X - NASA Quantum Future Technologies Conference

Milestones in CV-­‐QKD (cont’d)
§� (2003) Reverse reconciliation introduced to overcome 3 dB loss limit [9]
ú� In a reverse reconciliation protocol, Alice corrects her keys to have the same
values as Bob’s
§� (2004) No switching protocol was introduced to eliminate the need to
change basis during encoding [10]
ú� Simplifies implementation and enables higher secret key rates
§� (2009-­‐2011) CV-­‐QKD proved secure [11, 12, 13]
[1] T. C. Ralph, “Continuous variable quantum cryptography,” Phys. Rev. A, 61(1):010303, (1999).
[2] T. C. Ralph, “Security of continuous-­‐variable quantum cryptography,” Phys. Rev. A, 62, 062306 (2000).
[3] M. Hillery, “Quantum cryptography with squeezed states,” Phys. Rev. A, 61(2):022309, Jan (2000).
[4] M.D. Reid, “Quantum cryptography with a predetermined key, using continuous variable Einstein-­‐Podolsky-­‐Rosen correlations,” Phys. Rev. A,
62:022309, (2000).
[5] D. Gottesman and J. Preskill, “Secure quantum key distribution using squeezed states,” Phys. Rev. A, 63:022309, (2001).
[6] N.J. Cerf, M. Levy, & G. Van Assche, “Quantum distribution of Gaussian keys using squeezed states,” Phys. Rev. A, 63:052311,(2001).
[7] F. Grosshans & P. Grangier, “Continuous variable quantum cryptography using coherent states,” Phys. Rev. Lett., 88:057902, (2002).
[8] Ch. Silberhorn, T. C. Ralph, N. Lutkenhaus, and G. Leuchs, “Continuous variable quantum cryptography: Beating the 3 dB loss limit,” Phys. Rev.
Lett., 89(16):167901, Sep (2002).
[9] F. Grosshans, N. J. Cerf, J. Wenger, R. Tualle-­‐Brouri, and P. Grangier, “Virtual entanglement and reconciliation protocols for quantum
cryptography with continuous variables,” Quantum Information and Computation, 3:535–552, (2003).
[10] C. Weedbrook, A. M. Lance, W. P. Bowen, T. Symul, T. C. Ralph, & P. K. Lam, “Quantum Cryptography without Switching,” Phys. Rev. Lett. 93,
170504 (2004).
[11] R. Renner and J. I. Cirac, “de Finetti Representation Theorem for Infinite-­‐Dimensional Quantum Systems and Applications to Quantum
Cryptography,” Phys. Rev. Lett. 102 110504 (2009).
[12] A. Leverrier and P. Grangier, “Unconditional Security Proof of Long-­‐Distance Continuous-­‐Variable Quantum Key Distribution with Discrete
Modulation,” Phys. Rev. Lett. 102, 180504 (2009).
[13] A. Leverrier and P. Grangier, “Erratum: Unconditional Security Proof of Long-­‐Distance Continuous-­‐Variable Quantum Key Distribution with
Discrete Modulation [Phys. Rev. Lett. 102, 180504 (2009)],” Phys. Rev. Lett. 106, 259902(E) (2011).