×

Performance analysis for Brandt’s conclusive entangling probe. (English) Zbl 1119.81044

Summary: The Fuchs-Peres-Brandt (FPB) probe realizes the most powerful individual attack on Bennett-Brassard 1984 quantum key distribution by means of a single controlled-NOT gate in which Alice’s transmitted qubit becomes the control-qubit input, Bob’s received qubit is the control-qubit output, and Eve supplies the target-qubit input and measures the target-qubit output. The FPB probe uses the minimum-error-probability projective measurement for discriminating between the target-qubit output states that are perfectly correlated with Bob’s sifted bit value when that bit is correctly received. This paper analyzes a recently proposed modification of the FPB attack in which Eve’s projective measurement is replaced by a probability operator-valued measurement chosen to unambiguously discriminate between the same two target-qubit output states.

MSC:

81P68 Quantum computation
94A60 Cryptography
81P15 Quantum measurement theory, state operations, state preparations
PDF BibTeX XML Cite
Full Text: DOI arXiv

References:

[1] Fuchs C.A. and Peres A. (1996). Phys. Rev. A 53:2038
[2] Slutsky B.A., Rao R., Sun P.-C., and Fainman Y. (1998). Phys. Rev. A 57:2383
[3] Brandt H.E. (2005). Phys. Rev. A 71:042312 · Zbl 1227.81142
[4] J. H. Shapiro and F. N. C. Wong, Phys. Rev. A (To appear); quant-ph/0508051
[5] M. Fiorentino and F. N. C. Wong, Phys. Rev. Lett. 93, 070502 (2004); M. Fiorentino, T. Kim, and F. N. C. Wong, Phys. Rev. A 72, 012318 (2005).
[6] Brandt H.E. (2005). J Mod Opt 52:2177 · Zbl 1079.81010
[7] H. E. Brandt, Quant. Inform. Proc. (To appear) DOI: 10.1007/s11128-005-0003-0
[8] H. E. Brandt, Conclusive entangling probe, quant-ph/0509088
[9] H. E. Brandt and J. M. Myers, Expanded conclusive eavesdropping in quantum key distribution, quant-ph/0509211
[10] Ekert A.K., Huttner B., Palma G.M., Peres A. (1994). Phys. Rev. A 50:1047
[11] Bennett C.H. (1992). Phys. Rev. Lett 68:3121 · Zbl 0969.94501
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.