Comparison of 4 Multi-User Passive Network Topologies for 3 Different Quantum Key Distribution

Fabio Garzia, Roberto Cusani

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DOI: 10.4236/cn.2010.23025                

Abstract

The purpose of this paper is to compare the performance of four passive optical network topologies in implementing multi-user quantum key distribution, using 3 protocols proposed by quantum cryptography (B92, EPR, and SSP). The considered networks are the passive-star network, the optical-ring network based on the Signac interferometer, the wavelength-routed network, and the wavelength-addressed bus network. The quantum bit-error rate and sifted key rate for each of these topologies are analysed to determine their suitability for providing quantum key distribution-service to networks of various sizes. The efficiency of the three considered protocols is also determined.

Keywords

Quantum Cryptography, Quantum Key Distribution

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	N. Gisin, G. Ribordy, W. Tittel and H. Zbinden, “Quan- tum Cryptography,” Reveiw of Modern Physics, Vol.2, Septemner 2001, pp. 1-57.
[2]	W. K. Wootters and W. Zurek, “A Single Quantum Can- not be Cloned,” Nature, Vol. 299, London, 1982. pp. 802-803.
[3]	P.Kumavor, A. Beal, S. Yelin, E. Donkor and B. Wang, “Comparison of Four Multi-user Quantum Key Distribu- tion Schemes Over Passive Optical Networks,” Journal of Lightwave Technology, Vol 23, No.1 January 2005, p.268.
[4]	C. H. Bennett and G. Brassard, “Quantum Cryptography: Public Key Distribution and Coin Tossing,” IEEE Confonference on Computers, Systems Signal Processing, Bangalore, 1984.
[5]	C. Bennett, “Quantum Cryptography Using Any Two Non-orthogonal States,” Physical Review Letter, Vol. 68, 1992, p. 3121,
[6]	K. J. Gordon, V. Fernandez, P. D. Townsend and G. S. Buller, “A Short Wavelength Giga Hertz Clocked Fiber-Optic Quantum Key Distribution System,” IEEE Journal of Quantum Electronics, Vol 40, No7, July 2004, pp. 900-908.
[7]	A. Einstein, B. Podolsky and N. Rosen, “Can Quantum- Mechanical Description of Physical Reality be Considered Complete,” Physical Review, Vol. 41, May 1935, p. 777.
[8]	M. M. Ishtiaq Khan and M. Sher: “Protocols for Secure Quantum Transmission: a Review of Recent Develop- ments,” Pakistan Journal of Information and Technology Vol. 2, No. 3, 2003, pp. 265-276.
[9]	J. Bell, “On the Einstein, Podolsky, Rosen Paradox,” Physics, Vol. 1, 1964, pp. 195-200.
[10]	D. Bru? and N. Lutkenhaus, “Quantum Key Distribution: From Principles to Practicalities,” Vol. 2, September 1999.
[11]	C. Bennett, F. Bessette, G. Brassard, L. Salvail and J. Smolin, “Experimental Quantum Cryptography”, Journal of Cryptography, Vol. 5, No. 1, 1992, pp. 3-28.
[12]	A. Muller, J. Breguet and N. Gisin, “Experimental Demonstration of Quantum Cryptography Using Polarized Photons in Optical Fiber Over More Than 1 km,” Europhysics Letter, Vol. 23, 1993, pp. 383-388.
[13]	D. Stucki et al., “Photon Counting for Quantum Key Distribution With Peltier Cooled InGaAs/InP APD’s,” Journal of Modern Optics, Vol. 48, No. 13, 2001, pp. 1967-1981.
[14]	P. D. Townsend, “Quantum Cryptography on Multi-user Optical Fiber Networks,” Journal of Nature, Vol. 385, No.2, 1997, pp. 47-49.
