Decoding the Surface Code Complexity with Pauli Noise
Decoding the surface code with Pauli noise is NP-hard and #P-hard, respectively, showcasing the complexity of quantum error correction algorithms.
SAT to QMLD Reduction for NP-Hardness Proof
Quantum maximum likelihood decoding (QMLD) for the surface code is NP-hard.
Reduzierung der Härteergebnisse für das Decodieren des Oberflächen-Codes mit Pauli-Rauschen
Quantum Maximum Likelihood Decoding für den Oberflächen-Code ist NP-schwer und #P-schwer.
Leveraging Implicit Long-range Dependencies for Efficient Quantum Error Correction
Exploiting the implicit long-range dependencies between data qubits and distant ancilla qubits can significantly improve the accuracy of quantum error correction.
Variational Graphical Quantum Error Correction (VGQEC) Codes: A Novel Approach to Tailoring Quantum Error Correction for Specific Noise Models
This paper introduces VGQEC, a new class of quantum error-correcting codes that can be adjusted to optimize performance for specific noise models, potentially revolutionizing the field by moving beyond general-purpose codes to address the limitations of current quantum devices.
Fault-Tolerant Logical Measurement for Quantum LDPC Codes Using Homological Measurement
This paper introduces a novel framework called "homological measurement" for fault-tolerantly measuring logical operators in CSS stabilizer codes, particularly focusing on quantum LDPC codes, and presents a specific protocol called "edge expanded homological measurement" that minimizes resource overhead while preserving code distance.
Construction of Quantum Error Correction Codes for Absorption and Emission Errors
This research paper introduces a novel method for constructing quantum error correction codes, specifically designed to protect against absorption and emission errors in quantum systems, leading to more efficient codes with potential for practical applications in quantum information processing.
Universal Adapters for Joint Logical Measurements Between Quantum LDPC Codes
This paper introduces a novel method called "repetition code adapters" to enable joint logical Pauli measurements between arbitrary quantum LDPC code blocks, simplifying logical computation in these codes.
Single-Shot Preparation of Hypergraph Product Codes via Dimension Jump: A Fault-Tolerant Protocol for Quantum Computing
This paper presents a novel protocol for single-shot preparation of hypergraph product codes, a type of quantum error-correcting code, leveraging a technique called dimension-jumping to achieve fault-tolerant initialization in constant depth with manageable spatial overhead.
Real-Time Quantum Error Correction with Superconducting Qubits: Achieving Low Latency and Demonstrating Logical Error Suppression
This research demonstrates the successful integration of a low-latency, scalable FPGA decoder into a superconducting quantum processor, enabling real-time quantum error correction and paving the way for complex, fault-tolerant quantum computations.
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