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Physical Review A

Deterministic single-phonon-to-photon quantum transducer for distributed quantum networks

Zhengyi Yue, Tao Li, Zhenhua Li, Keyu Xia

Published Feb 20, 2025• 0 citations
Publisher

Abstract

Quantum transducers are essential for connecting hybrid quantum systems with distinct frequencies, pivotal for hybrid quantum networks. A deterministic quantum transducer protocol is proposed for the upconversion of single phonons in the microwave domain to optical photons. Utilizing a hybrid optomechanical crystal coupled to a three-level emitter, the protocol deterministically upconverts an itinerant phonon into an optical photon, when an auxiliary optical cavity mode is driven by a single photon. Furthermore, the deterministic upconversion transducer can also be achieved by driving the emitter with a classical laser pulse, rather than driving the optical cavity with a single photon. The intracavity photon numbers in both protocols are significantly less than one during the operation, thus overcoming the problem of parasitic heating within radiation-pressure coupling of hybrid optomechanical systems. These outstanding features make the protocols particularly useful for the realization of large-scale distributed hybrid quantum networks.

DOI
10.1103/physreva.111.022623

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Quantum transducers are essential for connecting hybrid quantum systems with distinct frequencies, pivotal for hybrid quantum networks. A deterministic quantum transducer protocol is proposed for the upconversion of single phonons in the microwave domain to optical photons. Utilizing a hybrid optomechanical crystal coupled to a three-level emitter, the protocol deterministically upconverts an itinerant phonon into an optical photon, when an auxiliary optical cavity mode is driven by a single photon. Furthermore, the deterministic upconversion transducer can also be achieved by driving the emitter with a classical laser pulse, rather than driving the optical cavity with a single photon. The intracavity photon numbers in both protocols are significantly less than one during the operation, thus overcoming the problem of parasitic heating within radiation-pressure coupling of hybrid optomechanical systems. These outstanding features make the protocols particularly useful for the realization of large-scale distributed hybrid quantum networks.
Two-way microwave-optical quantum transduction is essential to connecting distant superconducting qubits via optical fiber and to enable quantum networking at a large scale. In Blésin, Tian, Bhave, and Kippenberg's article [], they lay out a two-way quantum transducer converting between microwave photons and telecom-band photons by way of an intermediary gigahertz-band phonon mode utilizing piezoelectric and optomechanical interactions respectively (and are the first to work out the quantum piezoelectric coupling). In this work, we examine both the piezoelectric, and optomechanical interactions from first principles, and together with the evanescent coupling between optical modes, discuss what parameters matter most in optimizing this kind of quantum transducer. For its additional utility, we have also compiled a table of relevant properties of optical materials that may be used as elements in transducers.
A sequence of single photons is emitted on demand from a single three-level atom strongly coupled to a high-finesse optical cavity. The photons are generated by an adiabatically driven stimulated Raman transition between two atomic ground states, with the vacuum field of the cavity stimulating one branch of the transition, and laser pulses deterministically driving the other branch. This process is unitary and therefore intrinsically reversible, which is essential for quantum communication and networking, and the photons should be appropriate for all-optical quantum information processing.
Optical quantum networks provide a natural route for connecting distant superconducting quantum processors, enabling distributed quantum computation, sensing, and communication. Piezo-optomechanical transducers are among the leading candidates for scalable microwave-to-optical quantum interfaces. However, prior one-dimensional piezo-optomechanical transducers remain limited by optical-absorption-induced heating and the resulting thermal noise. Two-dimensional optomechanical crystals offer substantially improved thermalization from better thermal anchoring, but their structural complexity has so far hindered the realization of a fully integrated two-dimensional transducer. Here, we overcome this challenge with a new design strategy based on band structure engineering. We fabricate the devices and experimentally characterize the response, measuring an electromechanical damping rate of 4.6 kHz at room temperature and electromechanical coupling rate of 0.17 MHz by wire-bonding to a multi-mode microwave resonator at 10 mK. Bidirectional transduction is performed with a calibrated internal efficiency of 0.85\% in the continuous-wave operation, alongside pulsed photon-phonon pair generation near its quantum ground state. Our results represent a significant step toward high-efficiency and low-noise transducers for entangling remote superconducting qubits.
Piezoelectric optomechanical platforms represent one of the most promising routes toward achieving quantum transduction of photons between the microwave and optical frequency domains. However, there are significant challenges to achieving near-unity transduction efficiency. The authors discuss such factors in the context of the two main approaches being pursued for high efficiency transduction. The first approach uses 1D nanobeam optomechanical crystals excited by interdigitated transducers and is characterized by large single-photon optomechanical coupling strength, limited intracavity pump photon population to avoid absorption-induced heating (at cryogenic temperature), and low phonon injection efficiency from the transducer to the optomechanical cavity. The second approach uses (quasi) bulk acoustic wave resonators integrated into photonic Fabry–Perot cavity geometries and is characterized by low single-photon optomechanical coupling strength, high intracavity pump photon population without significant heating, and high phonon injection efficiency. After reviewing the current status of both approaches, the need for co-designing the electromechanical and optomechanical sub-systems is discussed in order to achieve high transduction efficiencies, taking the GaAs piezo-optomechanical platform as an example.
Coherent transduction of quantum states from the microwave to the optical domain can play a key role in quantum networking and distributed quantum computing. We present the design of a piezo-optomechanical device formed in a hybrid lithium niobate on silicon platform, that is suitable for microwave-to-optical quantum transduction. Our design is based on acoustic hybridization of an ultra-low mode volume piezoacoustic cavity with an optomechanical crystal cavity. The strong piezoelectric nature of lithium niobate allows us to mediate transduction via an acoustic mode which only minimally interacts with the lithium niobate, and is predominantly silicon-like, with very low electrical and acoustic loss. We estimate that this transducer can realize an intrinsic conversion efficiency of up to 35% with <0.5 added noise quanta when resonantly coupled to a superconducting transmon qubit and operated in pulsed mode at 10 kHz repetition rate. The performance improvement gained in such hybrid lithium niobate-silicon transducers make them suitable for heralded entanglement of qubits between superconducting quantum processors connected by optical fiber links.
A quantum network that distributes and processes entanglement would enable powerful new computers and sensors. Optical photons with a frequency of a few hundred terahertz are perhaps the only way to distribute quantum information over long distances. Superconducting qubits on the other hand, which are one of the most promising approaches for realizing large-scale quantum machines, operate naturally on microwave photons that have roughly 40,00040,00040,000 times less energy. To network these quantum machines across appreciable distances, we must bridge this frequency gap and learn how to generate entanglement across widely disparate parts of the electromagnetic spectrum. Here we implement and demonstrate a transducer device that can generate entanglement between optical and microwave photons, and use it to show that by detecting an optical photon we add a single photon to the microwave field. We achieve this by using a gigahertz nanomechanical resonance as an intermediary, and efficiently coupling it to optical and microwave channels through strong optomechanical and piezoelectric interactions. We show continuous operation of the transducer with 5%5\%5% frequency conversion efficiency, and pulsed microwave photon generation at a heralding rate of 151515 hertz. Optical absorption in the device generates thermal noise of less than two microwave photons. Joint measurements on optical photons from a pair of transducers would realize entanglement generation between distant microwave-frequency quantum nodes. Improvements of the system efficiency and device performance, necessary to realize a high rate of entanglement generation in such networks are within reach.