aiqbench analysis
This study experimentally realizes holographic pentagon and heptagon codes using trapped ions to validate fundamental properties like the Ryu-Takayanagi entanglement area law. By demonstrating error correction mechanisms within these topological structures, the research advances practical quantum information processing architectures based on gravity-inspired models.
Holographic quantum codes with trapped ions
arXiv:2607.16503v1 Announce Type: new Abstract: Holography is a central concept at the intersection of gravity, condensed matter theory, and quantum information, linking the interior bulk of a system to its boundary. A model realizing key features of holographic systems is the holographic pentagon code by Pastawski et al. Here we experimentally implement instances of the holographic pentagon and heptagon codes with trapped ions and test their properties: For the pentagon code, we recover logical bulk qubits from their nearby boundary and test the Ryu-Takayanagi entanglement area law. For the heptagon code, we show that the transversal Hadamard gate native to the constituent Steane codes induces a single-qubit, correctable error in the holographic code. Our implementation paves the way towards the use of holographic quantum codes for quantum information processing.
Authors:Alex Steiner, Gerard Anglès Munné, Robert Freund, Ivan Pogorelov, Michael Meth, Robert J. Harris, Gavin Brennen, Thomas M. Stace, Thomas Monz, Rainer Blatt, Felix Huber, Martin Ringbauer
Abstract:Holography is a central concept at the intersection of gravity, condensed matter theory, and quantum information, linking the interior bulk of a system to its boundary. A model realizing key features of holographic systems is the holographic pentagon code by Pastawski et al. Here we experimentally implement instances of the holographic pentagon and heptagon codes with trapped ions and test their properties: For the pentagon code, we recover logical bulk qubits from their nearby boundary and test the Ryu-Takayanagi entanglement area law. For the heptagon code, we show that the transversal Hadamard gate native to the constituent Steane codes induces a single-qubit, correctable error in the holographic code. Our implementation paves the way towards the use of holographic quantum codes for quantum information processing.
arXiv:2607.16503 [quant-ph]
(or arXiv:2607.16503v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2607.16503 arXiv-issued DOI via DataCite (pending registration)
Full text under the publisher's open licence · 166 words
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