Sequential random access codes and self-testing of quantum measurement instruments

Abstract

Quantum Random Access Codes (QRACs) are key tools for a variety of protocols in quantum information theory. These are commonly studied in prepare-and-measure scenarios in which a sender prepares states and a receiver measures them. Here, we consider a three-party prepare-transform-measure scenario in which the simplest QRAC is implemented twice in sequence based on the same physical system. We derive optimal trade-off relations between the two QRACs. We apply our results to construct semi-device independent self-tests of quantum instruments, i.e. measurement channels with both a classical and quantum output. Finally, we show how sequential QRACs enable inference of upper and lower bounds on the sharpness parameter of a quantum instrument.

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Cited by in corpus (57)

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• Semidefinite programming relaxations for quantum correlations
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• Experimental Certification of Sustained Entanglement and Nonlocality after Sequential Measurements
• Limitations on sharing Bell nonlocality between sequential pairs of observers
• Detection of genuine tripartite entanglement by multiple sequential observers
• Experimental Demonstration of Sequential Quantum Random Access Codes
• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
• Experimental Test of Sequential Weak Measurements for Certified Quantum Randomness Extraction
• Einstein-Podolsky-Rosen Steering in Two-sided Sequential Measurements with One Entangled Pair
• Noise-robust preparation contextuality shared between any number of observers via unsharp measurements
• Recycling qubits for the generation of Bell nonlocality between independent sequential observers
• 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
• Non-locality sharing for a three-qubit system via multilateral sequential measurements
• Oblivious communication game, self-testing of projective and non-projective measurements and certification of randomness
• A weak form of self-testing
• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• Sharing nonlocality in quantum network by unbounded sequential observers
• Almost qudits in the prepare-and-measure scenario
• Device-independent self-testing of unsharp measurements
• Widening the sharpness modulation region of an entanglement-assisted sequential quantum random access code: Theory, experiment, and application
• Sharing Quantum Nonlocality in Star Network Scenarios
• Semi-device-independent characterization of quantum measurements under a minimum overlap assumption
• Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits
• Characterizing and quantifying the incompatibility of quantum instruments
• Creating quantum correlations in generalized entanglement swapping
• Sharing preparation contextuality in Bell experiment by arbitrary pair of sequential observers
• Unbounded Sharing of Nonlocality Using Projective Measurements
• Prepare-and-measure scenarios with photon-number constraints
• Certification of three black boxes with unsharp measurements using $3\to 1$ sequential quantum random access codes
• Quantum Random Access Code in Noisy Channels
• Characterizing quantum instruments: from non-demolition measurements to quantum error correction
• Self-testing of multiple unsharpness parameters through sequential violations of non-contextual inequality
• Simple and general bounds on quantum random access codes
• Robustness of Higher Dimensional Nonlocality against dual noise and sequential measurements
• 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
• Simulating quantum instruments with projective measurements and quantum post-processing
• Self-testing in a constrained prepare-measure scenario sans assuming quantum dimension
• Classical certification of quantum gates under the dimension assumption
• Role of nonclassical temporal correlation in powering quantum random access codes
• Certifying Temporal Correlations
• Robust certification of quantum instruments through a sequential communication game
• Security of Device-independent Quantum Key Distribution under Sequential Attack
• Translating Bell Non-Locality to Prepare-and-Measure Scenarios under Dimensional Constraints
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• Semi-device-independent self-testing of unitary operations
• Device-independent certification of degeneracy-breaking measurements
• Robust device-independent characterization of sharpness and incompatibility of unsharp instruments
• Robust self-testing and certified randomness based on chained Bell inequality
• Barycentric decomposition for quantum instruments
• Quantum Random Access Codes Implementation for Resource Allocation and Coexistence with Classical Telecommunication
• Sequential information theoretic protocols in continuous variable systems