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Defeating eavesdropping with quantum illumination

Wenbang Xu

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

Quantum illumination is a paradigm for using entanglement to gain a performance advantage-in comparison with classical-state systems of the same optical power-over lossy, noisy channels that destroy entanglement. Previous work has shown how it can be used to defeat passive eavesdropping on a two-way Alice-to-Bob-to-Alice communication protocol, in which the eavesdropper, Eve, merely listens to Alice and Bob's transmissions. This thesis extends that work in several ways. First, it derives a lower bound on information advantage that Alice enjoys over Eve in the passive eavesdropping scenario. Next, it explores the performance of alternative practical receivers for Alice, as well as various high-order modulation formats for the passive eavesdropping case. Finally, this thesis extends previous analysis to consider how Alice and Bob can minimize their vulnerability to Eve's doing active eavesdropping, i.e., when she injects her own light into the channel.

Related papers

Defeating Active Eavesdropping with Quantum Illumination

Wenbang Xu, Jeffrey H. Shapiro, Timothy C. Ralph +1 more

Quantum illumination is a paradigm for using entanglement to gain a performance advantage—in comparison with classical‐state systems of the same optical power—over lossy, noisy channels that destroy entanglement. Previous work has shown how it can be used to defeat passive eavesdropping on a two‐way Alice‐to‐Bob‐to‐Alice communication protocol, in which the eavesdropper, Eve, merely listens to Alice and Bob’s transmissions. This paper extends that analysis to consider how Alice and Bob can minimize their vulnerability to Eve’s doing active eavesdropping, i.e., when she injects her own light into the channel.

AIP conference proceedings•Jan 1, 2011•6 citations

Defeating passive eavesdropping with quantum illumination

Jeffrey H. Shapiro

A two-way protocol for defeating passive eavesdropping is proposed. For each information bit, Alice sends Bob $T$ sec of signal-beam output from a spontaneous parametric down-converter over a pure-loss channel while retaining the idler beam with which it is maximally entangled. Bob imposes a single information bit on the light he receives from Alice via binary phase-shift keying. He then amplifies the modulated beam and sends the resulting light back to Alice over the same pure-loss channel. Even though the loss and amplifier noise destroy any entanglement between the light that Alice receives from Bob and the idler she has retained, she can decode Bob's bit with an error probability that can be orders of magnitude lower than what is achieved by a passive eavesdropper who receives all the photons that are lost en route from Alice to Bob and from Bob to Alice. In particular, Alice and Bob can communicate at 50 Mbit/s over 50 km of low-loss fiber with an error probability of less than ${10}^{\ensuremath{-}6}$ while the passive eavesdropper's error probability must exceed 0.28.

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A new paradigm for secure communication, based on quantum illumination, is proposed. Alice uses spontaneous parametric down-conversion to send Bob a set of signal modes over a pure-loss channel while retaining the set of idler modes with which they are maximally entangled. Bob imposes a single information bit on the modes he receives from Alice via binary phase-shift keying. He then adds classical Gaussian noise and sends the noisy modulated modes back to Alice over the same pure-loss channel. Even though the loss and noise destroy any entanglement between the modes that Alice receives from Bob and the idler modes she has retained, she can decode Bob's bit with an error probability that can be orders of magnitude lower than what is achieved by a passive eavesdropper who receives all the photons that are lost en route from Alice to Bob and from Bob to Alice.

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Abstract: We report the first experimental demonstration of an entanglement-based secure communication protocol that is resilient to entanglement-breaking loss and noise on the communication channel. Passive eavesdropping immunity is demonstrated in bit-error rate measurements and Alice’s information advantage over Eve is estimated. Entanglement is a key ingredient to many quantum information applications, but quantum decoherence arising from loss and noise easily destroys entanglement. Quantum illumination (QI) [1]–[3] is a novel concept of utilizing entanglement in an entanglement-breaking lossy and noisy environment to achieve a substantial performance benefit. First proposed for enhancing the signalto-noise ratio for detecting a weakly-reflecting target in the presence of strong background noise [1], quantum illumination was later shown, theoretically, to enable high data-rate classical communication that is immune to passive eavesdropping [3]. In this work we report the first experimental demonstration of the QI communication protocol [4], showing a strong performance benefit of using bosonic entanglement over an entanglement-breaking channel and QI’s passive-eavesdropping immunity. Quantum illumination achieves a substantial benefit from its initial entanglement, despite the roundtrip lossy, noisy propagation channel’s having left the retained and returned light

