Distributed Quantum Error Correction with Bivariate Bicycle Codes in a Modular Architecture

• URL: http://arxiv.org/abs/2605.04663v1
• Date: Wed, 06 May 2026 09:10:28 GMT
• Title: Distributed Quantum Error Correction with Bivariate Bicycle Codes in a Modular Architecture
• Abstract summary: We study the realization of a BB code in a modular multiprocessor architecture, where quantum processors are interconnected through shared Bell pairs.<n>We partition the qubits of the [[144,12,12]] BB code across 4, 6, and 12 quantum processors and analyze the resulting logical error rates and pseudo-threshold performance.
• Score: 1.8290236913635889
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum low density parity check (qLDPC) codes, particularly bivariate bicycle (BB) codes, achieve competitive fault tolerance thresholds while offering substantially higher encoding rates than planar surface codes. However, their intrinsically long-range stabilizer structure makes them difficult to implement on monolithic devices with nearest neighbor connectivity and limited qubit capacity. In this work, we study the realization of a BB code in a modular multiprocessor architecture, where quantum processors are interconnected through shared Bell pairs. We consider processors with all to all internal connectivity, which is feasible on trapped ion and neutral atom platforms, enabling flexible local gate execution while inter-processor (nonlocal) gates are mediated by shared entanglement. We describe a star network architecture that can realize this distributed setting. We partition the qubits of the [[144,12,12]] BB code across 4, 6, and 12 quantum processors and analyze the resulting logical error rates and pseudo-threshold performance under circuit level noise by varying the number of processors and a scaling factor that captures the additional noise associated with nonlocal operations. We use Monte Carlo simulations with BP+OSD decoding and extend the previously known BB code ansatz to the distributed setting. Our results provide architectural insight and design considerations for distributed BB codes in modular quantum computing architectures.

Related papers

• Error Correction in a Distributed Quantum Computer [0.0]
  Photonic interconnects allow physical qubits to be distributed across multiple processors.<n>Key requirement is the ability to perform stabiliser measurements between remote processors.<n>We report the first experimental demonstration of distributed quantum error detection and correction.
  arXiv  Detail & Related papers  (2026-09-11T17:03:41Z)
• Hardware-Aware Compilation and Execution of Bivariate Bicycle Codes on Neutral-Atom Systems [3.600426600039409]
  Park-n-Ride is a system for compiling and executing the BB code on neutral-atom processors.<n>Park-n-Ride introduces a module layout and movement model aligned with neutral-atom constraints.<n>It exposes a compact BB-native logical interface for compilation, and integrates scheduling mechanisms.
  arXiv  Detail & Related papers  (2026-08-17T18:19:08Z)
• 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)
• A Scalable Distributed Quantum Optimization Framework via Factor Graph Paradigm [46.08923284345648]
  We introduce a structure-aware framework for distributed quantum optimization.<n>We find that for a search space of size $N$, our framework achieves $O(sqrtN)$ query complexity up to processors and separator dependent factors.<n>We show that structure-aware decomposition delivers a practical path to scalable distributed quantum optimization on quantum networks.
  arXiv  Detail & Related papers  (2026-03-08T15:15:52Z)
• Exploiting Movable Logical Qubits for Lattice Surgery Compilation [43.290156259065554]
  We introduce a paradigm shift by exploiting movable logical qubits via teleportation during the logical lattice surgery CNOT gate.<n> Numerical simulations show that the proposed approach can substantially reduce the routed circuit depth.<n>An open-source implementation of our method is available on GitHub.
  arXiv  Detail & Related papers  (2025-12-03T19:00:04Z)
• Architectural Approaches to Fault-Tolerant Distributed Quantum Computing and Their Entanglement Overheads [0.0]
  Fault tolerant quantum computation over distributed quantum computing (DQC) platforms requires careful evaluation of resource requirements and noise thresholds.<n>Type 1 architectures consist of small quantum nodes connected via Greenberger-e-Zeilinger (GHZ) states, enabling nonlocal stabilizer measurements.<n>Type 2 architectures distribute a large error correcting code block across multiple modules, with most stabilizer measurements remaining local.<n>Type 3 architectures assign code blocks to distinct modules and can perform fault tolerant operations such as lattice gates, lattice surgery, and teleportation.
  arXiv  Detail & Related papers  (2025-11-17T18:14:38Z)
• Scalable modular architecture for universal quantum computation [45.989522481082986]
  We show that it is sufficient to connect two qubit arrays that are evolution operator controllable by a single entangling two-qubit gate.<n>We illustrate the approach with two examples, consisting of 10, respectively 127 qubits, inspired by IBM quantum processors.
  arXiv  Detail & Related papers  (2025-07-19T16:45:47Z)
• Planar Fault-Tolerant Quantum Computation with Low Overhead [5.232949916418351]
  We introduce code craft, a framework for designing fault-tolerant logical operations on planar BB codes.<n>We show that logical operations, including controlled-NOT gates, state transfers, and Pauli measurements, can be efficiently implemented within this framework.
  arXiv  Detail & Related papers  (2025-06-22T15:07:03Z)
• Extractors: QLDPC Architectures for Efficient Pauli-Based Computation [39.98920557126034]
  We propose a new primitive that can augment any QLDPC memory into a computational block well-suited for Pauli-based computation.<n>In particular, any logical Pauli operator supported on the memory can be fault-tolerantly measured in one logical cycle.<n>Our architecture can implement universal quantum circuits via parallel logical measurements.
  arXiv  Detail & Related papers  (2025-03-13T14:07:40Z)
• Towards early fault tolerance on a 2$\times$N array of qubits equipped with shuttling [0.0]
  Two-dimensional grid of locally-interacting qubits is promising platform for fault tolerant quantum computing. In this paper, we show that such constrained architectures can also support fault tolerance. We demonstrate that error correction is possible and identify the classes of codes that are naturally suited to this platform.
  arXiv  Detail & Related papers  (2024-02-19T23:31:55Z)
• Mitigating crosstalk errors by randomized compiling: Simulation of the BCS model on a superconducting quantum computer [41.94295877935867]
  Crosstalk errors, stemming from CNOT two-qubit gates, are a crucial source of errors on numerous quantum computing platforms. We develop and apply an extension of the randomized compiling protocol that includes a special treatment of neighboring qubits. Our twirling of neighboring qubits is shown to dramatically improve the noise estimation protocol without the need to add new qubits or circuits.
  arXiv  Detail & Related papers  (2023-05-03T18:00:02Z)
• Modular decoding: parallelizable real-time decoding for quantum computers [55.41644538483948]
  Real-time quantum computation will require decoding algorithms capable of extracting logical outcomes from a stream of data generated by noisy quantum hardware. We propose modular decoding, an approach capable of addressing this challenge with minimal additional communication and without sacrificing decoding accuracy. We introduce the edge-vertex decomposition, a concrete instance of modular decoding for lattice-surgery style fault-tolerant blocks.
  arXiv  Detail & Related papers  (2023-03-08T19:26:10Z)
• A quantum processor based on coherent transport of entangled atom arrays [44.62475518267084]
  We show a quantum processor with dynamic, nonlocal connectivity, in which entangled qubits are coherently transported in a highly parallel manner. We use this architecture to realize programmable generation of entangled graph states such as cluster states and a 7-qubit Steane code state.
  arXiv  Detail & Related papers  (2021-12-07T19:00:00Z)

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.