Feb 28, 2017 1) Entanglement From Birth: The vast majority of quantum entanglement experiments to date use photons as the entangled particles, for the simple reason that it's really easy to entangle two photons. And most of the ways people have to entangle photons just give you an entangled state right from the get-go. Apr 11, 2018 Quantum mechanics, on the other hand, offers truly random outcomes. For instance, a light particle, or photon, can either be pointing up or pointing down. Before it's measured, the particle is in. Welcome to the ANU Quantum Random Numbers Server. This website offers true random numbers to anyone on the internet. The random numbers are generated in real-time in our lab by measuring the quantum fluctuations of the vacuum. The vacuum is described very differently in the quantum mechanical context than in the classical context. May 22, 2019 Apart from its technological value, this quantum random number generator would have intrigued Einstein. He would probably be pleased that relativity theory contributed to the result; but the process also says something about quantum theory, whose random nature Einstein rejected when he said that God does not play dice with the universe.
Quantum RAndom Keys via ENtanglement. QRAKEN is a certified quantum random number generator for the Qiskit framework. It runs a series of Bell-experiments on the IBM quantum computers, from which a string of random numbers is extracted if the CHSH inequality is violated. The scheme does not assume i.i.d. conditions between runs or fair sampling, so memory effects of the hardware can be tolerated. From the CHSH correlator we calculate the amount of entropy present in the bitstring, which is then extracted. The resulting random numbers produced are certified to be truly random, in the sense that the numbers were created in the moment of measurement and have no seed.
Bell’s theorem gives us bounds on the maximal amount of correlations between two distant parties if the outcomes of their experiments could in some way be predicted deterministically. However, if their experiments are entangled with each other, quantum mechanics allows them to violate this maximal bound. The conclusion must be that the measurement outcomes can not be predicted deterministically, i.e. they must be random. As a consequence, we can use the violation of a Bell-inequality as a certification scheme for randomness. A maximal violation of the CHSH-inequality (a type of Bell-inequality) guarantees that every single outcome is impossible to predict. A smaller violation leaves room to predict some fraction of the outcomes. This fraction is best described by the entropy H_min. We calculate this entropy based on [1], which does not assume i.i.d. conditions or fair sampling. With the entropy of the generated bit string, it is possible to calculate the number of purely random bits present in the string. These numbers can then be extracted with the aid of a randomness extractor, such as Trevisan’s extractor [2]. We use the implementation by the authors of [1], available on GitHub.
We recommend installing Anaconda, which provides you with most of the packages. Additionally you only need Qiskit and the extractor algorithm.
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To generate random numbers with QRAKEN, you first need to open QRAKEN_RunQiskit.ipynb.
After this, evaluate all the cells in the notebook.
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When your programme has executed, you will find the output in a folder with the name of the dataset. In there is a file called something like 'Measurements_Pair_x_Sy_yy.txt'. In Pair_x, x indicates from which qubit pair the random numbers were generated. The number after S indicate the measured Bell inequality.This is the file you will use as input for the extractor. Before we do that, we also need to calculate the amount of entropy available in the string. This is done using the script Parameters_extractors.py.Here you set your parameters as you like, the explanations for each of them can be found in the supplemental material of [1]. The main parameters in our interest are the following:
Once you have evaluated the code, you will be presented by the numbers 2*n, m, and rate. These will be used as input to the Trevisan extractor. Now make sure your output-file from the notebook and the seed random number ‘rnd_short_subset1.txt’ are in the libtrevisan folder and run the following command in your terminal:
./extractor -v --Blk_Design --bitext rsh --eps 1e-5 --alpha ‘rate’ --weakdes gfp --outputsize ‘m’ --inputsize ‘2*n’ --seed rnd_short_subset1.txt --input ‘input.txt’ --output_file ‘output.txt’
You will most likely encounter an error, which says your m is too large and the most number of extractable bits is something marginally less. Adjust m down to that, as the algorithm is not able to extract quite as many bits as you’d wish for.
Once you have run the extractor, you have an output file called ‘output.txt’, which contains the certified random numbers you have extracted from the raw data.
Time to celebrate!
[1] Shen, Lijiong, et al. 'Randomness extraction from bell violation with continuous parametric down-conversion.' Physical review letters 121.15 (2018): 150402.
[2] Ma, Xiongfeng, et al. 'Postprocessing for quantum random-number generators: Entropy evaluation and randomness extraction.' Physical Review A 87.6 (2013): 062327.