Certification of unbounded randomness with arbitrary noise
arXiv:2307.01333 · doi:10.1103/PhysRevA.111.L010201
Abstract
Random number generators play an essential role in cryptography and key distribution. It is thus important to verify whether the random numbers generated from these devices are genuine and unpredictable by any adversary. Recently, quantum nonlocality has been identified as a resource that can be utilised to certify randomness. Although these schemes are device-independent and thus highly secure, the observation of quantum nonlocality is extremely difficult from a practical perspective. In this work, we provide a scheme to certify unbounded randomness in a semi-device-independent way based on the maximal violation of Leggett-Garg inequalities. Interestingly, the scheme is independent of the choice of the quantum state, and consequently even classical noise like a thermal state or even microwave background radiation could be utilized to self-test quantum measurements and generate unbounded randomness making the scheme highly efficient for practical purposes.
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References in corpus (38)
- Significant-loophole-free test of Bell's theorem with entangled photons
- Random Numbers Certified by Bell's Theorem
- A strong loophole-free test of local realism
- Leggett-Garg Inequalities
- Randomness vs Non Locality and Entanglement
- Certified randomness in quantum physics
- A self-testing quantum random number generator
- Experimental Violation of Two-Party Leggett-Garg Inequalities with Semi-weak Measurements
- Partial-measurement back-action and non-classical weak values in a superconducting circuit
- Source-device-independent Ultra-fast Quantum Random Number Generation
- Quantum randomness extraction for various levels of characterization of the devices
- Source-independent quantum random number generation
- Secure heterodyne-based quantum random number generator at 17 Gbps
- Device-independent randomness expansion against quantum side information
- Unbounded randomness certification using sequences of measurements
- Optimal randomness certification from one entangled bit
- High speed self-testing quantum random number generation without detection loophole
- MHz-rate semi-device-independent quantum random number generators based on unambiguous state discrimination
- Quantum correlations in the temporal CHSH scenario
- Device-independent Randomness Expansion with Entangled Photons
- Maximal randomness expansion from steering inequality violations using qudits
- Violation of Leggett-Garg inequalities in quantum measurements with variable resolution and back-action
- Self-testing protocols based on the chained Bell inequalities
- Experimental detection of quantum coherent evolution through the violation of Leggett-Garg-type inequalities
- Experimental measurement-device-independent quantum random number generation
- Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments
- Experimental Low-Latency Device-Independent Quantum Randomness
- Maximal randomness from partially entangled states
- One-Sided Device-Independent Certification of Unbounded Random Numbers
- Self-testing of any pure entangled state with minimal number of measurements and optimal randomness certification in one-sided device-independent scenario
- Loophole free interferometric test of macrorealism using heralded single photons
- Semi-Device-Independent Random Number Generation with Flexible Assumptions
- Self-testing of binary Pauli measurements requiring neither entanglement nor any dimensional restriction
- Device-independent certification of maximal randomness from pure entangled two-qutrit states using non-projective measurements
- Robust certification of arbitrary outcome quantum measurements from temporal correlations
- Measurement-device-independent quantum random number generation over 23 Mbps with imperfect single-photon sources
- Network quantum steering enables randomness certification without seed randomness
- Numerical Framework for Semi-Device-Independent Quantum Random Number Generators