Quantum Digital Signatures

C. Croal, Ch. Peuntinger, B. Heim, I. Khan, Ch. Marquardt, G. Leuchs, P. Wallden, E. Andersson, N. Korolkova:   Free-space quantum signatures using heterodyne detection

Phys. Rev. Lett. 117, 100503 (2016)

Digital signatures guarantee the authorship of electronic communications. Currently used “classical” signature schemes rely on unproven computational assumptions for security, while quantum signatures rely only on the laws of quantum mechanics to sign a classical message. Previous quantum signature schemes have used unambiguous quantum measurements. Such measurements, however, sometimes give no result, reducing the efficiency of the protocol. Here, we instead use heterodyne detection, which always gives a result, although there is always some uncertainty. We experimentally demonstrate feasibility in a real environment by distributing signature states through a noisy 1.6 km free-space channel. Our results show that continuous-variable heterodyne detection improves the signature rate for this type of scheme and therefore represents an interesting direction in the search for practical quantum signature schemes. For transmission values ranging from 100% to 10%, but otherwise assuming an ideal implementation with no other imperfections, the signature length is shorter by a factor of 2 to 10. As compared with previous relevant experimental realizations, the signature length in this implementation is several orders of magnitude shorter.

Articles submitted to refereed journals

  • S. Mukherjee, D. Mogilevtsev, G. Ya. Slepyan, T. H. Doherty, R. R. Thomson, N. Korolkova: Coherent Diffusive Photonics,  submitted to Nature Communications
  • D. F. Milne, N. V. Korolkova, P. van Loock: Topological quantum computation by displacing non-Gaussian states,  manuscript
  • N. Korolkova: Quantum Discord and Quantumness of Correlations in Bosonic Systems, invited review, submitted to Contemporary Physics.

