Wiener Filtering for Passive Linear Quantum Systems | IEEE Conference Publication | IEEE Xplore

Wiener Filtering for Passive Linear Quantum Systems


Abstract:

This paper considers a version of the Wiener filtering problem for equalization of passive linear quantum systems. We demonstrate that taking into consideration the quant...Show More

Abstract:

This paper considers a version of the Wiener filtering problem for equalization of passive linear quantum systems. We demonstrate that taking into consideration the quantum nature of the signals involved leads to features typically not encountered in classical equalization problems. Most significantly, finding a mean-square optimal quantum equalizing filter amounts to solving a nonconvex constrained optimization problem. We discuss two approaches to solving this problem, both involving a relaxation of the constraint. In both cases, unlike classical equalization, there is a threshold on the variance of the noise below which an improvement of the mean-square error cannot be guaranteed.
Date of Conference: 10-12 July 2019
Date Added to IEEE Xplore: 29 August 2019
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Conference Location: Philadelphia, PA, USA

I. Introduction

The task of transferring quantum information differs significantly from its classical (non-quantum) counterpart, since the laws of quantum mechanics limit the accuracy of information transfer through quantum channels. Specifically, the signal-to-noise ratio of possible quantum measurements on the transmission line is limited [4], reflecting the well known fact that a quantum state cannot be cloned at the remote location. This motivates a great interest in developing systematic methodologies for the design of optimally performing quantum communication systems.

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References

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