From e0f0013991635061e7f340d6d8bd6625e3fc9501 Mon Sep 17 00:00:00 2001 From: cforeman-cqc <64781662+cforeman-cqc@users.noreply.github.com> Date: Mon, 15 Jan 2024 16:19:41 +0000 Subject: [PATCH] Improve docs (#7) * add figures and update docs * update code annotation --- cryptomite/circulant.py | 2 +- cryptomite/dodis.py | 2 +- cryptomite/toeplitz.py | 2 +- cryptomite/trevisan.py | 109 +++----------------------- docs/bibliography.rst | 2 + docs/figures/Table.png | Bin 0 -> 195268 bytes docs/figures/extractor_flow_chart.png | Bin 0 -> 95900 bytes docs/gettingstarted.rst | 66 +++------------- docs/index.rst | 11 ++- docs/intro.rst | 2 +- docs/notebooks.rst | 2 +- docs/performance.rst | 7 +- 12 files changed, 37 insertions(+), 168 deletions(-) create mode 100644 docs/figures/Table.png create mode 100644 docs/figures/extractor_flow_chart.png diff --git a/cryptomite/circulant.py b/cryptomite/circulant.py index ff1cb7a..204e1d0 100644 --- a/cryptomite/circulant.py +++ b/cryptomite/circulant.py @@ -22,7 +22,7 @@ def __init__(self, n: int, m: int): ---------- n : int The length of the input bits. - *** n + 1 should be prime. *** + ** n + 1 should be prime. ** m : int The length of the output bits. """ diff --git a/cryptomite/dodis.py b/cryptomite/dodis.py index 454b5a6..d26a0b6 100644 --- a/cryptomite/dodis.py +++ b/cryptomite/dodis.py @@ -21,7 +21,7 @@ def __init__(self, n: int, m: int): ---------- n : int The length of the two input bits. - *** This should be prime with primitive root 2. *** + ** This should be prime with primitive root 2. ** m : int The length of the output bits. """ diff --git a/cryptomite/toeplitz.py b/cryptomite/toeplitz.py index 49fb329..9ce4e9b 100644 --- a/cryptomite/toeplitz.py +++ b/cryptomite/toeplitz.py @@ -78,7 +78,7 @@ def from_params( min_entropy2 : float The min-entropy of input source 2, the '(weak) seed'. log2_error : float - The acceptable maximum extractor error, in the + The maximum acceptable extractor error, in the form error = b where extractor error = :math:`2 ^ b`. input_length1 : int The initial length of input source. diff --git a/cryptomite/trevisan.py b/cryptomite/trevisan.py index 91e2a9b..999af79 100644 --- a/cryptomite/trevisan.py +++ b/cryptomite/trevisan.py @@ -1,41 +1,34 @@ """ -This is a module. +Trevisan is a seeded extractor that takes two differing length, +independent, strings of bits to produce some error-perfect random bits. """ from __future__ import annotations __all__ = ['Trevisan'] -from math import ceil, exp, floor, log, log2 - from cryptomite import _cryptomite class Trevisan: """Trevisan extractor based on [Trev2001]_ and [Mauer2012]_. """ - def __init__(self, n: int, k: float, max_eps: float): + def __init__(self, n: int, k: float, error: float): """Create a Trevisan Extractor. - The extractor accepts `n` input bits of min-entropy `k` and `d` - seed bits and outputs `m` bits with total worst case error of - `max_eps`. The parameters for the weak designs and 1-bit - extractors are computed from `n`, `k`, and `max_eps`. To use - the Trevisan extractor, provide `n`, `k` and `max_eps`. - Parameters ---------- - n : int - The number of input bits. - k : float - The amount of min-entropy in the input bits. - max_eps : float - The total worst case error. + n : int + The length of the input bits. + k : float + The total min-entropy of the input bits. + error : float + The maximum acceptable extractor error. """ - self.config = _cryptomite.TrevisanConfig(n, k, max_eps) + self.config = _cryptomite.TrevisanConfig(n, k, error) self.ext = _cryptomite.Trevisan(self.config) def extract(self, input1: list[bool], input2: list[bool]) -> list[bool]: """ - Load the source and the seed. + Extract randomness. Parameters ---------- @@ -57,83 +50,3 @@ def extract(self, input1: list[bool], input2: list[bool]) -> list[bool]: bit = self.ext.extract_bit(i) bits.append(bit) return bits - - @staticmethod - def from_params( - min_entropy1: float, - min_entropy2: float, - log2_error: float, - input_length1: int, - input_length2: int, - markov_q_proof: bool, - verbose: bool = True) -> Trevisan: - """ - Calculate a valid input and output size for this extractor, - given the initial lengths and min-entropies of the input sources - and generate the associated extractor. - - *** Note: at present, this function (for Trevisan) only supports - when input_length2 = min_entropy2, i.e. when the seed is - uniform. *** - The min entropy inputs are a lower bound on the - :term:`min-entropy` of the related input string. - - Parameters - ---------- - min_entropy1 : float - The min-entropy of input source 1, the 'input'. - min_entropy2 : float - The min-entropy of input source 2, the '(weak) seed'. - log_error : float - The acceptable maximum extractor error, in the - form error = b where extractor error = :math:`2 ^ b`. - input_length1 : int - The initial length of input source. - input_length2 : int - The initial length of the (weak) seed. - markov_q_proof : bool - Boolean indicator of whether the extractor parameters - should be calculated to account for being quantum-proof - in the Markov model or not. - - Returns - ------- - Trevisan - The Trevisan extractor. - """ - if log2_error > 0: - raise Exception("""Cannot extract with these parameters. - log2_error must be < 0.""") - if min_entropy2 != input_length2: - raise Exception("""Cannot calcuate with these parameters. - Set min_entropy2 = input_length2.""") - r = 2 * exp(1) - m = min_entropy1 + 4 * log2_error - 6 - output_length = floor(min_entropy1 + 4 * log2_error - - 4 * log2(m) - 6) - t = 2 * ceil(log2(input_length1) + 1 - - 2 * log2_error + 2 * log2(2 * output_length)) - a = max(1, ceil((log(output_length - r) - log(t - r)) - / (log(r) - log(r-1)))) - if markov_q_proof: - m = (1/7) * (min_entropy1 + 6 - 6 * log2(3) - + 12 * log2_error) - output_length = floor((1/7) * (min_entropy1 + 6 - 6 * log2(3) - + 12 * log2_error - 12 * log2(m))) - t = 2 * ceil(log2(input_length1) + 1 - - 2 * log2_error + 2 * log2(2 * output_length)) - a = max(1, ceil((log(output_length - r) - log(t - r)) - / (log(r) - log(r-1)))) - if input_length2 < 4 * a * t**2: - raise Exception("""Cannot extract with these parameters. - Increase input_length2.""") - input_length2 = 4 * a * t**2 - if verbose: - print('Min entropy1: ', min_entropy1, - 'Min entropy2: ', min_entropy2, - 'Log error: ', log2_error, - 'Input length1: ', input_length1, - 'Input length2: ', input_length2, - 'Output length: ', output_length) - print('Adjust length of the input and seed accordingly') - return Trevisan(n=input_length1, m=output_length) diff --git a/docs/bibliography.rst b/docs/bibliography.rst index 7edd9a9..4f8a8d8 100644 --- a/docs/bibliography.rst +++ b/docs/bibliography.rst @@ -16,3 +16,5 @@ Bibliography .. [Mauer2012] W. Mauerer, C. Portmann, and V. B. Scholz, `A modular framework for randomness extraction based on Trevisan’s construction `_, Pre-print (2012) .. [Dodis2004] Y. Dodis, A. Elbaz, R. Oliveira, and R. Raz, `Improved randomness extraction from two independent sources `_ in Proceedings RANDOM, vol. 3122, pp. 334–344 (2004) + +.. [For2024] C. Foreman, R. Yeung, A. 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If you wish to use it for commercial use, contact qcrypto@quantinuum.com diff --git a/docs/intro.rst b/docs/intro.rst index 8708220..73ca86a 100644 --- a/docs/intro.rst +++ b/docs/intro.rst @@ -15,6 +15,6 @@ Recent years have seen major advances in theoretical and experimental quantum cr demonstrations and even commercialized products. All of these require a suitable randomness extractor with the appropriate implementation complexity, loss/error and security. -To facilitate these advances, we have developed :code:`cryptomite`, a software library with multiple randomness extractor implementations. +To facilitate these advances, we have developed :code:`Cryptomite`, a software library with multiple randomness extractor implementations. This software library offers state-of-the-art randomness extractors that are easy to use, optimized and numerically precise providing a trade-off of features that suits numerous practical use cases today. \ No newline at end of file diff --git a/docs/notebooks.rst b/docs/notebooks.rst index 2b412e8..7128931 100644 --- a/docs/notebooks.rst +++ b/docs/notebooks.rst @@ -3,7 +3,7 @@ Examples ======== -Here we give examples using ``cryptomite`` for the randomness extraction step in recent experimental quantum cryptography demonstrations, specifically, the tasks of +Here we give examples using ``Cryptomite`` for the randomness extraction step in recent experimental quantum cryptography demonstrations, specifically, the tasks of quantum key distribution and quantum random number generation. We also highlight some extensions in these examples, whereby the results of these previous works could be improved by some combination of (i) relaxing assumptions and (ii) speeding-up implementation. diff --git a/docs/performance.rst b/docs/performance.rst index dd3e5ad..e655404 100644 --- a/docs/performance.rst +++ b/docs/performance.rst @@ -1,8 +1,9 @@ Performance ========== -To demonstrate the capabilities of :py:mod:`cryptomite`, we perform some benchmarking on a MacBook Pro personal laptop (with 2 GHz quad-core Intel i5 processor with 16GB RAM). -The varying degrees of computational efficiency for the extractors of :py:mod:`cryptomite` are evidenced in the following Figure. +To demonstrate the capabilities of :py:mod:`Cryptomite`, we perform some bench-marking on a MacBook Pro personal laptop (with 2 GHz quad-core Intel i5 processor with 16GB RAM). +The speed (throughput) for the standard versions of :py:mod:`Cryptomite` extractors are evidenced in the following figure. +This testing is performed assuming that the min-entropy of the weak input is :math:`k_1 = n_1 / 2`. .. image:: figures/performance.png :width: 600 @@ -10,6 +11,6 @@ The varying degrees of computational efficiency for the extractors of :py:mod:`c Some observations performance observations are: * The :py:func:`.von_neumann` extractor is able to output at speeds above 7Mbit/s. -* The :py:class:`.Circulant`, :py:class:`.Dodis` and :py:class:`.Toeplitz` extractors are able to output at speeds of up to 1Mbit/s. The generation speed is faster for shorter input lengths. +* The :py:class:`.Circulant`, :py:class:`.Dodis` and :py:class:`.Toeplitz` extractors are able to output at speeds of up to 0.5Mbit/s. The generation speed is faster for shorter input lengths. * The :py:class:`.Trevisan` extractor can generate output at speeds comparable to the :py:class:`.Toeplitz` and :py:class:`.Dodis` extractors only when the input size is extremely short. * The :py:class:`.Trevisan` extractor unable to generate a non-vanishing bits/second rate for input lengths greater than approximately 30,000.