True randomness from an incoherent source
Abstract
Quantum random number generators (QRNGs) harness the intrinsic randomness in measurement processes: the measurement outputs are truly random, given the input state is a superposition of the eigenstates of the measurement operators. In the case of trusted devices, true randomness could be generated from a mixed state ρ so long as the system entangled with ρ is well protected. We propose a random number generation scheme based on measuring the quadrature fluctuations of a single mode thermal state using an optical homodyne detector. By mixing the output of a broadband amplified spontaneous emission (ASE) source with a single mode local oscillator (LO) at a beam splitter and performing differential photo-detection, we can selectively detect the quadrature fluctuation of a single mode output of the ASE source, thanks to the filtering function of the LO. Experimentally, a quadrature variance about three orders of magnitude larger than the vacuum noise has been observed, suggesting this scheme can tolerate much higher detector noise in comparison with QRNGs based on measuring the vacuum noise. The high quality of this entropy source is evidenced by the small correlation coefficients of the acquired data. A Toeplitz-hashing extractor is applied to generate unbiased random bits from themore »
- Authors:
-
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); The Univ. of Tennessee, Knoxville, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1408040
- Alternate Identifier(s):
- OSTI ID: 1406390
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Review of Scientific Instruments
- Additional Journal Information:
- Journal Volume: 88; Journal Issue: 11; Journal ID: ISSN 0034-6748
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Qi, Bing. True randomness from an incoherent source. United States: N. p., 2017.
Web. doi:10.1063/1.4986048.
Qi, Bing. True randomness from an incoherent source. United States. https://doi.org/10.1063/1.4986048
Qi, Bing. Wed .
"True randomness from an incoherent source". United States. https://doi.org/10.1063/1.4986048. https://www.osti.gov/servlets/purl/1408040.
@article{osti_1408040,
title = {True randomness from an incoherent source},
author = {Qi, Bing},
abstractNote = {Quantum random number generators (QRNGs) harness the intrinsic randomness in measurement processes: the measurement outputs are truly random, given the input state is a superposition of the eigenstates of the measurement operators. In the case of trusted devices, true randomness could be generated from a mixed state ρ so long as the system entangled with ρ is well protected. We propose a random number generation scheme based on measuring the quadrature fluctuations of a single mode thermal state using an optical homodyne detector. By mixing the output of a broadband amplified spontaneous emission (ASE) source with a single mode local oscillator (LO) at a beam splitter and performing differential photo-detection, we can selectively detect the quadrature fluctuation of a single mode output of the ASE source, thanks to the filtering function of the LO. Experimentally, a quadrature variance about three orders of magnitude larger than the vacuum noise has been observed, suggesting this scheme can tolerate much higher detector noise in comparison with QRNGs based on measuring the vacuum noise. The high quality of this entropy source is evidenced by the small correlation coefficients of the acquired data. A Toeplitz-hashing extractor is applied to generate unbiased random bits from the Gaussian distributed raw data, achieving an efficiency of 5.12 bits per sample. Furthermore, the output of the Toeplitz extractor successfully passes all the NIST statistical tests for random numbers.},
doi = {10.1063/1.4986048},
journal = {Review of Scientific Instruments},
number = 11,
volume = 88,
place = {United States},
year = {Wed Nov 01 00:00:00 EDT 2017},
month = {Wed Nov 01 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Robust random number generation using steady-state emission of gain-switched laser diodes
journal, June 2014
- Yuan, Z. L.; Lucamarini, M.; Dynes, J. F.
- Applied Physics Letters, Vol. 104, Issue 26
Random number generator
journal, December 1956
- Isida, Masatugu; Ikeda, Hiroji
- Annals of the Institute of Statistical Mathematics, Vol. 8, Issue 2
Quantum random number generation
journal, June 2016
- Ma, Xiongfeng; Yuan, Xiao; Cao, Zhu
- npj Quantum Information, Vol. 2, Issue 1
A generator for unique quantum random numbers based on vacuum states
journal, August 2010
- Gabriel, Christian; Wittmann, Christoffer; Sych, Denis
- Nature Photonics, Vol. 4, Issue 10
Note: Fully integrated 3.2 Gbps quantum random number generator with real-time extraction
journal, July 2016
- Zhang, Xiao-Guang; Nie, You-Qi; Zhou, Hongyi
- Review of Scientific Instruments, Vol. 87, Issue 7
Photon statistics of single-mode zeros and ones from an erbium-doped fiber amplifier measured by means of homodyne tomography
journal, October 2000
- Voss, P.; Vasilyev, M.; Levandovsky, D.
- IEEE Photonics Technology Letters, Vol. 12, Issue 10
A fast and compact quantum random number generator
journal, April 2000
- Jennewein, Thomas; Achleitner, Ulrich; Weihs, Gregor
- Review of Scientific Instruments, Vol. 71, Issue 4
Quantum‐Mechanical Random‐Number Generator
journal, February 1970
- Schmidt, Helmut
- Journal of Applied Physics, Vol. 41, Issue 2
The generation of 68 Gbps quantum random number by measuring laser phase fluctuations
journal, June 2015
- Nie, You-Qi; Huang, Leilei; Liu, Yang
- Review of Scientific Instruments, Vol. 86, Issue 6
Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres
journal, October 2015
- Hensen, B.; Bernien, H.; Dréau, A. E.
