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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Device-Independent Certification of Maximal Randomness from Pure Entangled Two-Qutrit States Using Non-Projective
Jakub J Borkała1, Chellasamy Jebarathinam1, Shubhayan Sarkar1
1Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warsaw, Poland.
Entropy (Basel, Switzerland)
|March 25, 2022
Summary
Researchers developed a new method to certify randomness from quantum entanglement. This technique maximizes random bit generation using two-qutrit entangled states and specific measurements.
Area of Science:
- Quantum Information Science
- Quantum Cryptography
- Quantum Foundations
Background:
- Device-independent randomness certification has been achieved for two-qubit entangled states.
- Optimal randomness certification from higher-dimensional entangled states remains an open challenge.
Purpose of the Study:
- To introduce a method for device-independent randomness certification from pure bipartite entangled two-qutrit states.
- To achieve the maximal possible amount of random bits (2log23) using these states and specific measurements.
Main Methods:
- Utilizing pure bipartite entangled two-qutrit states.
- Employing extremal nine-outcome general non-projective measurements.
- Leveraging device-independent certification of the Weyl-Heisenberg basis in three-dimensional Hilbert spaces.
- Incorporating a one-sided device-independent method for certifying two-qutrit partially entangled states.
Main Results:
- A method for device-independent certification of maximal randomness from two-qutrit entangled states is presented.
- The maximal possible amount of 2log23 random bits can be certified.
Conclusions:
- The study extends device-independent randomness certification to higher-dimensional quantum systems.
- This work provides a pathway for enhanced secure random number generation using multi-dimensional entanglement.
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