[15]	T. Nishioka, H. Ishizuka, T. Hasegawa, and J. Abe, “Circular Type Quantum Key Distribution,” IEEE Photon Technical Letter, Vol. 14, No. 4, April 2002, pp. 576-578.
[16]	C. A. Fuchs, N. Gisin, R. B. Griffiths, C. S. Niu and A. Peres, “Optimal Eavesdropping in Quantum Crypto- graphy I,” Physical Review A, Vol. 56, 1997, pp. 1163.
[17]	C. A. Fuchs and A. Peres, “Quantum State Disturbance VS. Information Gain: Uncertainty Relations for Quantum Information,” Physical Review A, Vol. 53, 1996, pp. 2038-2045.
[18]	D. Bru?, “Optimal Eavesdropping in Quantum Crypto- graphy With Six States,” Physical Reveiw Letter, Vol. 81, 1998, p. 3018.
[19]	D. Stucki, N. Gisin, O. Guinnard, G. Ribordi and H. Zbinden, “Quantum Key Distribution Over 67 km With a Plug&Play System,” New Journal of Physics, Vol. 4, July 2002, pp. 1-8.
[20]	P. A. Hiskett et al., “Eighty Kilometer Transmission Experiment Using an InGaAs/InP SPAD-based Quantum Cryptography Receiver Operating at 1.55 ?m,” Journal of Modern Optics, Vol. 48, No. 13, July 2001, pp. 1957-1966.
[21]	D. S. Bethune and W. P. Risk, “Autocompensating Quan- tum Cryptography,” New Journal of Physics, Vol. 4, July 2002, pp. 1-15.
[22]	X. Fang and R. O. Claus, “Polarization-dependent All- fiber Wavelength Division Multiplexer Based on a Signac Interferometer,” Optical Letter, Vol. 20, No. 20, October 1995, pp. 2146-2148,.
[23]	P. D. Townsend, J. G. Rarity and P. R. Tapster, “Enhanc- ed Single Photon Fringe Visibility in a 10 km-long Prototype Quantum Cryptography Channel,” Electronics Letter, Vol. 29, July 1993, pp. 1291-1293.
[24]	C. Marand and P. D. Townsend, “Quantum Key Distri- bution Over Distances as Long as 30 km,” Optical Letter, Vol. 20, No. 16, August 1995, pp. 1695-1697.
[25]	H. Zbinden, “Interferometry With Faraday Mirrors for Quantum Cryptography,” Electronics Letter, Vol. 33, 1997, pp. 586-588.
[26]	H. Kosaka, A. Tomita, Y. Nambu, N. Kimura and K. Nakamura, “Single Photon Interference Experiment Over 100 km for Quantum Cryptography System Using a Balanced Gated-mode Photon Detector,” Electronics Letter, Vol. 39, No. 16, 2003, pp. 1199-1201.
[27]	S. J. D. Phoenix et al., “Multi-user Quantum Crypto- graphy on Optical Networks,” Journal of Modern Optics, Vol. 42, No. 6, January 1995, pp. 1155–1163.
[28]	A. Muller, T. Herzog, B. Huttner, W. Tittel, H. Zbinden, and N. Gisin, “Plug and Play Systems for Quantum Cryptography,” Applied Physics Letter, Vol. 70, No. 7, February 1997, pp. 793–795.
[29]	E. Waks et al., “Secure Communication: Quantum Cryptography With a Photon Turnstile,” Nature, Vol. 420, London, December 2002, p. 762.
[30]	E. Moreau et al., “Single-mode Solid-state Single Photon Source Based on Isolated Quantum Dots in Pillar Microcavities,” Applied Physcis Letter, Vol. 79, No. 18, October 2001, pp. 2865-2867.
[31]	H. Bechmann-Pasquinucci, and N. Gisin, “Incoherent and Coherent Eavesdropping in the 6-state Protocol of Quantum Cryptography,” Physical Review A, Vol. 59, No. 6, 1998, pp. 1-11.
[32]	A. Ekert, “Quantum Cryptography Based on Bell's Theorem,” Physical Review Letter, Vol. 67, 1991, pp. 661-663.
[33]	R. J. Hughes, G. L. Morgan and C. G. Peterson, “Practical Quantum Key Distribution Over a 48-km Optical Fiber Network,” Physics Division Los Alamos National Liberatory. NM 87545.