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1. Verfasser: Thompson, Eric
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Veröffentlicht: Zenodo 2026
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Online-Zugang:https://doi.org/10.5281/zenodo.20076446
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author Thompson, Eric
author_facet Thompson, Eric
contents <p>Quantum random number generators provide physical randomness by converting intrinsically probabilistic measurement outcomes into usable digital values. This white paper presents a simple five-bit protocol for generating uniformly distributed decimal digits from an ideal 50/50 quantum source. Five independent binary outcomes produce 2⁵ = 32 possible sequences. By rejecting the two extreme runs, 00000 and 11111, exactly 30 admissible sequences remain, allowing a direct uniform mapping onto the ten decimal digits.<br><br>The main contribution of this note is not entropy-optimal extraction, but transparency: the protocol is easy to inspect, easy to implement, and easy to explain to nontechnical users. This makes it especially relevant for trust-critical public-facing applications where visible fairness may matter more than maximum entropy efficiency. A small efficiency improvement is also introduced. Instead of discarding a rejected extreme run entirely, the rejected all-A or all-B sequence is recycled as a single fair starting bit for the next five-bit candidate block. Under the assumption of independent fair input bits, this carry-forward rule preserves exact decimal uniformity while improving the expected raw-bit cost from 16/3 ≈ 5.333 bits per digit to 79/15 ≈ 5.267 bits per digit.<br><br>The paper also discusses practical implementation using a beam-splitter-style quantum randomness source, limitations under detector imbalance, and the proper cryptographic positioning of the method. The protocol can serve as a transparent entropy source or educational QRNG digitization scheme, but cryptographic deployment would still require standard health testing, calibration, and extraction.</p>
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spellingShingle A Simple Five-Bit Quantum Random Digit Generator
Thompson, Eric
Quantum Random Number Generation
QRNG
Quantum Cryptography
Rejection Sampling
Modulo Bias
Randomness Recycling
<p>Quantum random number generators provide physical randomness by converting intrinsically probabilistic measurement outcomes into usable digital values. This white paper presents a simple five-bit protocol for generating uniformly distributed decimal digits from an ideal 50/50 quantum source. Five independent binary outcomes produce 2⁵ = 32 possible sequences. By rejecting the two extreme runs, 00000 and 11111, exactly 30 admissible sequences remain, allowing a direct uniform mapping onto the ten decimal digits.<br><br>The main contribution of this note is not entropy-optimal extraction, but transparency: the protocol is easy to inspect, easy to implement, and easy to explain to nontechnical users. This makes it especially relevant for trust-critical public-facing applications where visible fairness may matter more than maximum entropy efficiency. A small efficiency improvement is also introduced. Instead of discarding a rejected extreme run entirely, the rejected all-A or all-B sequence is recycled as a single fair starting bit for the next five-bit candidate block. Under the assumption of independent fair input bits, this carry-forward rule preserves exact decimal uniformity while improving the expected raw-bit cost from 16/3 ≈ 5.333 bits per digit to 79/15 ≈ 5.267 bits per digit.<br><br>The paper also discusses practical implementation using a beam-splitter-style quantum randomness source, limitations under detector imbalance, and the proper cryptographic positioning of the method. The protocol can serve as a transparent entropy source or educational QRNG digitization scheme, but cryptographic deployment would still require standard health testing, calibration, and extraction.</p>
title A Simple Five-Bit Quantum Random Digit Generator
topic Quantum Random Number Generation
QRNG
Quantum Cryptography
Rejection Sampling
Modulo Bias
Randomness Recycling
url https://doi.org/10.5281/zenodo.20076446