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IEEE Wireless Communications

Experimental Covert Communication Over Metropolitan Fibre Optical Links

Yang Liu, Juan Miguel Arrazola, Wen‐Zhao Liu, Weijun Zhang, Ignatius William Primaatmaja, Hao Li, Lixing You, Zhen Wang, Qiang Zhang, Jian-Wei Pan

Published Aug 1, 2024• 5 citations
Publisher

Abstract

Covert communication offers a method to transmit messages in such a way that the communication is undetected. Yet, unconditional secure covert communication has not yet been achieved. In this work, we report an experimental demonstration of covert communication that is provably secure against quantum adversaries. We deploy the protocol in a dense wavelength-division multiplexing infrastructure, where our system coexists with a co-propagating C-band classical channel over 10 km of optical fiber. The noise from the classical channel, generally a negative factor in quantum communication, allows us to perform covert quantum communication in a neighboring channel. We report the transmission of three different messages with varying levels of security. Our results demonstrate the feasibility of secure covert communication in a practical setting, which shall find immediate application in optical communication.

DOI
10.1109/mwc.003.2300323

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Covert communication offers a method to transmit messages in such a way that the communication is undetected. Yet, unconditional secure covert communication has not yet been achieved. In this work, we report an experimental demonstration of covert communication that is provably secure against quantum adversaries. We deploy the protocol in a dense wavelength-division multiplexing infrastructure, where our system coexists with a co-propagating C-band classical channel over 10 km of optical fiber. The noise from the classical channel, generally a negative factor in quantum communication, allows us to perform covert quantum communication in a neighboring channel. We report the transmission of three different messages with varying levels of security. Our results demonstrate the feasibility of secure covert communication in a practical setting, which shall find immediate application in optical communication.
Covert communication offers a method to transmit messages in such a way that it is not possible to detect that the communication is happening at all. In this work, we report an experimental demonstration of covert communication that is provably secure against unbounded quantum adversaries. The covert communication is carried out over 10 km of optical fiber, addressing the challenges associated with transmission over metropolitan distances. We deploy the protocol in a dense wavelength-division multiplexing infrastructure, where our system has to coexist with a co-propagating C-band classical channel. The noise from the classical channel allows us to perform covert communication in a neighbouring channel. We perform an optimization of all protocol parameters and report the transmission of three different messages with varying levels of security. Our results showcase the feasibility of secure covert communication in a practical setting, with several possible future improvements from both theory and experiment.
Computational encryption, information-theoretic secrecy and quantum cryptography offer progressively stronger security against unauthorized decoding of messages contained in communication transmissions. However, these approaches do not ensure stealth--that the mere presence of message-bearing transmissions be undetectable. We characterize the ultimate limit of how much data can be reliably and covertly communicated over the lossy thermal-noise bosonic channel (which models various practical communication channels). We show that whenever there is some channel noise that cannot in principle be controlled by an otherwise arbitrarily powerful adversary--for example, thermal noise from blackbody radiation--the number of reliably transmissible covert bits is at most proportional to the square root of the number of orthogonal modes (the time-bandwidth product) available in the transmission interval. We demonstrate this in a proof-of-principle experiment. Our result paves the way to realizing communications that are kept covert from an all-powerful quantum adversary.
Covert quantum communication is usually analyzed under idealized assumptions that channel parameters, such as transmissivity and background noise, are perfectly known and constant. In realistic optical links, including satellite, fiber, and free-space systems, these parameters vary because of environmental fluctuations, calibration noise, and estimation errors. We study covert quantum communication over compound quantum optical channels with bounded uncertainty in both transmissivity and thermal noise, and derive guarantees that hold for all admissible channel realizations. We develop a robust framework for certifying both covertness and reliability under uncertainty. A central finding is that robustness cannot be obtained by simply inserting worst-case parameter values into known-channel bounds: the channel realizations that are most adverse for covertness and reliability generally occur at different corners of the uncertainty set. This creates a fundamental trade-off in secure system design. We derive a closed-form lower bound on the worst-case guaranteed number of covert qubits that can be transmitted reliably, identify a sharp feasibility boundary beyond which the guaranteed payload drops to zero, and quantify the security penalty caused by uncertainty. We validate the covertness term with QuTiP simulations of a four-mode bosonic model and combine it with an analytical reliability bound to evaluate the robust payload. Our results move covert quantum communication from nominal perfect-knowledge analysis to certified worst-case operation under uncertainty.
We explore covert communication of qubits over the lossy thermal-noise bosonic channel, which is a quantum-mechanical model of many practical channels, including optical. Covert communication ensures that an adversary is unable to detect the presence of transmissions, which are concealed in channel noise. We show a \emph{square root law} (SRL) for quantum covert communication similar to that for classical: ∝n\propto\sqrt{n}∝n​ qubits can be transmitted covertly and reliably over nnn uses of an optical channel. Our achievability proof uses photonic dual-rail qubit encoding, which has been proposed for long-range repeater-based quantum communication and entanglement distribution. Our converse employs prior covert signal power limit results and adapts well-known methods to upper bound quantum capacity of optical channels. Finally, we believe that the gap between our lower and upper bounds for the number of reliable covert qubits can be mitigated by improving the quantum error correction codes and quantum channel capacity bounds.
Optical communication networks are easy to be eavesdropped by attackers, and traditional encryption algorithms have become more and more difficult to ensure the security of information transmission. Different from the traditional encryption algorithm, optical covert communication processes the signal at the physical layer, and improves the security and reliability of the system by hiding the optical signal in the public channel. Based on a typical microwave photonic filter, an optical covert communication scheme is proposed. On the one hand, the microwave photonic filter makes the scheme imperceptible. On the other hand, the randomness of complementary coding makes the scheme confidential. The feasibility of the scheme is analyzed theoretically, and the experimental results show that the covert channel is successfully transmitted over 50 km single-mode fiber.
We explore covert communication of qubits over an arbitrary quantum channel. Covert communication conceals the transmissions in the channel noise, ensuring that an adversary is unable to detect their presence. We show the achievability of a square root law (SRL) for quantum covert communication similar to that for classical:M(n)nM(n) \sqrt{n}M(n)n​qubits can be transmitted covertly and reliably overnnnuses of a general quantum channel. We lower boundM(n)M (n)M(n)with and without assistance from a two-way covert classical channel. In the former case, we quantify the number of classical covert bits sufficient for our protocol.