The security of modern cryptographic systems used today is based on unproven mathematical assumptions that could be disproved at any time. Moreover, future quantum computers will be able to break our public key cryptography. In contrast, quantum cryptography is based on fundamental laws of quantum mechanics: the no-cloning theorem, which states that no unknown quantum state can be copied perfectly and the Heisenberg uncertainty, which states that not all properties of a quantum system can be readout simultaneously. The encoding in single photons is crucial, as only then the information is protected from eavesdropping attacks.
Many implementations of quantum cryptography utilize weak coherent states. In order to reduce the amount of multi-photon pulses, a very low mean photon number is used, which implies that most pulses are actually empty and carry no information. Instead, we are using single photons emitted from fluorescent defects in solid-state crystals. By using a true single photon source, we can enhance the data rate significantly. While our current experiments are still in a laboratory, in the near future we will also test free space links in the field and establish quantum links between distant buildings.
Quantum mechanics is based on certain postulates, such as Born's rule, which states that the probability density is given by the absolute square of the wave function. While it is impossible to proof this without making other assumptions on the mathematical structure of the measurement process, one can make interferometric experiments and check if the results follow the distribution predicted by Born's rule. A consequence of any deviation would be higher-order interference in multi-path interferometers.
We have shown that a fundamental quantum advantage is possible when using true single photons instead of coherent states produced by a laser in interferometers. This allowed us to increase the sensitivity and find a tight upper bound to any potential deviation. Now we are increasing the phase stability of our interferometer and use more complex multi-path interferometers to further enhance the sensitivity of our experiments.