Controlled-Z Gates via Floquet Coupling to Two Auxiliary States in Transmon Circuits

  1. Yutao Chen,
  2. Jia-Chi Zhang,
  3. Tian-Ming Li,
  4. Yu Liu,
  5. Kai Xu,
  6. and Heng Fan
High-fidelity entangling gates are essential for quantum information processing. In transmon circuits, higher excited states provide additional pathways for engineering interactions
within the computational subspace. Here we demonstrate controlled-Z (CZ) gates that exploit two noncomputational states, $\ket{02}$ and $\ket{20}$, through selective Floquet coupling. The nontrivial parametric modulation can activate both auxiliary transitions from $\ket{11}$ while suppressing the leading exchange between $\ket{01}$ and $\ket{10}$. Based on this approach, we develop two gate protocols: a nonadiabatic round trip through a bright auxiliary superposition and adiabatic evolution along a zero-energy dark state, both achieving average gate fidelities above 99.99% in numerical simulations. Control of the modulation phase further extends the bright-state protocol to conventional and unconventional geometric CZ gates. Effective-model simulations show that unconventional control improves tolerance to residual ZZ coupling and static qubit-frequency offsets relative to conventional control over the parameter ranges examined. Simulations including neighboring spectator qubits show that the original nonadiabatic bright-state and adiabatic dark-state CZ protocols retain high gate fidelities. This framework offers new routes toward the experimental realization of CZ gates and their geometric implementations.

Mechanical trisqueezing in circuit quantum acoustodynamics with SNAIL devices

  1. Yi-Zhou Bu,
  2. Matteo Fadel,
  3. Kai Xu,
  4. and Heng Fan
Continuous-variable quantum information processing with mechanical oscillators requires a uni- versal gate set, including a genuine non-Gaussian evolution. While circuit quantum acoustodynamics
(cQAD) experiments have realized bilinear and quartic (four-wave mixing) operations by coupling mechanical modes to transmon qubits, the intrinsic Kerr nonlinearity of these devices precludes access to odd-order effective Hamiltonians such as trisqueezing. Here we propose a cQAD architec- ture in which a mechanical mode, hosted in a high-overtone bulk acoustic-wave resonator (HBAR), is coupled to a superconducting nonlinear asymmetric inductive element (SNAIL). By combining the cubic nonlinearity of the SNAIL with parametric flux driving, we engineer a three-wave mixing interaction that generates trisqueezed mechanical states, producing the characteristic triangular, star-shaped Wigner function with negative regions indicative of non-Gaussianity. We derive the effective trisqueezing Hamiltonian from the full circuit model, identify the drive frequencies and flux modulation required to isolate the desired interaction from competing terms, and quantify the achievable coupling strengths for parameters compatible with current fabrication capabilities. Our results establish a hardware-efficient route to non-Gaussian resource generation in mechanical quantum systems, extending the toolbox of cQAD toward universal continuous-variable quantum computation and enhanced quantum-limited sensing.

Experimental Realization of a C-Shunt Flux-Qubit Coupler for Controlled-Z Gates between Transmons

  1. Weiping Yuan,
  2. Silu Zhao,
  3. Li Li,
  4. Chenglin Deng,
  5. Zhenghe Liu,
  6. Yu Liu,
  7. Tianming Li,
  8. Mingchuan Wang,
  9. Bingjie Chen,
  10. Guihan Liang,
  11. Jiacheng Song,
  12. Jinming Guo,
  13. Shuaili Wang,
  14. Mingxuan Zhou,
  15. Xiaohui Song,
  16. Kai Xu,
  17. Heng Fan,
  18. Zhongcheng Xiang,
  19. and Dongning Zheng
Fast entangling gates and low-interaction idling require distinct operating conditions in superconducting quantum processors. We experimentally realize a transmon-C-shunt-transmon (TCT)
device in which a flux-tunable, three-junction capacitively shunted flux-qubit coupler connects two transmon data qubits. The C-shunt coupler provides a flux-tunable, positively anharmonic spectrum for tailoring the interactions between the data qubits. Conditional Ramsey and swap measurements identify an idle region with near-zero residual ZZ interaction strength and suppressed transverse exchange. At this bias, simultaneous single-qubit interleaved randomized benchmarking yields X-gate fldelities above 99.7%, consistent with individual operation. A 45 ns nonadiabatic controlled-Z (CZ) gate achieves an interleaved randomized benchmarking fldelity estimate of 99.23(15)%. Numerical simulations identify coupler energy relaxation as an important limitation on CZ-gate fldelity and indicate that extending the coupler lifetime can improve gate performance. These results demonstrate the experimental feasibility of C-shunt flux-qubit couplers for combining low-interaction idling with fast entangling operations between transmon qubits.

