Abstract
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.
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References
Fuchs C.A. and Peres A. (1996). Phys. Rev. A 53:2038
Slutsky B.A., Rao R., Sun P.-C., and Fainman Y. (1998). Phys. Rev. A 57:2383
Brandt H.E. (2005). Phys. Rev. A 71:042312
J. H. Shapiro and F. N. C. Wong, Phys. Rev. A (To appear); quant-ph/0508051
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).
Brandt H.E. (2005). J Mod Opt 52:2177
H. E. Brandt, Quant. Inform. Proc. (To appear) DOI: 10.1007/s11128-005-0003-0
H. E. Brandt, Conclusive entangling probe, quant-ph/0509088
H. E. Brandt and J. M. Myers, Expanded conclusive eavesdropping in quantum key distribution, quant-ph/0509211
Ekert A.K., Huttner B., Palma G.M., Peres A. (1994). Phys. Rev. A 50:1047
Bennett C.H. (1992). Phys. Rev. Lett 68:3121
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PACS: 03.67.Dd, 03.67.Hk, 03.65.Ta.
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Shapiro, J.H. Performance Analysis for Brandt’s Conclusive Entangling Probe. Quantum Inf Process 5, 11–24 (2006). https://doi.org/10.1007/s11128-005-0005-y
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DOI: https://doi.org/10.1007/s11128-005-0005-y