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Nature Physics

Hybrid entanglement and bit-flip error correction in a scalable quantum network node

Xiuying Chang, Pan‐Yu Hou, Wengang Zhang, Xiang-Qian Meng, Ye-Fei Yu, Ya-Nan Lu, Yanqing Liu, B. Qi, Dong-Ling Deng, L.-M. Duan

Published Apr 1, 2025• 12 citations
Publisher

Abstract

Recent efforts have succeeded in producing quantum networks in which quantum information can be stored, transferred and processed across multiple nodes on a metropolitan scale. A key remaining challenge is to enhance the capabilities of individual nodes, providing precise and robust control over multiple qubits. Here we demonstrate coherent control in a hybrid quantum node based on a diamond colour centre. We entangle three types of qubit: an electron spin as an interface qubit, a nuclear spin with long memory time and a flying photonic qubit. These qubits’ frequencies span three distinct regimes, from the optical to the radio-frequency domain. By incorporating two additional nuclear spins, we encode three memory qubits into a logical state using a repetition code and entangle this logical qubit with a photonic qubit. We repeatedly read out the error syndromes of memory qubits using the electron interface qubit, then apply real-time feedback operations to correct bit-flip errors. We perform our protocol for up to 12 rounds and demonstrate an improvement in the logical–photonic joint state population compared with its uncorrected counterpart. Our results demonstrate the feasibility of several key functionalities required for quantum repeaters to operate in full-fledged quantum networks. Nodes in a quantum network must be able to interface with photonic qubits as well as perform local quantum computations. The quantum node device presented here is capable of storing quantum information and correcting bit-flip errors.

