Unconditionally Secure Quantum Key Distribution In Higher Dimensions
Abstract
In search of a quantum key distribution scheme that could stand up for more drastic eavesdropping attack, I discover a prepareandmeasure scheme using $N$dimensional quantum particles as information carriers where $N$ is a prime power. Using the ShorPreskilltype argument, I prove that this scheme is unconditional secure against all attacks allowed by the laws of quantum physics. Incidentally, for $N = 2^n > 2$, each information carrier can be replaced by $n$ entangled qubits. And in this case, I discover an eavesdropping attack on which no unentangledqubitbased prepareandmeasure quantum key distribution scheme known to date can generate a provably secure key. In contrast, this entangledqubitbased scheme produces a provably secure key under the same eavesdropping attack whenever $N \geq 16$. This demonstrates the advantage of using entangled particles as information carriers to combat certain eavesdropping strategies.
 Publication:

arXiv eprints
 Pub Date:
 December 2002
 DOI:
 10.48550/arXiv.quantph/0212055
 arXiv:
 arXiv:quantph/0212055
 Bibcode:
 2002quant.ph.12055C
 Keywords:

 Quantum Physics
 EPrint:
 15 pages in ieeetran.cls