- Nature, Vol. 526, Issue 7575
Real time demonstration of high bitrate quantum random number generation with coherent laser light
journal, June 2011
- Symul, T.; Assad, S. M.; Lam, P. K.
- Applied Physics Letters, Vol. 98, Issue 23
Versatile wideband balanced detector for quantum optical homodyne tomography
journal, November 2012
- Kumar, R.; Barrios, E.; MacRae, A.
- Optics Communications, Vol. 285, Issue 24
New hash functions and their use in authentication and set equality
journal, June 1981
- Wegman, Mark N.; Carter, J. Lawrence
- Journal of Computer and System Sciences, Vol. 22, Issue 3, p. 265-279
Maximization of Extractable Randomness in a Quantum Random-Number Generator
journal, May 2015
- Haw, J. Y.; Assad, S. M.; Lance, A. M.
- Physical Review Applied, Vol. 3, Issue 5
Pulse-resolved measurement of quadrature phase amplitudes of squeezed pulse trains at a repetition rate of 76 MHz
journal, January 2008
- Okubo, Ryuhi; Hirano, Mayumi; Zhang, Yun
- Optics Letters, Vol. 33, Issue 13
Letter Optical quantum random number generator
journal, March 2000
- Stefanov, Andre; Gisin, Nicolas; Guinnard, Olivier
- Journal of Modern Optics, Vol. 47, Issue 4
A balanced homodyne detector for high-rate Gaussian-modulated coherent-state quantum key distribution
journal, January 2011
- Chi, Yue-Meng; Qi, Bing; Zhu, Wen
- New Journal of Physics, Vol. 13, Issue 1
Random Number Generator
book, January 2014
- Quirk, Thomas J.; Cummings, Simone
- Excel 2010 for Health Services Management Statistics
Random Number Generator
book, January 2017
- Quirk, Thomas J.; Cummings, Simone
- Excel 2016 for Social Work Statistics
Truly Random Number Generation Based on Measurement of Phase Noise of Laser
text, January 2009
- Guo, Hong; Tang, Wenzhuo; Liu, Yu
- arXiv
Scalable parallel physical random number generator based on a superluminescent LED
text, January 2011
- Li, Xiaowen; Cohen, Adam B.; Murphy, Thomas E.
- arXiv
Real time demonstration of high bitrate quantum random number generation with coherent laser light
text, January 2011
- Symul, T.; Assad, S. M.; Lam, P. K.
- arXiv
Ultrafast quantum random number generation based on quantum phase fluctuations
text, January 2011
- Xu, Feihu; Qi, Bing; Ma, Xiongfeng
- arXiv
Versatile Wideband Balanced Detector for Quantum Optical Homodyne Tomography
text, January 2011
- Kumar, Ranjeet; Barrios, Erick; MacRae, Andrew
- arXiv
Postprocessing for quantum random number generators: entropy evaluation and randomness extraction
text, January 2012
- Ma, Xiongfeng; Xu, Feihu; Xu, He
- arXiv
Ultra-fast quantum randomness generation by accelerated phase diffusion in a pulsed laser diode
text, January 2014
- Abellan, C.; Amaya, W.; Jofre, M.
- arXiv
Maximization of Extractable Randomness in a Quantum Random-Number Generator
text, January 2014
- Haw, J. Y.; Assad, S. M.; Lance, A. M.
- arXiv
Intrinsic randomness as a measure of quantum coherence
text, January 2015
- Yuan, Xiao; Zhou, Hongyi; Cao, Zhu
- arXiv
Source-independent quantum random number generation
text, January 2015
- Cao, Zhu; Zhou, Hongyi; Yuan, Xiao
- arXiv
Quantum Random Number Generators
text, January 2016
- Herrero-Collantes, Miguel; Garcia-Escartin, Juan Carlos
- arXiv
Secure self-calibrating quantum random bit generator
text, January 2006
- Fiorentino, M.; Santori, C. M.; Spillane, S. M.
- arXiv
A fast and compact quantum random number generator
journal, April 2000
- Jennewein, Thomas; Achleitner, Ulrich; Weihs, Gregor
- Review of Scientific Instruments, Vol. 71, Issue 4
Works referencing / citing this record:
6 Gbps real-time optical quantum random number generator based on vacuum fluctuation
journal, April 2019
- Zheng, Ziyong; Zhang, Yichen; Huang, Weinan
- Review of Scientific Instruments, Vol. 90, Issue 4
The m -least significant bits operation for quantum random number generation
journal, September 2019
- Chen, Ziyang; Li, Zhengyu; Xu, Bingjie
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 52, Issue 19
Eavesdropping attack on a trusted continuous-variable quantum random-number generator
journal, November 2019
- Thewes, Johannes; Lüders, Carolin; Aßmann, Marc
- Physical Review A, Vol. 100, Issue 5
Generating randomness: making the most out of disordering a false order into a real one
journal, February 2019
- Ilan, Yaron
- Journal of Translational Medicine, Vol. 17, Issue 1
6 Gbps real-time optical quantum random number generator based on vacuum fluctuation
text, January 2018
- Zheng, Ziyong; Zhang, Yi-Chen; Huang, Weinan
- arXiv
Generating randomness: making the most out of disordering a false order into a real one
journal, February 2019
- Ilan, Yaron
- Journal of Translational Medicine, Vol. 17, Issue 1