DOI
10.1038/s41567-025-02831-x

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Recent efforts have succeeded in producing quantum networks in which quantum information can be stored, transferred and processed across multiple nodes on a metropolitan scale. A key remaining challenge is to enhance the capabilities of individual nodes, providing precise and robust control over multiple qubits. Here we demonstrate coherent control in a hybrid quantum node based on a diamond colour centre. We entangle three types of qubit: an electron spin as an interface qubit, a nuclear spin with long memory time and a flying photonic qubit. These qubits’ frequencies span three distinct regimes, from the optical to the radio-frequency domain. By incorporating two additional nuclear spins, we encode three memory qubits into a logical state using a repetition code and entangle this logical qubit with a photonic qubit. We repeatedly read out the error syndromes of memory qubits using the electron interface qubit, then apply real-time feedback operations to correct bit-flip errors. We perform our protocol for up to 12 rounds and demonstrate an improvement in the logical–photonic joint state population compared with its uncorrected counterpart. Our results demonstrate the feasibility of several key functionalities required for quantum repeaters to operate in full-fledged quantum networks. Nodes in a quantum network must be able to interface with photonic qubits as well as perform local quantum computations. The quantum node device presented here is capable of storing quantum information and correcting bit-flip errors.
Recent breakthroughs have ushered the quantum network into a new era, where quantum information can be stored, transferred, and processed across multiple nodes on a metropolitan scale. A key challenge in this new era is enhancing the capabilities of individual nodes, providing precise and robust control over multiple qubits and advanced functionality for scalable quantum networks. Here, we report on precise and complex control in a hybrid quantum node based on a diamond color center. We demonstrate hybrid coherent control by entangling three types of qubits: an electron spin as an interface qubit, a nuclear spin with long memory time, and a flying photonic qubit, with their qubit frequencies spanning three distinct regimes from the optical domain to the rf domain. By incorporating two additional memory qubits, we encode three memory qubits into a logical state using the three-qubit repetition code and entangle this logical qubit with a photonic qubit. Leveraging hybrid qubits and precise control, we repeatedly read out the error syndromes of memory qubits through the electron spin, serving as an auxiliary qubit, then apply a real-time feedback operation to correct bit-flip errors. We execute and verify active error correction for up to twelve rounds and demonstrate the improvement over the uncorrected counterpart. Our results demonstrate the feasibility of several key functionalities for next-generation quantum repeaters, paving the way towards full-fledged metropolitan-scale quantum networks for a wide range of practical applications.
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Abstract A key challenge in realizing practical quantum networks for long-distance quantum communication involves robust entanglement between quantum memory nodes connected by fibre optical infrastructure1–3. Here we demonstrate a two-node quantum network composed of multi-qubit registers based on silicon-vacancy (SiV) centres in nanophotonic diamond cavities integrated with a telecommunication fibre network. Remote entanglement is generated by the cavity-enhanced interactions between the electron spin qubits of the SiVs and optical photons. Serial, heralded spin-photon entangling gate operations with time-bin qubits are used for robust entanglement of separated nodes. Long-lived nuclear spin qubits are used to provide second-long entanglement storage and integrated error detection. By integrating efficient bidirectional quantum frequency conversion of photonic communication qubits to telecommunication frequencies (1,350 nm), we demonstrate the entanglement of two nuclear spin memories through 40 km spools of low-loss fibre and a 35-km long fibre loop deployed in the Boston area urban environment, representing an enabling step towards practical quantum repeaters and large-scale quantum networks.
Single defect centers in diamond have emerged as a powerful platform for quantum optics experiments and quantum information processing tasks. Connecting spatially separated nodes via optical photons into a quantum network will enable distributed quantum computing and long-range quantum communication. Initial experiments on trapped atoms and ions as well as defects in diamond have demonstrated entanglement between two nodes over several meters. To realize multi-node networks, additional quantum bit systems that store quantum states while new entanglement links are established are highly desirable. Such memories allow for entanglement distillation, purification and quantum repeater protocols that extend the size, speed and distance of the network. However, to be effective, the memory must be robust against the entanglement generation protocol, which typically must be repeated many times. Here we evaluate the prospects of using carbon nuclear spins in diamond as quantum memories that are compatible with quantum networks based on single nitrogen vacancy (NV) defects in diamond. We present a theoretical framework to describe the dephasing of the nuclear spins under repeated generation of NV spin-photon entanglement and show that quantum states can be stored during hundreds of repetitions using typical experimental coupling parameters. This result demonstrates that nuclear spins with weak hyperfine couplings are promising quantum memories for quantum networks.
Quantum networks hold the potential to enable quantum-secured communication, distributed quantum computing, and non-local quantum sensing. To realize these applications, a versatile quantum network infrastructure must support entanglement between network nodes capable of storing, processing, and distributing quantum information, alongside high-fidelity photonic qubits that efficiently interface with these nodes. The silicon-vacancy (SiV) center in diamond, coupled to nanophotonic cavities, has recently emerged as a promising platform to meet these requirements. This system provides access to an electron spin as an optically active communication qubit and a 29Si nuclear spin as a memory qubit, capable of storing quantum information for extended periods. We first demonstrate that the SiV center's electron spin can efficiently generate single photons with complex spatiotemporal waveforms, facilitated by a novel asymmetric nanophotonic cavity design. We then establish a two-node quantum network between two SiV centers housed in separate laboratories and connected via optical fiber. To do so, we use photonic qubits to mediate entanglement between two spatially separated electron spins, as well as between two spatially separated nuclear spins. Finally, using bidirectional quantum frequency conversion, we convert the photonic qubits to telecommunication frequencies, enabling entanglement generation between the two nuclear spins via a 35 km fiber deployed in the Boston metropolitan area. These advancements mark progress toward large-scale, deployable quantum networks using SiV centers coupled to nanophotonic cavities.
Long-distance entanglement distribution requires error correction protocols to compensate for qubit decoherence in quantum memories and noise introduced during entanglement swapping. We argue that repeater chains with error-correction capabilities should exploit more than one physical platform, combining the complementary strengths of different quantum memory technologies into a single hybrid repeater architecture. An important constituent of such an architecture is a hybrid repeater which combines type-1 memories, characterized by fast entanglement generation rates and suitability for multiplexing, and type-2 memories that offer long coherence times and low two-qubit gate error rates. Taking the resource-intensive nature of hybrid nodes into account, we propose and analyze repeater chains in which only a subset of nodes need to be hybrid, while the remaining nodes are simpler first-generation repeaters with no error-correction capability. Through detailed Monte Carlo simulations of fault-tolerant encoded repeater chain protocols based on the three-qubit phase-flip repetition code, the [[7,1,3]][[7,1,3]][[7,1,3]] Steane code, and the [[9,1,3]][[9,1,3]][[9,1,3]] Shor code, we demonstrate that these hybrid architectures outperform pure architectures based on a single memory platform in terms of end-to-end entanglement distribution rate. In our study we develop a full circuit-level noise model of our architectures and examine the impact of an imperfect interface between the two platforms on our hybrid architecture. We also develop a modified version of the swap-as-soon-as-possible policy with multiplexing, more suited to our architecture where some nodes perform error-correction while others do not. This modified policy significantly reduces the information storage time in memory qubits relative to the previously considered swap policies in encoded repeater chains.