An engineer's brief introduction to microwave quantum optics and a\n single-port state-space representation

Le résumé fourni par la source

Classical microwave circuit theory is incapable of representing some\nphenomena at the quantum level. To include quantum statistical effects when\ntreating microwave networks, various theoretical treatments can be employed\nsuch as quantum input-output network (QION) theory and SLH theory. However,\nthese require a reformulation of classical microwave theory. To make these\ntopics comprehensible to an electrical engineer, we demonstrate some\nunderpinnings of microwave quantum optics in terms of microwave engineering.\nFor instance, we equate traveling-wave phasors in a transmission line ($V_0^+$)\ndirectly to bosonic field operators. Furthermore, we extend QION to include a\nstate-space representation and a transfer function for a single port quantum\nnetwork. This serves as a case study to highlight how microwave methodologies\ncan be applied in open quantum systems. Although the same conclusion could be\nfound from a full SLH theory treatment, our method was derived directly from\nfirst principles of QION.\n

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