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Emerging quantum technologies make it possible to isolate single quantum states (for example, spin states of photons). It is possible to generate random binary strings by sharing quantum states; this topic is known as quantum key distribution (QKD). Due to quantum states collapsing upon measurement, it is possible to detect eavesdropping between the sharing of these quantum states. This thesis ... read morefocuses on the linear algebra of some modern QKD schemes. Namely, if Alice and Bob want to generate a random binary string to use as a key in a classical encryption algorithm, they can agree on two sets of equiangular tight frames that are related intimately. The primary goal of this thesis is to provide an introduction to QKD with frames, and analyze the properties of some frames that have already been proposed for QKD.
Thesis (B.S.)--Tufts University, 2022.
Submitted to the Dept. of Mathematics.read less
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