Published Articles

  • T. J. Proctor, M. Giulian, N. Korolkova, E. Andersson, V. Kendon: Ancilla-driven quantum computation for qudits and continuous variablesPhys. Rev. A 95, 052317 (2017).
  • C. Croal, Ch. Peuntinger, B. Heim, I. Khan, Ch. Marquardt, G. Leuchs, P. Wallden, E. Andersson, N. Korolkova: Free-space quantum signatures using heterodyne detectionPhys. Rev. Lett. 117, 100503 (2016).
  • N. Quinn, C. Croal, N. Korolkova: Quantum discord and entanglement distribution as the flow of correlations through a dissipative quantum system,  J. Russian Laser Research 36, p. 550 (2015) (Special issue for the International Year of Light).
  • C. Croal, Ch. Peuntinger, V. Chille, Ch. Marquardt, G. Leuchs, N. Korolkova, L. Mišta: Entangling the whole by beam splitting a partPhys. Rev. Lett. 115, 190501 (2015).
  • A. Kohnle, C. Baily, A. Campbell, N. Korolkova and M. Paetkau: Enhancing student learning of two-level quantum systems with interactive simulationsAm. J. Phys. 83, 560 (2015).
  • V. Chille, N. Quinn, C. Peuntinger, C. Croal, L. Mišta, Jr., Ch. Marquardt, G. Leuchs, N. Korolkova: Quantum nature of Gaussian discord: Experimental evidence and role of system-environment correlationsPhys. Rev. A 91, 050301(R) (2015).
  • D. Mogilevtsev, G. Slepyan, E. Garusov, S. Kilin and N. Korolkova: Quantum tight-binding chains with dissipative couplingNew J. Phys. 17, 043065 (2015).
  • G. Harder, D. Mogilevtsev, N. Korolkova, Ch. Silberhorn: Tomography by noisePhys. Rev. Lett. 113, 070403 (2014). Highlighted as Editor´s Suggestion. Featured in Nature Photonics Reseach Highlights (N. Horiuchi, Nature Photonics 8, 812813 (2014)).
  • R. Tatham and N. Korolkova: Entanglement concentration with quantum nondemolition HamiltoniansPhys. Rev. A 89, 012308 (2014).
  • R. Tatham and N. Korolkova: Quantum discord from system-environment correlationsPhys. Scr. T160, 014040 (2014).
  • Ch. Peuntinger, V. Chille, L. Mišta, Jr., N. Korolkova, M. Förtsch, J. Korger, C. Marquardt, G. Leuchs: Distributing entanglement with separable statesPhys. Rev. Lett. 111, 230506 (2013).   Featured in Physics 6, 132 (2013). Editor’s Suggestion.   Cited 20.
  • S. Ivanov, N. Vitanov, N. Korolkova: Creation of arbitrary Dicke and NOON states of trapped-ion qubits by global addressing with composite pulsesNew J. Phys. 15, 023039 (2013).
  • D. Mogilevtsev, A. Mikhalychev, V. S. Shchesnovich, and N. Korolkova: Nonlinear dissipation can combat linear lossPhys. Rev. A 87, 063847 (2013).
  • D. Vasylyev, F. Rozpedek, and N. Korolkova: Reconciliation witness and reliabilility of quantum atmospheric channelPhys. Scr. T153, 014061 (2013).
  • L. Mišta and N. Korolkova: Gaussian multipartite bound informationPhys. Rev. A 86, 040305(R) (2012).
  • D. F Milne, N. V Korolkova and P. van Loock: Universal Quantum Computation with Continuous-Variable Abelian AnyonsPhys. Rev. A 85, 052325 (2012).
  • D. F. Milne and N. V. Korolkova: Composite Cluster States and Alternative Architectures for One-Way Quantum ComputationPhys. Rev. A 85, 032310 (2012).
  • R. Tatham, L. Mišta, G. Adesso and N. Korolkova: Nonclassical correlations in continuous-variable non-Gaussian Werner statesPhys. Rev. A 85, 022326 (2012).
  • A. Kohnle, D. Cassettari, T. J. Edwards, C. Ferguson, A. D. Gillies, C. A. Hooley, N. Korolkova, J. Llama, B. D. Sinclair: A new multimedia resource for teaching quantum mechanics conceptsAm. J. Phys. 80, 148 (2012).
  • R. Tatham and N. Korolkova: Entanglement concentration for two atomic ensembles using an effective atom-light beamsplitterJ. Phys. B: At. Mol. Opt. Phys. 44, 175506 (2011).
  • L. Mišta, R. Tatham, D. Girolami, N. Korolkova and G. Adesso: Measurement-induced disturbances and non-classical correlations of Gaussian statesPhys Rev A 83, 042325 (2011).   Cited 21.
  • R. Tatham, D. Menzies and N. Korolkova: An approximate effective beamsplitter interaction between light and atomic ensemblesPhys. Scr. T143, 014023 (2011).
  • U. Leonhardt and N. Korolkova: The 17th Central European Workshop on Quantum Optics in St Andrews, ScotlandPhys. Scr. T143, 014001 (2011).
  • L. Mišta and N. Korolkova: Improving continuous-variable entanglement distribution by separable statesPhys. Rev. A, 80, 032310 (2009).
  • D. Mogilevtsev, T. Tyc and N. Korolkova: Influence of modal loss on the quantum state generation via cross-Kerr nonlinearityPhys. Rev. A 79, 053832 (2009).
  • D. Menzies and N. Korolkova: Weak Measurements with Entangled ProbesPhys. Rev. A 77, 062105 (2008).
  • D. Menzies and N. Korolkova: Weak Values and Entanglement ConcentrationQuantum Communication, Measurement and Computing (QCMC), The 9th International Conference, Calgary, Canada, 19-24 August 2008, AIP Conference Proceedings, A. Lvovsky (ed), pp. 9-12.
  • L. Mišta and N. Korolkova: Distribution of continuous-variable entanglement by separable Gaussian statesPhys. Rev. A 77, 050302(R) (2008).
  • G. F. Sinclair and N. Korolkova: Effective cross-Kerr Hamiltonian for a nonresonant four-level atomPhys. Rev. A 77, 033843 (2008).
  • T. Tyc and N. Korolkova: Highly non-Gaussian states created via cross-Kerr nonlinearityNew J. Phys. 10, 023041 (2008).
  • D. Menzies and N. Korolkova: Weak values and continuous-variable entanglement concentrationPhys. Rev. A. 76, 062310, (2007).
  • G. Sinclair and N. Korolkova: Cross-Kerr interaction in a four-level atomic systemPhys. Rev. A 76, 033803 (2007).
  • D. Menzies and N. Korolkova: Procrustean entanglement concentration of continuous-variable states of lightPhys. Rev. A 74, 042315 (2006).
  • A. Luis and N. Korolkova: Polarization squeezing and nonclassical properties of lightPhys. Rev. A 74, 043817 (2006). Cited 31.
  • N. Korolkova and R. Loudon: Nonseparability and squeezing of continuous polarization variablesPhys. Rev. A 71, 032343 (2005).
  • A.V. Prokhorov, N. V. Korolkova, A. M. Araklelyan: Nonlinear control of the light pulse in doped optical fibers,  Laser Physics 15, 1-13 (2005).
  • S. Lorenz, N. Korolkova, and G. Leuchs: Continuous variable quantum key distribution using polarization encoding and post selectionAppl. Phys. B 79, 273 - 277 (2004). Cited 64.
  • O. Glöckl, U. L. Andersen, S. Lorenz, Ch. Silberhorn, N. Korolkova, and G. Leuchs: Sub shot noise phase quadrature measurement of intense light beamsOpt. Lett. 29, 1936 (2004).
  • O. Glöckl, J. Heersink, N. Korolkova, G. Leuchs, S. Lorenz: A pulsed source of continuous variable polarization entanglementJ. Opt. B: Quantum Semiclass. Opt. 5, S492-S496 (2003).
  • O. Glöckl, S. Lorenz, Ch. Marquardt, J. Heersink, M. Brownnutt, Ch. Silberhorn, Q. Pan, P. van Loock, N. Korolkova, and G. Leuchs: Experiment towards continuous-variable entanglement swapping: Highly correlated four-partite quantum statePhys. Rev. A 68, 012319 (2003).   Cited 51.
  • G. Leuchs, N. Korolkova, and N. Lütkenhaus: Mehr Sicherheit durch Quantenschlüssel,  Physik Journal, 3, 20 (2003) (in German).
  • J. Heersink, T. Gaber, S. Lorenz, O. Glöckl, N. Korolkova, and G. Leuchs: Polarization squeezing of intense pulses with a fiber Sagnac interferometerPhys. Rev. A 68, 013815 (2003).   Cited 39.
  • G. Leuchs, Ch. Silberhorn, O. Glöckl, Ch. Marquardt, N. Korolkova: Quantum interferometry with intense optical pulsesFortschr. Phys. 51, 409-413 (2003).

