Effects of afterpulse events on performance of entanglement-based quantum key distribution system

In this paper, we theoretically and experimentally study the performance of an entanglement-based quantum key distribution (QKD) system using single-photon detectors (SPDs) with poor afterpulse characteristics. We reveal that the afterpulse fraction (Pa) in an SPD does not impose a bound on the lowest limit of the error rate in sifted keys of an entanglement-based QKD system. Secure secret key sharing is possible even when Pa is large, for example, exceeding 100%. The system performance in terms of the final key rate is found to be dominated by the parameter η/(1 + Pa) of the SPD, where η is the detection efficiency. The operation conditions of the SPD should be optimized so as to have the maximal η/(1 + Pa), while retaining sufficiently low dark counts. The experimental results were in good agreement with the theoretical predictions. A visibility of 90%, which is sufficiently high for secure secret key sharing in a QKD protocol, was obtained in twofold interference experiments even by using an SPD with Pa exceeding 100%.

[1]  N. Lütkenhaus.  Security against individual attacks for realistic quantum key distribution , 2000 .

[2]  H. Takesue,et al.  Observation of 1.5 μm band entanglement using single photon detectors based on sinusoidally gated InGaAs/InP avalanche photodiodes , 2009 .

[3]  Akio Yoshizawa,et al.  A 1550 nm Single-Photon Detector Using a Thermoelectrically Cooled InGaAs Avalanche Photodiode , 2001 .

[4]  S. Arahira,et al.  Generation of polarization entangled photon pairs at telecommunication wavelength using cascaded χ2 processes in a periodically poled LiNbO3 ridge waveguide. , 2011, Optics express.

[5]  N. Gisin,et al.  Pulsed Energy-Time Entangled Twin-Photon Source for Quantum Communication , 1999 .

[6]  Akio Yoshizawa,et al.  Broadband source of telecom-band polarization-entangled photon-pairs for wavelength-multiplexed entanglement distribution. , 2008, Optics express.

[7]  Shor,et al.  Simple proof of security of the BB84 quantum key distribution protocol , 2000, Physical review letters.

[8]  Gilles Brassard,et al.  Secret-Key Reconciliation by Public Discussion , 1994, EUROCRYPT.

[9]  Ueli Maurer,et al.  Generalized privacy amplification , 1994, Proceedings of 1994 IEEE International Symposium on Information Theory.

[10]  Charles H. Bennett,et al.  Quantum cryptography without Bell's theorem. , 1992, Physical review letters.

[11]  William P. Risk,et al.  A high-performance integrated single-photon detector for telecom wavelengths , 2004 .

[12]  P R Tapster,et al.  Photon counting with passively quenched germanium avalanche. , 1994, Applied optics.

[13]  John G. Rarity,et al.  Photon counting for quantum key distribution with peltier cooled InGaAs/InP APDs , 2001 .

[14]  V. Scarani,et al.  Device-independent security of quantum cryptography against collective attacks. , 2007, Physical review letters.

[15]  N. Gisin,et al.  Quantum key distribution over 67 km with a plug , 2002 .

[16]  H. Takesue,et al.  Efficient entanglement distribution over 200 kilometers. , 2009, Optics express.

[17]  Xiuliang Chen,et al.  Room-Temperature Single-Photon Detector Based on InGaAs/InP Avalanche Photodiode With Multichannel Counting Ability , 2011, IEEE Photonics Technology Letters.

[18]  H. Weinfurter,et al.  Free-Space distribution of entanglement and single photons over 144 km , 2006, quant-ph/0607182.

[19]  S. Arahira,et al.  Nearly degenerate wavelength-multiplexed polarization entanglement by cascaded optical nonlinearities in a PPLN ridge waveguide device. , 2013, Optics express.

[20]  S. Arahira,et al.  Experimental investigation in transmission performance of polarization-entangled photon-pairs generated by cascaded χ(2) processes over standard single-mode optical fibers. , 2012, Optics express.

[21]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[22]  Edo Waks,et al.  Security of quantum key distribution with entangled photons against individual attacks , 2000, quant-ph/0012078.

[23]  Hiroki Takesue,et al.  Effects of multiple pairs on visibility measurements of entangled photons generated by spontaneous parametric processes , 2009, 0907.4535.

[24]  N. Namekata,et al.  800 MHz single-photon detection at 1550-nm using an InGaAs/InP avalanche photodiode operated with a sine wave gating. , 2006, Optics express.

[25]  Norbert Lütkenhaus,et al.  ESTIMATES FOR PRACTICAL QUANTUM CRYPTOGRAPHY , 1999 .

[26]  H. Weinfurter,et al.  Distributing entanglement and single photons through an intra-city, free-space quantum channel , 2005, EQEC '05. European Quantum Electronics Conference, 2005..

[27]  A. W. Sharpe,et al.  High speed single photon detection in the near-infrared , 2007, 0707.4307.

[28]  Akio Yoshizawa,et al.  Quantum efficiency evaluation method for gated-mode single-photon detector , 2002 .

[29]  Lo,et al.  Unconditional security of quantum key distribution over arbitrarily long distances , 1999, Science.

[30]  H. Weinfurter,et al.  Entanglement-based quantum communication over 144km , 2007 .

[31]  S. Inoue,et al.  Ultra-Low-Noise Sinusoidally Gated Avalanche Photodiode for High-Speed Single-Photon Detection at Telecommunication Wavelengths , 2010, IEEE Photonics Technology Letters.

[32]  N. Gisin,et al.  Performance of InGaAs/InP Avalanche Photodiodes as Gated-Mode Photon Counters. , 1998, Applied optics.

[33]  John Preskill,et al.  Secure quantum key distribution with an uncharacterized source. , 2003, Physical review letters.