Abstract
We describe the creation of nonclassical states of microwave radiation via ideal dichotomic single photon detection, i.e., a detector that only indicates presence or absence of photons. Ideally, such a detector has a back action in the form of the subtraction operator (bare lowering operator). Using the non-linearity of this back action, it is possible to create a large family of nonclassical states of microwave radiation, including squeezed and multi-component cat states, starting from a coherent state. We discuss the applicability of this protocol to current experimental designs of Josephson photomultipliers.
Highlights
The generation of nonclassical states of radiation is an important test of the foundations of quantum mechanics and a necessary precursor to implementing quantum communication and computation protocols in many architectures [1,2,3]
In this paper we present a novel way to generate a family of nonclassical states of microwave radiation in a long wavelength transmission line using only detection by an ideal binary detector, such as the Josephson Photomultiplier (JPM)
In regards to experimental implementation of this protocol with JPMs, superconducting microwave resonators are currently fabricated with Q-factors approaching 107, which in the microwave regime will lead to cavity lifetimes on the order of 105ns [27]
Summary
The generation of nonclassical states of radiation is an important test of the foundations of quantum mechanics and a necessary precursor to implementing quantum communication and computation protocols in many architectures [1,2,3]. In this paper we present a novel way to generate a family of nonclassical states of microwave radiation in a long wavelength transmission line using only detection by an ideal binary detector, such as the Josephson Photomultiplier (JPM). In the microwave regime of cavity-QED/circuit-QED squeezed states [13,14,15] and cat-like states [16, 17] of microwave radiation have been generated by the Kerr interaction between a cavity/transmission line and coupled atoms/superconducting qubits. Multi-component cat states have been produced in circuit-QED using a gate-based construction [9, 10] We show how these nonclassical states can be created in circuit-QED by a measurement based protocol, and add a new class of nonclassical states to the list, the generalized squeezed states, which so far have only been proposed in theory [18, 19]. The JPM can be seen in this regime as an ideal dichtomic detector, providing information about the presence or absence of photons but not revealing their number beyond that
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