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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Maximum information loss from a POVM receiver

Howard E. Brandt

Published Jul 26, 2001• 0 citations
Publisher

Abstract

After summarizing a recent calculation of the maximum Renyi information loss from a POVM quantum cryptographic receiver to a general unitary probe, we calculate the least effective inconclusive-rate monitoring threshold for the receiver.
DOI
10.1117/12.434215

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After summarizing a recent calculation of the maximum Renyi information loss (for fixed error and inconclusive rates) from a positive operator valued measure (POVM) quantum cryptographic receiver to a general unitary probe, I calculate the worst inconclusive rate for the legitimate receiver. Disturbed inconclusive rates are considered which are less, as well as greater, than the unperturbed inconclusive rate. I also demonstrate that for an optimized individual attack there is a minimum induced error rate which is fixed by the induced inconclusive rate.
The inclusive rate is considered as a disturbance measure in key distribution in quantum cryptography. Bennett's two- state protocol is addressed for the case in which a positive operator valued measure is implemented by the legitimate receiver in the presence of individual attack by a general unitary disturbing eavesdropping probe. The maximum Renyi information gain by the disturbing probe is calculated for given receiver error and inconclusive rates. It is demonstrated explicitly that less information is available to an eavesdropper at fixed inconclusive rate and error rate than is available at fixed error rate only.
The inconclusive rate is considered as a disturbance measure in key distribution in quantum cryptography. Bennett's two-state protocol is addressed for the case in which a positive operator-valued measure is implemented by the legitimate receiver in the presence of an individual attack by a general unitary disturbing eavesdropping probe. The maximum Renyi information gain by the disturbing probe is calculated for given receiver error and inconclusive rates. It is demonstrated explicitly that less information is available to an eavesdropper at a fixed inconclusive rate and error rate than is available at a fixed error rate only.