English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper is concerned with infinite-horizon growth rates ofquadratic-exponential functionals (QEFs) for linear quantum stochastic systemsdriven by multichannel bosonic fields. Such risk-sensitive performance criteriaimpose an exponential penalty on the integral of a quadratic function of thesystem variables, and their minimization improves robustness properties of thesystem with respect to quantum statistical uncertainties and makes itsbehaviour more conservative in terms of tail distributions. We use afrequency-domain representation of the QEF growth rate for the invariantGaussian quantum state of the system with vacuum input fields in order tocompute it in state space. The QEF rate is related to a similar functional fora classical stationary Gaussian random process generated by an infinite cascadeof linear systems. A truncation of this shaping filter allows the QEF rate tobe computed with any accuracy by solving a recurrent sequence of algebraicLyapunov equations together with an algebraic Riccati equation. The state-spacecomputation of the QEF rate and its comparison with the frequency-domainresults are demonstrated by a numerical example for an open quantum harmonicoscillator.

State-space computation of quadratic-exponential functional rates for linear quantum stochastic systems