Beamsplitter-free, high bit-rate, quantum random number generator based on temporal and spatial correlations of heralded single-photons

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Main Authors: Nai, Ayan Kumar, Sharma, Amritash, Kumar, Vimlesh, Singh, Sandeep, Mishra, Shreya, Chandrashekar, C. M., Samanta, G. K.
Format: Preprint
Published: 2024
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author Nai, Ayan Kumar
Sharma, Amritash
Kumar, Vimlesh
Singh, Sandeep
Mishra, Shreya
Chandrashekar, C. M.
Samanta, G. K.
author_facet Nai, Ayan Kumar
Sharma, Amritash
Kumar, Vimlesh
Singh, Sandeep
Mishra, Shreya
Chandrashekar, C. M.
Samanta, G. K.
contents The spontaneous parametric down-conversion (SPDC), an inherently random quantum process, produces a non-deterministic photon-pair with strong temporal and spatial correlations owing to both energy and momentum conservation. Therefore, the SPDC-based photon pairs are used for quantum random number generation (QRNG). Typically, temporal correlation in association with an ideal unbiased beam splitter is used for QRNG without fully exploring the spatial correction. As a result, SPDC-based QRNG has a low bit rate. On the other hand, due to the spatial correlation, the photon pairs in non-collinear phase-matched geometry are generated randomly in diametrically opposite points over an annular ring spatial distribution. Therefore, exploring the temporal correlation between photon pairs from different sections of the annual ring can lead to multi-bit QRNG at a high rate, avoiding the need for a beam splitter. As a proof-of-concept, we report on high-bit-rate QRNG by using spatial correlation of photon-pairs by sectioning the SPDC ring of a non-collinear, degenerate, high-brightness source and temporal correlation between the diametrically opposite sections. Dividing the annular ring of the high-brightness photon-pair source based on a 20 mm long, type-0 phase-matched, periodically-poled KTP crystal into four sections, recording the timestamp of the coincidences (widow of 1 ns) between photons from diametrically opposite sections and assigning bits (0 and 1), we extracted 90 million raw bits over 27.7 s at a pump power of 17 mW. We determined the extraction ratio using the minimum entropy evaluation of more than 95% in our case. Using Toeplitz matrix-based post-processing, we achieved a QRNG with a bit-rate of 3 Mbps, passing all NIST 800-22 and TestU01 test suites. The generic scheme shows the possibility of further enhancement of the bit rate through more sectioning of the SPDC ring.
format Preprint
id arxiv_https___arxiv_org_abs_2410_00440
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Beamsplitter-free, high bit-rate, quantum random number generator based on temporal and spatial correlations of heralded single-photons
Nai, Ayan Kumar
Sharma, Amritash
Kumar, Vimlesh
Singh, Sandeep
Mishra, Shreya
Chandrashekar, C. M.
Samanta, G. K.
Quantum Physics
Optics
The spontaneous parametric down-conversion (SPDC), an inherently random quantum process, produces a non-deterministic photon-pair with strong temporal and spatial correlations owing to both energy and momentum conservation. Therefore, the SPDC-based photon pairs are used for quantum random number generation (QRNG). Typically, temporal correlation in association with an ideal unbiased beam splitter is used for QRNG without fully exploring the spatial correction. As a result, SPDC-based QRNG has a low bit rate. On the other hand, due to the spatial correlation, the photon pairs in non-collinear phase-matched geometry are generated randomly in diametrically opposite points over an annular ring spatial distribution. Therefore, exploring the temporal correlation between photon pairs from different sections of the annual ring can lead to multi-bit QRNG at a high rate, avoiding the need for a beam splitter. As a proof-of-concept, we report on high-bit-rate QRNG by using spatial correlation of photon-pairs by sectioning the SPDC ring of a non-collinear, degenerate, high-brightness source and temporal correlation between the diametrically opposite sections. Dividing the annular ring of the high-brightness photon-pair source based on a 20 mm long, type-0 phase-matched, periodically-poled KTP crystal into four sections, recording the timestamp of the coincidences (widow of 1 ns) between photons from diametrically opposite sections and assigning bits (0 and 1), we extracted 90 million raw bits over 27.7 s at a pump power of 17 mW. We determined the extraction ratio using the minimum entropy evaluation of more than 95% in our case. Using Toeplitz matrix-based post-processing, we achieved a QRNG with a bit-rate of 3 Mbps, passing all NIST 800-22 and TestU01 test suites. The generic scheme shows the possibility of further enhancement of the bit rate through more sectioning of the SPDC ring.
title Beamsplitter-free, high bit-rate, quantum random number generator based on temporal and spatial correlations of heralded single-photons
topic Quantum Physics
Optics
url https://arxiv.org/abs/2410.00440