|
| related topics |
| {cos, sin, state} |
| {key, protocol, security} |
| {light, field, probe} |
| {information, entropy, channel} |
| {photon, photons, single} |
| {alice, bob, state} |
| {entanglement, phys, rev} |
| {measurement, state, measurements} |
| {observables, space, algebra} |
|
Optimum Probe Parameters for Entangling Probe in Quantum Key Distribution
Howard E. Brandt
abstract: For the four-state protocol of quantum key distribution, optimum sets of
probe parameters are calculated for the most general unitary probe in which
each individual transmitted photon is made to interact with the probe so that
the signal and the probe are left in an entangled state, and projective
measurement by the probe, made subsequent to projective measurement by the
legitimate receiver, yields information about the signal state. The probe
optimization is based on maximizing the Renyi information gain by the probe on
corrected data for a given error rate induced by the probe in the legitimate
receiver. An arbitrary angle is included between the nonorthogonal linear
polarization states of the signal photons. Two sets of optimum probe parameters
are determined which both correspond to the same optimization. Also, a larger
set of optimum probe parameters is found than was known previously for the
standard BB84 protocol. A detailed comparison is made between the complete and
incomplete optimizations, and the latter simpler optimization is also made
complete. Also, the process of key distillation from the quantum transmission
in quantum key distribution is reviewed, with the objective of calculating the
secrecy capacity of the four-state protocol in the presence of the
eavesdropping probe. Emphasis is placed on information leakage to the probe.
- oai_identifier:
- oai:arXiv.org:quant-ph/0302033
- categories:
- quant-ph
- comments:
- 74 pages
- arxiv_id:
- quant-ph/0302033
- created:
- 2003-02-04
- updated:
- 2003-04-25
Full article ▸
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