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IEEE Conference on Decision and Control (CDC)

Equalization for linear quantum channels

Yi Li, M. R. James

Published Dec 1, 2017• 1 citation
Publisher

Abstract

In order to compensate the distortion of communication channels, various equalization methodologies and algorithms have been proposed and practically applied in both wire and wireless communication. In order to employ the characteristics of quantum mechanics to improve communication efficiency and reliability, quantum states need to be recovered from the distortion of channels. This project proposes a novel structure which can be used to compensate quantum channel distortion. This structure could be implemented with quantum optical components.

DOI
10.1109/cdc.2017.8264588

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In order to compensate the distortion of communication channels, various equalization methodologies and algorithms have been proposed and practically applied in both wire and wireless communication. In order to employ the characteristics of quantum mechanics to improve communication efficiency and reliability, quantum states need to be recovered from the distortion of channels. This project proposes a novel structure which can be used to compensate quantum channel distortion. This structure could be implemented with quantum optical components.
Quantum communication holds the promise of achieving long-distance secure message transmission by exploiting quantum entanglement between remote locations. Quantum repeaters are indispensable to the realization of quantum networks for long-distance quantum communication. Similar to its classical analogue, a good quantum repeater should be able to compensate channel attenuation with a quantum amplifier, and to combat channel distortion through a quantum equaliser. This quantum repeater should also operate by an efficient and robust protocol. The first part of this project researches the continuous mode operation of a noiseless linear amplifier (NLA). We develop a dynamical model to describe the operation of the nondeterministic NLA in the regime of continuous-mode inputs. Both the quantum scissor based NLA and the photon addition-subtraction based NLA are analysed. Simulation results are also presented to confirm theoretical analysis. The second part proposes two quantum protocols. An atomic ensemble based quantum protocol is developed to generate distributed W-states. These generated distributed W-states could be considered as an entanglement resource between more than two distant nodes and would be useful in quantum communication and distributed quantum computation in the future. We also propose a protocol by which quantum key distribution can be achieved deterministically between multiple nodes.This deterministic quantum key distribution scheme may be used to guarantee secure communication for wireless sensor networks and Internet of Things. The last project analyses distortion of quantum channels and develops physically realisable modules to combat it. The minimum phase channel and non-minimum phase all pass channel are discussed separately.
To solve the problem of poor reciprocity and redundancy of channel characteristic measurements in secret key generation systems based on wireless channel characteristics, a preprocessing algorithm based on principal component analysis and a new type of hardware fingerprint difference compensation algorithm are proposed. By comparing the changes in the consistency and randomness of the channel state information of the legal communication parties in various test scenarios, it is proved that the algorithm proposed in this paper can effectively improve the channel reciprocity and randomness of key generation.
Abstract The results of examination of the effect of ac magnetic fields on a multi-core fiber and the induced polarization distortions of signals propagating through different fiber cores are reported. A strong cross correlation of polarization distortions in different cores of a multi-core fiber is established. An approach is proposed for compensating rapid and chaotic changes in the polarization states of single photons induced by electromagnetic fields on a multi-core fiber telecommunication cable. The proposed approach is based on measuring polarization distortions of a classical communication channel in one of the multi-core fiber cores and compensating for these distortions in a quantum channel within the time interval established using a delay line through which the multi-core fiber cores with implemented quantum communication channels are connected. The need for careful stabilization of the characteristics of a polarization distortion compensation system, which will be connected immediately after mating the multi-core fiber with a conventional single-mode fiber (at constant temperature and without strong external fields) is demonstrated.
We propose a method to design a suboptimal, coherent quantum LQG controller to solve a quantum equalization problem. Our method involves reformulating the problem as a control problem and then designing a classical LQG controller and implementing it as a quantum system. Illustrative examples are included which demonstrate the algorithm for both active and passive systems, i.e., systems where the dynamics are described in terms of both position and momentum operators and systems with dynamics in terms of annihilation operators only.