Security of Continuous-Variable Quantum Key Distribution with Imperfect Phase Compensation

Phase compensation is a necessary procedure in practical application of continuous-variable quantum key distribution (CVQKD) for the reason of unavoidable phase drifts of quantum signals in quantum channel. However, the phase compensation may become imperfect in practical applications. The security of CVQKD scheme with imperfect phase compensation is investigated under realistic conditions of quantum channel and detector. In particular, a tight security bound to the phase noise of the imperfect phase compensation are derived for reverse reconciliation and realistic homodyne detection. Moreover, the phase noise is analyzed experimentally and a practical phase compensation procedure is applied to simulate the imperct processing. The simulation results show its coincidence to the security bound, and reveal the sensitivity of the security of the reverse reconciliation CVQKD protocol to the noise arising from imperfect phase compensation.

[1]  Li-Hua Gong,et al.  A continuous variable quantum deterministic key distribution based on two-mode squeezed states , 2014 .

[2]  M. Curty,et al.  Measurement-device-independent quantum key distribution. , 2011, Physical review letters.

[3]  Xiang Peng,et al.  Continuous-variable quantum key distribution with Gaussian source noise , 2011, 1101.0871.

[4]  E. Diamanti,et al.  Analysis of Imperfections in Practical Continuous-Variable Quantum Key Distribution , 2012, 1206.6357.

[5]  Raúl García-Patrón,et al.  Continuous-variable quantum key distribution protocols over noisy channels. , 2008, Physical review letters.

[6]  V. Scarani,et al.  The security of practical quantum key distribution , 2008, 0802.4155.

[7]  P. Grangier,et al.  Erratum: Unconditional Security Proof of Long-Distance Continuous-Variable Quantum Key Distribution with Discrete Modulation [Phys. Rev. Lett. 102, 180504 (2009)] , 2011 .

[8]  Vladyslav C. Usenko,et al.  Feasibility of continuous-variable quantum key distribution with noisy coherent states , 2009, 0904.1694.

[9]  N. Cerf,et al.  Quantum key distribution using gaussian-modulated coherent states , 2003, Nature.

[10]  Christian Weedbrook,et al.  Quantum cryptography without switching. , 2004, Physical review letters.

[11]  H. Lo,et al.  Experimental study on the Gaussian-modulated coherent-state quantum key distribution over standard telecommunication fibers , 2007, 0709.3666.

[12]  Seth Lloyd,et al.  Gaussian quantum information , 2011, 1110.3234.

[13]  Vikram Sharma,et al.  No-switching quantum key distribution using broadband modulated coherent light. , 2005, Physical review letters.

[14]  Peng Huang,et al.  Bound on Noise of Coherent Source for Secure Continuous-Variable Quantum Key Distribution , 2013, International Journal of Theoretical Physics.

[15]  Miguel Navascués,et al.  Optimality of Gaussian attacks in continuous-variable quantum cryptography. , 2006, Physical review letters.

[16]  A. Acín,et al.  Security bounds for continuous variables quantum key distribution. , 2004, Physical review letters.

[17]  P. Grangier,et al.  Continuous variable quantum cryptography using coherent states. , 2001, Physical review letters.

[18]  N. Cerf,et al.  Unconditional optimality of Gaussian attacks against continuous-variable quantum key distribution. , 2006, Physical Review Letters.

[19]  S. McLaughlin,et al.  Quantum key distribution over 25 km with an all-fiber continuous-variable system , 2007, 0706.4255.

[20]  Philippe Grangier,et al.  Controlling excess noise in fiber-optics continuous-variable quantum key distribution , 2005, quant-ph/0511104.

[21]  J. Cirac,et al.  De Finetti representation theorem for infinite-dimensional quantum systems and applications to quantum cryptography. , 2008, Physical review letters.

[22]  Seth Lloyd,et al.  Quantum cryptography approaching the classical limit. , 2010, Physical review letters.

[23]  H. Bechmann-Pasquinucci,et al.  Quantum cryptography , 2001, quant-ph/0101098.

[24]  Hong Guo,et al.  Security bound of continuous-variable quantum key distribution with noisy coherent states and channel , 2009, 0904.1327.

[25]  Renato Renner,et al.  Security of continuous-variable quantum key distribution against general attacks. , 2012, Physical review letters.

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

[27]  Mario Berta,et al.  Continuous variable quantum key distribution: finite-key analysis of composable security against coherent attacks. , 2012 .

[28]  S. Lloyd,et al.  Characterization of collective Gaussian attacks and security of coherent-state quantum cryptography. , 2008, Physical review letters.

[29]  Anthony Leverrier,et al.  Unconditional security proof of long-distance continuous-variable quantum key distribution with discrete modulation. , 2008, Physical review letters.

[30]  Frédéric Grosshans.  Collective attacks and unconditional security in continuous variable quantum key distribution. , 2005, Physical review letters.