Modeling quantum optics for quantum key distribution system simulation

Abstract

This article presents the background, development, and implementation of a simulation framework used to model the quantum exchange aspects of Quantum Key Distribution (QKD) systems. The presentation of our simulation framework is novel from several perspectives, one of which is the lack of published information in this area. QKD is an innovative technology which exploits the laws of quantum mechanics to generate and distribute unconditionally secure cryptographic keys. While QKD offers the promise of unconditionally secure key distribution, real world systems are built from non-ideal components which necessitates the need to understand the impact these non-idealities have on system performance and security. To study these non-idealities we present the development of a quantum communications modeling and simulation capability. This required a suitable mathematical representation of quantum optical pulses and optical component transforms. Furthermore, we discuss how these models are implemented within our Discrete Event Simulation-based framework and show how it is used to study a variety of QKD implementations.

Keywords

Cryptography modeling simulation quantum

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References

Benett

Brassard

. Quantum cryptography: Public key distribution and coin tossing. In: Proceedings of IEEE international conference on computers, systems and signal processing. Bangalore, India, 1984.

Mailloux

Morris

Grimaila

. A modeling framework for studying quantum key distribution system implementation non-idealities. IEEE Access 2015; 3: 110–130.

Brassard

Lutkenhaus

Mor

. Limitations on practical quantum cryptography. Phys Rev Lett 2000; 85: 1330–1333.

Mailloux

Grimaila

Hodson

. Performance evaluations of quantum key distribution system architectures. IEEE Secur Priv 2015; 15: 30–40.

Wiesner

. Conjugate coding. ACM Sigact News 1983; 15: 78–88.

Schumacher

. Quantum coding. Phys Rev A 1995; 51: 2738–2747.

Grimaila

Morris

Hodson

. Quantum key distribution: A revolutionary security technology. ISSA J 2012; : 20–27.

Scarani

Bechmann-Pasquinucci

Cerf

. The security of practical quantum key distribution. Rev Mod Phys 2009; 81: 1301–1350.

Morris

Grimaila

Hodson

. Using the discrete event system specification to model quantum key distribution system components. J Def Model Simul 2015; 12: 457–480.

10.

Gerry

Knight

. Introductory quantum optics. New York, Cambridge University Press, 2005.

11.

Saleh

BEA

Teich

. Fundamentals of photonics. 2nd ed. New Jersey, Wiley-Interscience, 2007.

12.

ID300 series sub-nanosecond pulsed laser source datasheet, http://www.idquantique.com/images/stories/PDF/id300-laser-source/id300-specs.pdf (accessed 5 March 2014).

13.

Miller

DAB

. Quantum mechanics for scientists and engineers. New York, Cambridge University Press, 2008.

14.

INET framework, https://inet.omnetpp.org (accessed 28 June 2015).

15.

Coherent states, https://en.wikipedia.org/wiki/Coherent_states (accessed 28 June 2015).

16.

Fock or number state, https://en.wikipedia.org/wiki/Fock_state (accessed 28 June 2015).

17.

SWIG simplified wrapper and interface generator, http://www.swig.org (accessed 28 June 2015).

18.

Python. https://www.python.org (accessed 28 June 2015).

19.

IPython. http://ipython.org (accessed 28 June 2015).

20.

matplotlib plotting package for python, http://matplotlib.org (accessed 28 June 2015).

21.

The R project for statistical computing, http://www.r-project.org. (accessed 24 June 2015).

22.

Chen

. Decoy state quantum key distribution. Phys Rev Lett 2005; 94: 230504.

23.

Engle

Mailloux

Grimaila

. Implementing the decoy state protocol in a practically-oriented quantum key distribution system-level model. J Def Model Simul 2016.

24.

Curty

. Measurement-device-independent quantum cryptography. IEEE J Sel Top Quantum Electron 2014.