Adaptive Deformation of Color Code in Square Lattices with Defects

• URL: http://arxiv.org/abs/2604.05874v1
• Date: Tue, 07 Apr 2026 13:33:09 GMT
• Title: Adaptive Deformation of Color Code in Square Lattices with Defects
• Abstract summary: Quantum error correction is a crucial technology for fault tolerant quantum computing.<n>On superconducting platforms, hardware defects in large scale quantum processors can disrupt the regular lattice structure of topological codes.<n>We propose a universal superstabilizer scheme applicable to data qubit defects in arbitrary stabilizer codes.
• Score: 9.463343477425454
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum error correction is a crucial technology for fault tolerant quantum computing. On superconducting platforms, hardware defects in large scale quantum processors can disrupt the regular lattice structure of topological codes and impair their error correction capabilities. Although defect adaptive methods for surface codes have been extensively studied, other topological codes such as color codes still lack a systematic framework for handling defects. To address this issue, we propose a universal superstabilizer scheme applicable to data qubit defects in arbitrary stabilizer codes. Based on this scheme, we develop concrete repair methods for isolated defects of both internal data qubits and ancilla qubits in color codes defined on square lattices. Furthermore, for ancilla qubit defects, we present two optimization schemes. One scheme reuses neighboring ancilla qubits, and the other employs iSWAP gates. Unlike conventional approaches that directly disable neighboring data qubits and thus cause resource waste, both of our schemes avoid such waste and consequently achieve a lower logical error rate.Integrating the above techniques, we construct a comprehensive defect adaptive architecture for color codes to handle various defect clusters. We also show that our scheme supports a full transversal Clifford gate set and lattice surgery operations. These results provide a systematic theoretical pathway for deploying robust and low overhead color codes on defective quantum hardware.

Related papers

• Probabilistic Error Cancellation for Single-Mode Gottesman-Kitaev-Preskill Codes [45.91504150103373]
  We study a quantum error mitigation method known as probabilistic error cancellation in the context of the Gottesman-Kitaev-Preskill code.<n>We employ the stabilizer subsystem decomposition for GKP codes to obtain an effective logical channel for noisy operations.
  arXiv  Detail & Related papers  (2026-09-15T12:29:45Z)
• Theory of approximate quantum error correction and the error-set model [53.73800998389749]
  We develop a theory of approximate quantum error correction based on the error-set model.<n>Code correcting a given error set automatically protects against every channel whose Kraus operators lie in their linear span.<n>This linearity gives rise to code distance, the equivalence between erasures and general errors, and a theory ofally good codes.
  arXiv  Detail & Related papers  (2026-07-25T02:15:33Z)
• Error Correction of Beamsplitter-Generated Entangled GKP States [56.80803785296797]
  A promising bosonic code is the Gottesman-Kitaev-Preskill (GKP) code.<n>We generate entangled states of GKP qubits by interfering two qunaught states, which have a grid structure but carry no logical information, on a beamsplitter.<n>We generate all four Bell states with an average fidelity of 69%, and demonstrate an extension of the entangled state lifetime through the use of quantum error correction.
  arXiv  Detail & Related papers  (2026-05-08T17:01:19Z)
• Circuit-level fault tolerance of cat codes [0.0]
  Bosonic codes encode quantum information into a single infinite-dimensional physical system endowed with error correction capabilities.<n>Recent discussions of bosonic codes centre around correcting only boson-loss errors.<n>We show how, through waiting-time optimization and the use of squeezing, we can restore the noise requirements to a regime achievable with near-term quantum hardware.
  arXiv  Detail & Related papers  (2024-06-06T15:18:25Z)
• Fault-tolerant quantum architectures based on erasure qubits [49.227671756557946]
  We exploit the idea of erasure qubits, relying on an efficient conversion of the dominant noise into erasures at known locations. We propose and optimize QEC schemes based on erasure qubits and the recently-introduced Floquet codes. Our results demonstrate that, despite being slightly more complex, QEC schemes based on erasure qubits can significantly outperform standard approaches.
  arXiv  Detail & Related papers  (2023-12-21T17:40:18Z)
• Codesign of quantum error-correcting codes and modular chiplets in the presence of defects [3.9145409368937867]
  Fabrication errors pose a challenge in scaling up solid-state quantum devices to the sizes required for fault-tolerant applications. We simulate the surface code adapted to qubit arrays with arbitrarily distributed defects to find metrics that characterize how defects affect fidelity. We find that an optimal choice of chiplet size, based on the defect rate and target fidelity, is essential to limiting any additional error correction overhead due to defects.
  arXiv  Detail & Related papers  (2023-04-29T01:06:52Z)
• Deep Quantum Error Correction [73.54643419792453]
  Quantum error correction codes (QECC) are a key component for realizing the potential of quantum computing. In this work, we efficiently train novel emphend-to-end deep quantum error decoders. The proposed method demonstrates the power of neural decoders for QECC by achieving state-of-the-art accuracy.
  arXiv  Detail & Related papers  (2023-01-27T08:16:26Z)
• Witnessing entanglement in trapped-ion quantum error correction under realistic noise [41.94295877935867]
  Quantum Error Correction (QEC) exploits redundancy by encoding logical information into multiple physical qubits. We present a detailed microscopic error model to estimate the average gate infidelity of two-qubit light-shift gates used in trapped-ion platforms. We then apply this realistic error model to quantify the multipartite entanglement generated by circuits that act as QEC building blocks.
  arXiv  Detail & Related papers  (2022-12-14T20:00:36Z)
• Adaptive surface code for quantum error correction in the presence of temporary or permanent defects [0.0]
  We show that combining an appropriate defect detection algorithm and a quarantine of the identified zone allows one to preserve the advantage of quantum error correction at finite code sizes. Results pave the way to the experimental implementation of large-scale quantum computers where defects will be inevitable.
  arXiv  Detail & Related papers  (2022-11-15T19:39:49Z)
• Performance of teleportation-based error correction circuits for bosonic codes with noisy measurements [58.720142291102135]
  We analyze the error-correction capabilities of rotation-symmetric codes using a teleportation-based error-correction circuit. We find that with the currently achievable measurement efficiencies in microwave optics, bosonic rotation codes undergo a substantial decrease in their break-even potential.
  arXiv  Detail & Related papers  (2021-08-02T16:12:13Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.