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The paper considers the problem of equalization of passive linear quantumsystems. While our previous work was concerned with the analysis and synthesisof passive equalizers, in this paper we analyze coherent quantum equalizerswhose annihilation (respectively, creation) operator dynamics in the Heisenbergpicture are driven by both quadratures of the channel output field. We showthat the characteristics of the input field must be taken into considerationwhen choosing the type of the equalizing filter. In particular, we show thatfor thermal fields allowing the filter to process both quadratures of thechannel output may not improve mean square accuracy of the input fieldestimate, in comparison with passive filters. This situation changes when theinput field is `squeezed'.

Active versus Passive Coherent Equalization of Passive Linear Quantum Systems