for error-corrected surface code logical qubits3,4,13. Here d is the code distance indicating 2d2 − 1 physical qubits used per logical qubit; p and εd are the physical and logical error rates, respectively; and pthr is the threshold error rate of the code. Thus, when p ≪...
Quantum error correction provides a path to reach practical quantum computing by combining multiple physical qubits into a logical qubit, in which the logical error rate is suppressed exponentially as more qubits are added. However, this exponential suppression only occurs if the physical error rate ...
Here we demonstrate quantum error correction using the surface code, which is known for its exceptionally high tolerance to errors3,4,5,6. Using 17 physical qubits in a superconducting circuit, we encode quantum information in a distance-three logical qubit, building on recent distance-two error...
The surface code is used by the Azure Quantum Resource Estimator. Hastings-Haah code: This quantum error correction code offers better space-time costs than surface codes on Majorana qubits in many regimes. For gate-based instruction sets, the overhead is larger, which makes this approach less ...
44 p. Holography and Causality in the Karch-Randall Braneworld 13 p. ReVision: High-Quality, Low-Cost Video Generation with Explicit 3D Physics Modeling for Complex Motion and Interaction 13 p. SPARO: Surface-code Pauli-based Architectural Resource Optimization for Fault-tolerant Quantum Compu...
Error Correction 量子计算中的误差纠正是确保计算准确性和可靠性的关键技术。由于量子计算机的敏感性和复杂性,误差纠正成为一个重要的研究领域。 ·量子纠错码 Quantum Error Correction Codes 量子纠错码用于检测和纠正量子计算中的错误。现有的量子纠错码包括表面码(Surface Code)和经典纠错码的量子扩展。虽然这些技术可...
·量子比特错误纠正(Qubit Error Correction):通过编码和冗余技术纠正量子计算中的错误。例如,表面代码(Surface Code)和颜色编码(Color Code)。 ·容错量子计算(Fault-Tolerant Quantum Computing):实现容错的量子计算方法,例如,通过量子纠错码提高计算的鲁棒性。
The surface code is one of the most successful approaches to topological quantum errorcorrection. It boasts the smallest known syndrome extraction circuits and correspondingly largest thresholds. Defect-based logical encodings of a new variety called twists have made it possible to implement the full Cl...
quantum error correction protocols based on the surface code in the presence of coherent noise. We observe that the standard Pauli approximation provides an accurate estimate of the error threshold but underestimates the logical error rate in the sub-threshold regime. We find that for large code ...
New codes for efficient error correction IBM scientists have now discovered LDPC codes with a few hundred physical qubits that feature a more than ten-fold reduction of the number of physical qubits relative to the surface code. This is possible because the code encodes more information into the...