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Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits (1202.5344v1)

Published 23 Feb 2012 in quant-ph and cond-mat.mes-hall

Abstract: We use quantum process tomography to characterize a full universal set of all-microwave gates on two superconducting single-frequency single-junction transmon qubits. All extracted gate fidelities, including those for Clifford group generators, single-qubit pi/4 and pi/8 rotations, and a two-qubit controlled-NOT, exceed 95% (98%), without (with) accounting for state preparation and measurement errors. Furthermore, we introduce a process map representation in the Pauli basis which is visually efficient and informative. This high-fidelity gate set serves as another critical building block towards scalable architectures of superconducting qubits for error correction schemes.

Citations (260)

Summary

  • The paper demonstrates a universal quantum gate set on superconducting qubits achieving fidelities >95%, establishing a pathway for fault-tolerant quantum computing.
  • The study employs quantum process tomography to characterize single-qubit and two-qubit gates while correcting for state preparation and measurement errors.
  • The research introduces a Pauli basis process map and detailed error analysis, paving the way for efficient quantum error correction in scalable architectures.

Quantum Gate Set Characterization in Superconducting Qubits

The paper "Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits" presents a significant advancement in quantum computing, specifically focusing on the high-fidelity implementation of quantum gates using superconducting qubits. Authored by researchers at the IBM T.J. Watson Research Center, the work addresses the critical need for implementing universal quantum gate sets with fidelities suitable for fault-tolerant quantum computing.

Key Contributions

The paper utilizes quantum process tomography (QPT) to characterize a universal set of all-microwave quantum gates on superconducting transmon qubits. The authors report that all gate fidelities, including those of Clifford group generators and a two-qubit controlled-NOT (CNOT) gate, exceed 95%—surpassing fault-tolerance thresholds when accounting for state preparation and measurement errors. When these errors are considered, fidelities exceed 98%, emphasizing the robustness of their implementation. This work introduces a process map representation in the Pauli basis for a more efficient visualization and analysis of gate processes.

Numerical Results and Analysis

  • Single-qubit gate fidelities are consistently above 95%, reaching up to 99% as previous experiments suggested.
  • The two-qubit CNOT gate demonstrated fidelities greater than 95%, crucial for generating entangled states necessary for quantum error correction.
  • The research highlights a systematic error analysis, pointing to coherence times and control errors as the main limitations rather than coherence. Gate characterization schemes such as QPT sometimes show deviations, suggesting the potential for incorporating more efficient schemes like randomized benchmarking in future characterizations.

Implications and Future Directions

This work underlines the feasibility of implementing fault-tolerant quantum algorithms with superconducting qubits, bridging a gap toward scalable quantum architectures. With improvements in coherence times and calibration techniques, the pursuit of scalable architectures for quantum processors holds great promise. The high-fidelity gates demonstrated will serve as building blocks for error correction schemes, anticipating more sophisticated quantum computing implementations.

Theoretical and Practical Impact

Theoretically, the results support the application of two-dimensional error-correction surface codes, which are well-suited for superconducting qubits, due to their inherent compatibility with nearest-neighbor qubit lattice structures. Practically, this advancement implies potential for larger qubit systems that can execute more complex quantum error correction protocols, thereby advancing quantum computing toward more practical and computationally meaningful applications.

Conclusion

The authors effectively demonstrate a complete, high-fidelity universal quantum gate set for superconducting qubits, setting a strong precedent for the future of quantum gate fidelity research. The methodologies and insights outlined in this paper will likely catalyze further research and development in the field, steering the community towards achieving ever-higher fidelities and enabling scalable quantum algorithms. Future work will likely focus on resolving control errors and further optimizing calibration techniques to enhance gate performance within the growing field of superconducting quantum computing. This research marks a crucial step forward in making robust fault-tolerant quantum computing a reality.