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THU: Thursday Contributed Sessions
THU 1: Fault-Tolerant Quantum Computing: Contributed Session (Quantum Error Correction)
THU 1.2: Talk
Thursday, September 11, 2025, 14:30–14:45, ZHG001
Universal fault-tolerant logic with holographic codes — •Alexander Jahn1, Matthew Steinberg2,3, Junyu Fan2, Jens Eisert1, Sebastian Feld2, and ChunJun Cao4 — 1Department of Physics, Freie Universität Berlin, Germany — 2QuTech, Delft University of Technology, The Netherlands — 3Global Technology Applied Research, JPMorganChase, New York, USA — 4Department of Physics, Virginia Tech, Blacksburg, USA
A core challenge for practical quantum computing lies in the construction of quantum codes with logical gates that are both universal and fault-tolerant. In our work, we introduce a new approach for achieving both features by constructing a class of quantum error-correcting codes - heterogeneous holographic codes - that are derived from models of holographic bulk-boundary dualities, which were previously thought to be unsuitable for applied quantum computing. Overturning earlier work, we show that a universal set of non-Clifford gates can be applied fault-tolerantly on the physical boundary of these codes, while also demonstrating that they allow for high erasure thresholds, another desired feature of quantum codes. Compared to previous concatenated code constructions that our work generalizes, we achieve large overhead savings in physical qubits, e.g. a 21.8% reduction for a two-layer Steane/quantum Reed-Muller combination. Unlike standard concatenated codes, we establish that the new codes can encode more than a single logical qubit per code block by applying ``black hole'' deformations with tunable rate and distance, while possessing fully addressable, universal fault-tolerant gate sets. [arXiv:2504.10386]
Keywords: Quantum error correction; Fault-tolerant quantum computing; Holographic dualities; Tensor networks