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- Quantum key distribution protocols with and without rotational

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06110040

We explore the role of rotational symmetry of quantum key distribution

(QKD) protocols in their security. Specifically, in the first part of the

talk, we consider a generalized QKD protocol with discrete rotational

symmetry. Note that, before our work, each QKD protocol seems to have a

different security proof. Given that the techniques of those proofs are

similar, it will be interesting to have a unified proof for QKD protocols

with symmetry (e.g., the BB84 protocol and the SARG04 protocol). This is

exactly what we achieve in our work. We show that rotational symmetry

plays an important role in the unified security proof of QKD protocols

with symmetry, leading to simple and structural security relations. In the

second part, we consider a QKD protocol that does not possess rotational

symmetry and analyze its security. Interestingly, even without any

rotational symmetry, this protocol can still be proven secure. However,

the security relation is not as simple as those in the first part, due to

the lack of symmetry. Therefore, although rotational symmetry is not

required in a QKD protocol to ensure its security, rotational symmetry

does provide significant simplification in the security analysis, leading

to simple security relations.

©2012 Perimeter Institute for Theoretical Physics