•Jan 1, 2013•0 citations

Defeating Passive Eavesdropping with Quantum Illumination

Jeffrey H. Shapiro

Quantum illumination permits Alice and Bob to communicate at 50 Mbit/s over 50 km of low-loss fiber with error probability less than 10−6 while the optimum passive eavesdropper’s error probability must exceed 0.28.

Frontiers in Optics•Jan 1, 2009•11 citations

Quantum communication via noisy channels

Z. Shadman

Quantum communication is at the heart of the quantum information theory. We study two types of quantum communication protocols over noisy transmission channels, i.e. super dense coding and cryptography protocols. In the first part of this thesis, for various scenarios, it is discussed how the super dense coding capacity is influenced by noisy quantum channels. The case of memoryless channels as well as those channels with memory which are modelled by uncorrelated and correlated noise, respectively, are considered. Explicitly Pauli channels over arbitrary dimensions are treated and the super dense coding capacity for some resource states is derived. For the qubit depolarizing channel, when noise is uncorrelated, the super dense coding capacity with respect to the input state is also optimized. This illustrates a threshold value of the noise parameter below which the super dense coding capacity is optimized by a maximally entangled initial state, while above the threshold value the super dense coding capacity is optimized by a product state. For Pauli channels, with correlated noise, the case of non unitary encoding is studied and the super dense coding capacity is derived. The first part of this thesis is concluded with an example for multipartite super dense coding. In the second part of the thesis, the problem of optimal eavesdropping on noisy states in quantum key distribution is investigated. The case of the six state protocol, when the signal states are mixed with white noise, is considered. This situation may arise either when Alice deliberately adds noise to the signal states before they leave her lab, or, in a realistic scenario when the eavesdropper (referred to as Eve) is not assumed to replace the noisy quantum channel by a noiseless one. For individual attacks, we find Eve's optimal mutual information with Alice as a function of the quantum bit error rate. Finally, the results illustrate that adding noise on the quantum level can make quantum key distribution more robust against eavesdropping.

