Exploiting Movable Logical Qubits for Lattice Surgery Compilation

Fuente: arXiv
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Autori principali: Herzog, Laura S., Berent, Lucas, Kubica, Aleksander, Wille, Robert
Natura: Preprint
Pubblicazione: 2025
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author Herzog, Laura S.
Berent, Lucas
Kubica, Aleksander
Wille, Robert
author_facet Herzog, Laura S.
Berent, Lucas
Kubica, Aleksander
Wille, Robert
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_04169
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exploiting Movable Logical Qubits for Lattice Surgery Compilation
Herzog, Laura S.
Berent, Lucas
Kubica, Aleksander
Wille, Robert
Quantum Physics
Emerging Technologies
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.
title Exploiting Movable Logical Qubits for Lattice Surgery Compilation
topic Quantum Physics
Emerging Technologies
url https://arxiv.org/abs/2512.04169