Articles published prior to 2003   ↳   pdf

Book Contributions

  • L. C. Davila Romero and N. Korolkova: Quantum teleportation, in Lecture Notes in Quantum Information, D. Bruss and G. Leuchs (eds.), Wiley-VCH 2007, pp. 255-270.
  • N. Korolkova: Polarization squeezing and entanglement, in Continuous Variable and Quantum Information, N. Cerf, G. Leuchs and E. S. Polzik (eds.), Imperial College Press 2007, pp. 181-196.
  • N. Korolkova: Quantum polarization for continuous variable information processing, in Quantum Information Processing, G. Leuchs and T. Beth (eds.), Second edition, Wiley-VCH Verlag GmbH & Co KGaA, Weinheim 2005, pp. 405-417 (new chapter in Second edition).
  • G. Leuchs, N. Korolkova, O. Glöckl, S. Lorenz, J. Heersink, Ch. Silberhorn, Ch. Marquardt, U. L. Andersen: Quantum fiber solitons for quantum information, in Quantum Information Processing, G. Leuchs and T. Beth (eds.), Second edition, Wiley-VCH Verlag GmbH & Co KGaA, Weinheim 2005, pp. 425-442 (essentially revised for Second ed.).
  • G. Leuchs, N. Korolkova, Ch. Silberhorn, O. Glöckl, S. Lorenz: Quantum structure of fiber solitons and quantum communication, in Quantum Information Processing, T. Beth and G. Leuchs (eds.), Wiley-VCH Verlag GmbH & Co KGaA, Weinheim 2003, p. 308-321.
  • S. Lorenz, N. Korolkova, N. Lütkenhaus, and G. Leuchs: Experimental cryptography using contiuous polarization states, in Quantum Communications and Cryptography, A. V. Sergienko (ed.), Taylor & Francis 2006, pp. 103-126.
  • G. Leuchs, Ch. Silberhorn, F. König, A. Sizmann, and N. Korolkova: Quantum solitons in optical fibres: basic requisites for experimental quantum communication, in Quantum Information Theory with Continuous Variables, S. L. Braunstein and A. K. Pati (eds.), Kluwer Academic Publishers, Dodrecht 2003, 379-421.
  • N. Korolkova and G. Leuchs: Multimode Quantum Correlations, in Coherence and Statistics of Photons and Atoms, J. Peřina (ed.), John Wiley & Sons, Inc., 2001, pp. 111-158.