Random Number Thesis

This means that each photon can only take one of the two paths and can be detected by only one detector. As the path taken by each photon is a quantum process with probability 50%, each detection is completely random.

Therefore, the binary sequence generated via this process will be a random one.

Computer algorithms or any other deterministic method for the generation of random numbers are not truly random but pseudo-random processes, since knowing the generating algorithm will result in the determination of the whole sequence.

On the contrary, there are instances where it is fundamentally impossible to determine a priori the outcome of a measurement.

By quantum theory we know that after passing through the PBS the state of the system, either |V〉 or |H〉, is an eigenstate of the polarization operator.

The probability of obtaining each of them is given by the inner product with the initial state: The PBS sends the photons that are projected onto |V〉 through one path and the ones are projected onto |H〉 through the other.At the outputs of the beamsplitter, we place fiber couplers that are connected to single photon detectors.Figure 1 shows the setup implemented in the quantum optics laboratory.It is possible that both detectors register a 1 and a 0 simultaneously.Nonetheless, this has to do with the time resolution of the detectors, rather than with the quantum physics associated with the process. Without understanding where a group of numbers came from, it is impossible to know if they were randomly generated.However, common sense claims that if the process to generate these numbers is truly understood, then the numbers could not be random.For further information, including about cookie settings, please read our Cookie Policy .By continuing to use this site, you consent to the use of cookies.Knowing the how and why of a number sequence without knowing the values that will come is possible, and this thesis explains how it is accomplished.We use cookies to make interactions with our website easy and meaningful, to better understand the use of our services, and to tailor advertising.

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