Sequential Semi-Device-Independent Quantum Randomness Certification
arXiv:2510.19445 · doi:10.1103/vb68-jlr3
Abstract
Quantum measurements under realistic conditions reveal only partial information about a system. Yet, by performing sequential measurements on the same system, additional information can be accessed. We investigate this problem in the context of semi-device-independent randomness certification using sequential maximum confidence measurements. We develop a general framework and versatile numerical methods to bound the amount of certifiable randomness in such scenarios. We further introduce a technique to compute min-tradeoff functions via semidefinite programming duality, thus making the framework suitable for bounding the certifiable randomness against adaptive attacking strategies through entropy accumulation. Our results establish sufficient criteria showing that maximum confidence measurements enable the distribution and certification of randomness across a sequential measurement chain.
References in corpus (52)
- Quantum cryptography: Public key distribution and coin tossing
- Bell nonlocality
- Advances in Quantum Cryptography
- Device-independent security of quantum cryptography against collective attacks
- Random Numbers Certified by Bell's Theorem
- No Signalling and Quantum Key Distribution
- The operational meaning of min- and max-entropy
- Fully device independent quantum key distribution
- General properties of Nonsignaling Theories
- Certified randomness in quantum physics
- Semi-device-independent security of one-way quantum key distribution
- Experimental Quantum Secret Sharing and Third-Man Quantum Cryptography
- Multiple Observers Can Share the Nonlocality of Half of an Entangled Pair by Using Optimal Weak Measurements
- Maximum Confidence Quantum Measurements
- A largely self-contained and complete security proof for quantum key distribution
- Unbounded randomness certification using sequences of measurements
- Semi-device-independent framework based on natural physical assumptions
- Semi-device independent random number expansion protocol with n to 1 quantum random access codes
- Arbitrarily many independent observers can share the nonlocality of a single maximally entangled qubit pair
- A Comprehensive Review of Quantum Random Number Generators: Concepts, Classification and the Origin of Randomness
- Structure of minimum-error quantum state discrimination
- Extracting information from a qubit by multiple observers: Toward a theory of sequential state discrimination
- Experimental characterisation of unsharp qubit observables and sequential measurement incompatibility via quantum random access codes
- Semidefinite programming relaxations for quantum correlations
- Experimental Realization of Maximum Confidence State Discrimination for the Extraction of Quantum Information
- Practical self-testing quantum random number generator based on an energy bound
- Semi-Device-Independent Heterodyne-based Quantum Random Number Generator
- Nonlocality in sequential correlation scenarios
- Experimental Test of Sequential Weak Measurements for Certified Quantum Randomness Extraction
- Device-independent lower bounds on the conditional von Neumann entropy
- Bounding sets of sequential quantum correlations and device-independent randomness certification
- Provably-secure quantum randomness expansion with uncharacterised homodyne detection
- Experimental Multi-Party Sequential State Discrimination
- One-Sided Device-Independent Certification of Unbounded Random Numbers
- Semi-device independent randomness from d-outcome continuous-variable detection
- Semi-Device-Independent Random Number Generation with Flexible Assumptions
- Experimental quantum state discrimination using the optimal fixed rate of inconclusive outcomes strategy
- Improved device-independent randomness expansion rates using two sided randomness
- How much randomness can be generated from a quantum black-box device?
- Maximum confidence measurement for qubit states
- Bounds on semi-device-independent quantum random number expansion capabilities
- Prepare-and-measure scenarios with photon-number constraints
- Quantifying the intrinsic randomness in sequential measurements
- Finite-size analysis of prepare-and-measure and decoy-state QKD via entropy accumulation
- Secure and robust randomness with sequential quantum measurements
- Certification of unbounded randomness with arbitrary noise
- Contextuality witness inspired by optimal state discrimination
- Improving semi-device-independent randomness certification by entropy accumulation
- Experimental optimal discrimination of states of a qubit with fixed rates of inconclusive outcomes
- Certified Randomness From Steering Using Sequential Measurements
- The role of entanglement in energy-restricted communication and randomness generation
- Entanglement Structure Certification Based on Energy-Restricted State Discrimination