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A bias-free quantum random number generation using photon arrival time selectively (1412.0171v2)

Published 30 Nov 2014 in quant-ph and cs.CR

Abstract: We present a high-quality, bias-free quantum random number generator (QRNG) using photon arrival time selectively in accordance with the number of photon detection events within a sampling time interval in attenuated light. It is well showed in both theoretical analysis and experiments verification that this random number production method eliminates both bias and correlation perfectly without more post processing and the random number can clearly pass the standard randomness tests. We fulfill theoretical analysis and experimental verification of the method whose rate can reach up to 45Mbps.

Citations (304)

Summary

  • The paper introduces a bias-free quantum random number generation (QRNG) scheme that uses selective photon arrival times to eliminate the need for post-processing typically used to correct bias.
  • The proposed scheme uses an LED, PMT, TDC, and FPGA to capture and select single-event arrival times, achieving a generation rate of 45 Mbps and a min-entropy of 0.999996.
  • This bias-free method contributes to more reliable and efficient QRNG for applications like quantum cryptography and simulations, with potential for significantly higher bitrates in the future.

A Bias-Free Quantum Random Number Generation Using Photon Arrival Time Selectively

The generation of high-quality random numbers is an integral aspect of various computational domains, including modern cryptography and simulations. While pseudo-random number generators fulfill many requirements, the quest for physical true random numbers has intensified, particularly in the areas of quantum cryptography and quantum identity authentication. This paper introduces a bias-free quantum random number generation (QRNG) scheme that leverages photon arrival times, thereby eliminating reliance on post-processing typically used to address bias and correlations in such generators.

Technical Overview

The proposed QRNG exploits the inherent randomness in photon arrival times, produced by a controlled light-emitting diode (LED) setup at the single-photon level, and detected using a high-sensitivity photomultiplier tube (PMT). By using a time-digital converter (TDC) and a field-programmable gate array (FPGA), the system captures the arrival time data and selectively utilizes only periods with a single detection event. This approach circumvents the need for post-processing, ensuring that the resultant random numbers inherently pass standard randomness tests.

In detail, the scheme is designed to operate effectively under conditions approximating a Poissonian distribution of photon detection events. It utilizes the time bins subsequent to photon's arrival and generates random numbers by outputting the time bin indices of single-event periods. The bias-free nature is mathematically derived and experimentally validated, ensuring a statistical uniformity that can withstand randomness tests comprehensively.

Experimental Validation

The system was tested to attain an impressive rate of 45 Mbps of random number generation, positioning it at the forefront of QRNG performance metrics. The experimental setup achieved a min-entropy of 0.999996, supporting the claim of high-quality randomness. The experimental design was further validated by the excellent correlation between empirical data and theoretical predictions, as depicted in their graphical analysis.

Implications and Speculative Future Directions

This research is pivotal in pushing the boundaries of QRNG technologies, making contributions directly applicable to fields requiring robust security measures such as quantum cryptography. The bias-free approach reinforces the reliability of the generated numbers without requiring computationally expensive post-processing, thus enhancing efficiency.

Future developments could explore enhancements in detection technologies, such as improvements in PMT sensitivity and TDC precision. There's a potential to achieve significantly higher bitrates, as hypothesized to reach approximately 320 Mbps, given advancements in device capabilities.

This work sets a solid foundation for further explorations into optimizing QRNG systems for broader adoption and applications requiring stringent randomness assurance, particularly in secure communications and advanced computational simulations. As the field progresses, the integration of high-speed, bias-free QRNG mechanisms could become standard practice, elevating the overall security and reliability of quantum-enhanced systems.