and show that all two-outcome qubit measurements can be characterized in a robust way. Along with the main result, in this work we introduce a method, based on semidefinite programming, for bounding quantum correlations in scenarios with sequential measurements of length two. This method can also be applied to refine security analysis of the semi-device-independent one-way quantum key distribution. We also present new information gain-disturbance relation for pairs of dichotomic measurements.

arXiv comment18 pages, 5 figures. Closer to the published version

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Cited by in corpus (44)

• Self-testing of quantum systems: a review
• Experimental characterisation of unsharp qubit observables and sequential measurement incompatibility via quantum random access codes
• Semidefinite programming relaxations for quantum correlations
• Noise-robust preparation contextuality shared between any number of observers via unsharp measurements
• Sequential measurement-device-independent entanglement detection by multiple observers
• Projective measurements are sufficient for recycling nonlocality
• Semi-device-independent framework based on restricted distrust in prepare-and-measure experiments
• Semi-device-independent certification of independent quantum state and measurement devices
• Leggett-Garg Macrorealism and temporal correlations
• Oblivious communication game, self-testing of projective and non-projective measurements and certification of randomness
• A weak form of self-testing
• Sharing nonlocality in quantum network by unbounded sequential observers
• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• Almost qudits in the prepare-and-measure scenario
• Device-independent self-testing of unsharp measurements
• Temporal correlations in the simplest measurement sequences
• Characterizing and quantifying the incompatibility of quantum instruments
• Ticking-clock performance enhanced by nonclassical temporal correlations
• Unbounded Sharing of Nonlocality Using Projective Measurements
• Simulating extremal temporal correlations
• Certifying sets of quantum observables with any full-rank state
• Certification of three black boxes with unsharp measurements using $3\to 1$ sequential quantum random access codes
• Prepare-and-measure scenarios with photon-number constraints
• Characterizing quantum instruments: from non-demolition measurements to quantum error correction
• Quantifying unsharpness of observables in an outcome-independent way
• Simple and general bounds on quantum random access codes
• Self-testing of multiple unsharpness parameters through sequential violations of non-contextual inequality
• Limits of network nonlocality probed by time-like separated observers
• Experimental self-testing for photonic graph states
• Sharing nonlocality in a network using the quantum violation of chain network inequality
• Semi-device-independent certification of quantum non-Markovianity using sequential Random Access Codes
• Entanglement-breaking channels are a quantum memory resource
• Minimal scheme for certifying three-outcome qubit measurements in the prepare-and-measure scenario
• Self-testing in a constrained prepare-measure scenario sans assuming quantum dimension
• Classical certification of quantum gates under the dimension assumption
• Robust certification of quantum instruments through a sequential communication game
• Experimental certification of ensembles of high-dimensional quantum states with independent quantum devices
• Device-independent certification of degeneracy-breaking measurements
• Semi-device-independent self-testing of unitary operations
• Robust device-independent characterization of sharpness and incompatibility of unsharp instruments
• Uncertainty-disturbance relations and applications
• Robust self-testing and certified randomness based on chained Bell inequality
• Sequential information theoretic protocols in continuous variable systems
• Communication scenario enables robust self-testing of n-party Greenberger-Horne-Zeilinger basis measurements