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Optica Advanced Photonics Congress

Compensation of linear inter-mode cross talk in multiplexed continuous-variable quantum communication

Vladyslav C. Usenko, Olena Kovalenko, Radim Filip

Published Jan 1, 2022• 0 citations
Publisher

Abstract

We analyze degradation of multimode entanglement and quantum key distribution in the presence of cross talk. As countermeasures we suggest optimization of initial entangled resource or cross talk compensation by additional coupling between the modes.
DOI
10.1364/sppcom.2022.spw2j.3

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We address the role of linear inter-mode cross talk in continuous-variable quantum key distribution in the most typical prepare-and-measure scenario. Considering coherent and well as squeezed signal states and either homodyne or heterodyne detection in the receiver station, we show how the cross talk deteriorates the secret key rate and robustness of the protocols to the channel noise. We show how optimization of the signal modulation can improve the performance of the protocols in the presence of cross talk and point out possibilities for further cross talk compensation.
A multimode channel can be utilized to substantially increase the capacity of quantum continuous-variable key distribution. Beyond losses in the channel, an uncontrollable coupling between the modes of the channel typically degrades the capacity of multimode channels. For the key distribution protocol with simultaneous measurement of both complementary quadratures we propose a feasible method to eliminate any undesirable mode coupling by only the receiver's appropriate measurement and data manipulation. It can be used to substantially increase the capacity of the channel, which has an important application in practical continuous-variable quantum cryptography.
We address the challenge of crosstalk in quantum multiplexing–an obstacle to scaling throughput in quantum communication networks. Crosstalk arises when physically coupled quantum modes interfere, degrading signal fidelity. We propose a mitigation strategy based on encoding discrete-variable (DV) quantum information into continuous-variable (CV) bosonic modes using Gottesman-Kitaev-Preskill (GKP) codes. By analyzing the effect of mode-mixing interference, we show that under specific noise strength conditions, the interaction can be absorbed into a gauge subsystem that leaves the logical content intact. We provide rigorous conditions for perfect transmission in the ideal case, derive the structure of the output codes and prove the existence of a gauge-fixing decoder enabling recovery of the logical information. Numerical simulations under displacement Gaussian noise illustrate the fidelity behavior and rate-fidelity tradeoff. Our results establish a coding-theoretic foundation for crosstalk-resilient multiplexing in quantum networks.
A major challenge of today's quantum communication systems lies in the transmission of quantum information with high rates over long distances in the presence of unavoidable losses. Thereby the achievable quantum communication rate is fundamentally limited by the amount of energy that can be transmitted per use of the channel. It is hence vital to develop quantum communication protocols which encode quantum information as energy efficiently as possible. To this aim we investigate continuous-variable quantum teleportation as a method of distributing quantum information. We explore the possibility to encode information on multiple optical modes and derive upper and lower bounds on the achievable quantum channel capacities. This analysis enables us to benchmark single-mode vs. multi-mode entanglement resources. Our research reveals that multiplexing does not only feature an enhanced energy efficiency, significantly increasing the achievable quantum communication rates in comparison to single- mode coding, but also yields an improved loss resilience. However as quantum information transfer is only achieved for entanglement values above a certain threshold a careful optimization of the number of coding modes is needed to obtain the optimal quantum channel capacity.