Pulse-Level Compilation of Measurement-Free Recovery in Transmon Circuits

  1. Yi-Han Yu,
  2. Kai Xu,
  3. and Heng Fan
Quantum error correction commonly relies on syndrome measurement, decoding, and conditional feedback. We numerically show that the conditional spectrum of an interacting transmon circuit
can compile a local recovery rule into a fixed open-loop control cycle. In a four-bit repetition-code ring, the resulting input-independent control slows the decay of logical coherence under Pauli-\(X\) noise and stabilizes logical-one population under data relaxation relative to uncorrected references. Its local, bounded-degree architecture provides a hardware-native framework for extending compiled recovery control to larger quantum networks.

Connectivity-induced surface-loss penalty in superconducting qubit-coupler lattices

  1. Xu-Yang Gu,
  2. Gui-Han Liang,
  3. Ming-Chuan Wang,
  4. Yongxi Xiao,
  5. Cheng-Lin Deng,
  6. Zheng-He Liu,
  7. Tian-Ming Li,
  8. Kai Xu,
  9. Zhongcheng Xiang,
  10. and Heng Fan
Recent advances in design and fabrication have increased the energy-relaxation times of isolated superconducting transmon qubits to the hundreds-of-microseconds regime, with reported
values exceeding 500 μs. However, the same progress has not automatically translated to multiqubit processors, where qubits are embedded in connected qubit-coupler lattices and often exhibit much shorter lifetimes than isolated qubits. To identify possible sources of this discrepancy, here we use finite-element simulation to investigate how surface participation ratios and the resulting surface dielectric loss change when a qubit is embedded in a flip-chip qubit-coupler lattice. Controlled comparisons show that higher connectivity can indeed lead to larger surface loss: in the simulated lattice, connecting a qubit to two and four couplers increases the surface loss by factors of 1.3 and 1.8, respectively. We attribute this change to the combined effects of added edge fields from coupling claws, field redistribution over the larger connected metal network, and hybridization with coupler modes. We further examine how this connectivity-induced surface-loss penalty depends on the geometric design parameters of both the qubit electrodes and the coupling claws, and derive guidelines for designing low-loss multiqubit processors.

A superconducting qutrit link beyond the qubit limit

  1. Xiang Li,
  2. Zheng-Yang Mei,
  3. Yang He,
  4. Si-Lu Zhao,
  5. Yan-Jun Liu,
  6. Xiao-Hui Song,
  7. Kai Xu,
  8. Zhong-Cheng Xiang,
  9. Dong-Ning Zheng,
  10. and Heng Fan
Superconducting microwave links have enabled deterministic state transfer and remote entanglement between qubits, but deterministic links have so far operated with an effectively two-dimensional
transmitted Hilbert space. Here we demonstrate a superconducting qutrit link between two independently packaged nodes connected by a microwave channel. Each node combines a transmon qutrit, a transmission resonator, and a tunable Purcell-filter interface, allowing the two remote microwave-photon interfaces to be matched in both frequency and bandwidth. We implement two transition-selective photon-mediated operations that transfer the |e⟩ and |f⟩ qutrit components in distinct temporal modes of the same channel. We tomographically characterize arbitrary qutrit-state transfer, obtaining a mean transferred-state fidelity of 83.68% and a qutrit process fidelity of 77.12%, exceeding both the classical qutrit-transfer benchmark and the best possible average fidelity of an effective qubit channel used to transmit an arbitrary qutrit. Using partial-transfer operations, we reconstruct a remote two-qutrit state with negativity 0.730, a tomography-inferred dense-coding capacity of 2.273 bits, and a tomography-inferred Collins-Gisin-Linden-Massar-Popescu (CGLMP) parameter I3=2.332, all beyond the corresponding qubit or local bounds. These results demonstrate a superconducting microwave link that uses the native three-level structure of transmons as a genuine high-dimensional communication resource.

Demonstration of High-Fidelity Gates in a Strongly Anharmonic with Long-Coherence C-Shunt Flux Qubit

  1. Silu Zhao,
  2. Li Li,
  3. Weiping Yuan,
  4. Xinhui Ruan,
  5. Jinzhe Wang,
  6. Bingjie Chen,
  7. Yunhao Shi,
  8. Guihan Liang,
  9. Shi Xiao,
  10. Jiacheng Song,
  11. Jinming Guo,
  12. Xiaohui Song,
  13. Kai Xu,
  14. Heng Fan,
  15. Zhongcheng Xiang,
  16. and Dongning Zheng
We demonstrate high-fidelity single-qubit gates on a C-shunt flux qubit that simultaneously combines a large anharmonicity (/2π=848 MHz) with long relaxation time (T1=23 μs). The
large anharmonicity significantly suppresses leakage to higher energy levels, enabling fast and precise microwave control. Using DRAG pulses and randomized benchmarking, the qubit achieves gate fidelities exceeding 99.9\%, highlighting the capability of C-shunt flux qubits for robust and high-performance quantum operations. These results establish them as a promising platform for scalable quantum information processing.