•Jan 1, 2011•0 citations
Quantum illumination is a paradigm for using entanglement to gain a performance advantage-in comparison with classical-state systems of the same optical power-over lossy, noisy channels that destroy entanglement. Previous work has shown how it can be used to defeat passive eavesdropping on a two-way Alice-to-Bob-to-Alice communication protocol, in which the eavesdropper, Eve, merely listens to Alice and Bob's transmissions. This thesis extends that work in several ways. First, it derives a lower bound on information advantage that Alice enjoys over Eve in the passive eavesdropping scenario. Next, it explores the performance of alternative practical receivers for Alice, as well as various high-order modulation formats for the passive eavesdropping case. Finally, this thesis extends previous analysis to consider how Alice and Bob can minimize their vulnerability to Eve's doing active eavesdropping, i.e., when she injects her own light into the channel.
Quantum illumination is a paradigm for using entanglement to gain a performance advantage—in comparison with classical‐state systems of the same optical power—over lossy, noisy channels that destroy entanglement. Previous work has shown how it can be used to defeat passive eavesdropping on a two‐way Alice‐to‐Bob‐to‐Alice communication protocol, in which the eavesdropper, Eve, merely listens to Alice and Bob’s transmissions. This paper extends that analysis to consider how Alice and Bob can minimize their vulnerability to Eve’s doing active eavesdropping, i.e., when she injects her own light into the channel.
A two-way protocol for defeating passive eavesdropping is proposed. For each information bit, Alice sends Bob TTT sec of signal-beam output from a spontaneous parametric down-converter over a pure-loss channel while retaining the idler beam with which it is maximally entangled. Bob imposes a single information bit on the light he receives from Alice via binary phase-shift keying. He then amplifies the modulated beam and sends the resulting light back to Alice over the same pure-loss channel. Even though the loss and amplifier noise destroy any entanglement between the light that Alice receives from Bob and the idler she has retained, she can decode Bob's bit with an error probability that can be orders of magnitude lower than what is achieved by a passive eavesdropper who receives all the photons that are lost en route from Alice to Bob and from Bob to Alice. In particular, Alice and Bob can communicate at 50 Mbit/s over 50 km of low-loss fiber with an error probability of less than ${10}^{\ensuremath{-}6}$ while the passive eavesdropper's error probability must exceed 0.28.
A new paradigm for secure communication, based on quantum illumination, is proposed. Alice uses spontaneous parametric down-conversion to send Bob a set of signal modes over a pure-loss channel while retaining the set of idler modes with which they are maximally entangled. Bob imposes a single information bit on the modes he receives from Alice via binary phase-shift keying. He then adds classical Gaussian noise and sends the noisy modulated modes back to Alice over the same pure-loss channel. Even though the loss and noise destroy any entanglement between the modes that Alice receives from Bob and the idler modes she has retained, she can decode Bob's bit with an error probability that can be orders of magnitude lower than what is achieved by a passive eavesdropper who receives all the photons that are lost en route from Alice to Bob and from Bob to Alice.
Abstract: We report the first experimental demonstration of an entanglement-based secure communication protocol that is resilient to entanglement-breaking loss and noise on the communication channel. Passive eavesdropping immunity is demonstrated in bit-error rate measurements and Alice’s information advantage over Eve is estimated. Entanglement is a key ingredient to many quantum information applications, but quantum decoherence arising from loss and noise easily destroys entanglement. Quantum illumination (QI) [1]–[3] is a novel concept of utilizing entanglement in an entanglement-breaking lossy and noisy environment to achieve a substantial performance benefit. First proposed for enhancing the signalto-noise ratio for detecting a weakly-reflecting target in the presence of strong background noise [1], quantum illumination was later shown, theoretically, to enable high data-rate classical communication that is immune to passive eavesdropping [3]. In this work we report the first experimental demonstration of the QI communication protocol [4], showing a strong performance benefit of using bosonic entanglement over an entanglement-breaking channel and QI’s passive-eavesdropping immunity. Quantum illumination achieves a substantial benefit from its initial entanglement, despite the roundtrip lossy, noisy propagation channel’s having left the retained and returned light
Quantum communication is at the heart of the quantum information theory. We study two types of quantum communication protocols over noisy transmission channels, i.e. super dense coding and cryptography protocols. In the first part of this thesis, for various scenarios, it is discussed how the super dense coding capacity is influenced by noisy quantum channels. The case of memoryless channels as well as those channels with memory which are modelled by uncorrelated and correlated noise, respectively, are considered. Explicitly Pauli channels over arbitrary dimensions are treated and the super dense coding capacity for some resource states is derived. For the qubit depolarizing channel, when noise is uncorrelated, the super dense coding capacity with respect to the input state is also optimized. This illustrates a threshold value of the noise parameter below which the super dense coding capacity is optimized by a maximally entangled initial state, while above the threshold value the super dense coding capacity is optimized by a product state. For Pauli channels, with correlated noise, the case of non unitary encoding is studied and the super dense coding capacity is derived. The first part of this thesis is concluded with an example for multipartite super dense coding. In the second part of the thesis, the problem of optimal eavesdropping on noisy states in quantum key distribution is investigated. The case of the six state protocol, when the signal states are mixed with white noise, is considered. This situation may arise either when Alice deliberately adds noise to the signal states before they leave her lab, or, in a realistic scenario when the eavesdropper (referred to as Eve) is not assumed to replace the noisy quantum channel by a noiseless one. For individual attacks, we find Eve's optimal mutual information with Alice as a function of the quantum bit error rate. Finally, the results illustrate that adding noise on the quantum level can make quantum key distribution more robust against eavesdropping.