Exploiting Movable Logical Qubits for Lattice Surgery Compilation

• URL: http://arxiv.org/abs/2512.04169v1
• Date: Wed, 03 Dec 2025 19:00:04 GMT
• Title: Exploiting Movable Logical Qubits for Lattice Surgery Compilation
• Authors: Laura S. Herzog, Lucas Berent, Aleksander Kubica, Robert Wille,
• Abstract summary: 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.
• Score: 43.290156259065554
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Lattice surgery with two-dimensional quantum error correcting codes is among the leading schemes for fault-tolerant quantum computation, motivated by superconducting hardware architectures. In conventional lattice surgery compilation schemes, logical circuits are compiled following a place-and-route paradigm, where logical qubits remain statically fixed in space throughout the computation. In this work, we introduce a paradigm shift by exploiting movable logical qubits via teleportation during the logical lattice surgery CNOT gate. Focusing on lattice surgery with the color code, we propose a proof-of-concept compilation scheme that leverages this capability. Numerical simulations show that the proposed approach can substantially reduce the routed circuit depth compared to standard place-and-route compilation techniques. Our results demonstrate that optimizations based on movable logical qubits are not limited to architectures with physically movable qubits, such as neutral atoms or trapped ions - they are also readily applicable to superconducting quantum hardware. An open-source implementation of our method is available on GitHub https://github.com/munich-quantum-toolkit/qecc.

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