Flexible Readout and Unconditional Reset for Superconducting Multi-Qubit Processors with Tunable Purcell Filters

  1. Yong-Xi Xiao,
  2. Da'er Feng,
  3. Xu-Yang Gu,
  4. Gui-Han Liang,
  5. Ming-Chuan Wang,
  6. Zheng-Yu Peng,
  7. Bing-Jie Chen,
  8. Yu Yan,
  9. Zheng-Yang Mei,
  10. Si-Lu Zhao,
  11. Yi-Zhou Bu,
  12. Cheng-Lin Deng,
  13. Xiaohui Song,
  14. Dongning Zheng,
  15. Yu-Xiang Zhang,
  16. Yun-Hao Shi,
  17. Zhongcheng Xiang,
  18. Kai Xu,
  19. and Heng Fan
Qubit readout and reset are critical components for the practical realization of quantum computing systems, as outlined by the DiVincenzo criteria. Here, we present a scalable architecture
employing frequency-tunable nonlinear Purcell filters designed specifically for superconducting qubits. This architecture enables flexible readout and unconditional reset functionalities. Our readout protocol dynamically adjusts the effective linewidth of the readout resonator through a tunable filter, optimizing the signal-to-noise ratio during measurement while suppressing photon noise during idle periods. Achieving a readout fidelity of 99.3% without using Josephson parametric amplifiers or traveling-wave parametric amplifiers, even with a small dispersive shift, demonstrates its effectiveness. For reset operations, our protocol utilizes the tunable coupler adjacent to the target qubit as an intermediary to channel qubit excitations into the Purcell filter, enabling rapid dissipation. We demonstrate unconditional reset of both leakage-induced |2⟩ and |1⟩ states within 200 ns (error rate ≤1%), and reset of the |1⟩ state alone in just 75 ns. Repeated reset cycles (≤600 ns) further reduce the error rate below 0.1%. Furthermore, the filter suppresses both photon noise and the Purcell effect, thereby reducing qubit decoherence. This scalable Purcell filter architecture shows exceptional performance in qubit readout, reset, and protection, marking it as a promising hardware component for advancing fault-tolerant quantum computing systems.

Engineering a Multi-Mode Purcell Filter for Superconducting-Qubit Reset and Readout with Intrinsic Purcell Protection

  1. Xu-Yang Gu,
  2. Da'er Feng,
  3. Zhen-Yu Peng,
  4. Gui-Han Liang,
  5. Yang He,
  6. Yongxi Xiao,
  7. Ming-Chuan Wang,
  8. Yu Yan,
  9. Bing-Jie Chen,
  10. Zheng-Yang Mei,
  11. Yi-Zhou Bu,
  12. Jia-Chi Zhang,
  13. Jia-Cheng Song,
  14. Cheng-Lin Deng,
  15. Xiaohui Song,
  16. Dongning Zheng,
  17. Kai Xu,
  18. Zhongcheng Xiang,
  19. and Heng Fan
Efficient qubit reset and leakage reduction are essential for scalable superconducting quantum computing, particularly in the context of quantum error correction. However, such operations
often require additional on-chip components. Here, we propose and experimentally demonstrate a mode-efficient approach to qubit reset and readout using a multi-mode Purcell filter in a superconducting quantum circuit. We exploit the inherent multi-mode structure of a coplanar waveguide resonator, using its fundamental and second-order modes for qubit reset and readout, respectively, thereby avoiding additional circuit elements. Implemented in a flip-chip architecture, our device achieves unconditional reset with residual excitation below 1% in 220 ns, and a leakage reduction unit that selectively resets the second excited state within 62 ns. Simulations predict Purcell-limited relaxation times exceeding 1 ms over an 800 MHz bandwidth. To our knowledge, this is the first experimental trial that exploits different-order modes of a microwave resonator for distinct qubit operations, representing a new direction toward scalable, mode-efficient quantum processor design.

Experimental Extraction of Coherent Ergotropy and Its Energetic Cost in a Superconducting Qubit

  1. Li Li,
  2. Silu Zhao,
  3. Kai Xu,
  4. Heng Fan,
  5. Dongning Zheng,
  6. and Zhongcheng Xiang
Quantum coherence, encoded in the off-diagonal elements of a system’s density matrix, is a key resource in quantum thermodynamics, fundamentally limiting the maximum extractable
work, or ergotropy. While previous experiments have isolated coherence-related contributions to work extraction, it remains unclear how coherence can be harnessed in a controllable and energy-efficient manner. Here, we experimentally investigate the role of initial-state coherence in work extraction from a superconducting transmon qubit. By preparing a range of pure states and implementing three complementary extraction protocols, we reveal how coherence governs the partitioning of ergotropy. We find that the choice of initial state depends on the dominant decoherence channel-energy relaxation or dephasing. By further accounting for thermodynamic costs, we identify optimal initial states that maximize the efficiency. These results establish initial-state design as a practical and scalable approach to coherence control, offering guidance for the development of efficient quantum thermodynamic devices.