Papers
Live trends in quantum computing research, updated daily from arXiv.
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Operator algebra and algorithmic construction of boundaries and defects in (2+1)D topological Pauli stabilizer codes
Zijian Liang, Bowen Yang, Joseph T. Iosue +1 more·Oct 15, 2024
Quantum low-density parity-check codes, such as the Kitaev toric code and bivariate bicycle codes, are often defined with periodic boundary conditions, which are difficult to realize in physical systems. In this paper, we present an algorithm for con...
Error-Correcting Codes in TQFT on Multispheres
Rafael Chaves, D. Melnikov, M. Neves +2 more·Oct 7, 2024
Topological quantum field theories (TQFT) encode quantum correlations in topological features of spaces. In this work, we leverage this feature to explore how information encoded in TQFTs can be stored and retrieved in the presence of local decoheren...
Single-shot preparation of hypergraph product codes via dimension jump
Yifan Hong·Oct 7, 2024
Quantum error correction is a fundamental primitive of fault-tolerant quantum computing. But in order for error correction to proceed, one must first prepare the codespace of the underlying error-correcting code. A popular method for encoding quantum...
Half-quantized Hall Plateaus in the Confined Geometry of Graphene
Preeti Pandey, Sourav Manna, K. Frei +8 more·Oct 4, 2024
Since the ground-breaking discovery of the quantum Hall effect, half-quantized quantum Hall plateaus have been some of the most studied and sought-after states. Their importance stems not only from the fact that they transcend the composite fermion f...
Competing automorphisms and disordered Floquet codes
Cory T. Aitchison, Benjamin B'eri·Oct 3, 2024
Topological order is a promising basis for quantum error correction, a key milestone towards large-scale quantum computing. Floquet codes provide a dynamical scheme for this while also exhibiting Floquet-enriched topological order where anyons period...
Topological entanglement and number theory
Siddharth Dwivedi·Oct 2, 2024
The recent developments in the study of topological multi-boundary entanglement in the context of 3d Chern-Simons theory (with gauge group $G$ and level $k$) suggest a strong interplay between entanglement measures and number theory. The purpose of t...
Topological signature of the quantum nature of gravity from the Pancharatnam phase in dual Stern-Gerlach interferometers
Samuel Moukouri·Sep 29, 2024
Entanglement plays a central role in the fundamental tests and practical applications of quantum mechanics. Because entanglement is a feature unique to quantum systems, its observations provide evidence of quantumness. Hence, if gravity can generate ...
Buried Dirac points in quantum spin Hall insulators: Implications for Majorana Kramers pair-based quantum computing
J. Cuozzo, Wenlong Yu, Xiaoyan Shi +5 more·Sep 27, 2024
For heterostructures formed by a quantum spin Hall insulator (QSHI) placed in proximity to a superconductor (SC), no external magnetic field is necessary to drive the system into a phase supporting topological superconductivity with Majorana zero ene...
Fault-Tolerant Belief Propagation for Practical Quantum Memory
Kao-Yueh Kuo, Ching-Yi Lai·Sep 27, 2024
A fault-tolerant approach to reliable quantum memory is essential for scalable quantum computing, as physical qubits are susceptible to noise. Quantum error correction (QEC) must be continuously performed to prolong the memory lifetime. In QEC, error...
Geometric Phase Transition of the Three-Dimensional Z_{2} Lattice Gauge Model.
Ramgopal Agrawal, L. Cugliandolo, L. Faoro +2 more·Sep 23, 2024
After fifty years of lattice gauge theories (LGTs), the nature of the transition between their topological phases (confinement or deconfinement) remains challenging due to the absence of a local order parameter. In this work, we conduct a percolation...
Efficient computation of topological order
Louis Fraatz, Amit Jamadagni, H. Weimer·Sep 19, 2024
We analyze the computational aspects of detecting topological order in a quantum many-body system. We contrast the widely used topological entanglement entropy with a recently introduced operational definition for topological order based on error cor...
Stability and Loop Models from Decohering Non-Abelian Topological Order.
Pablo Sala, R. Verresen·Sep 18, 2024
Decohering topological order (TO) is central to the many-body physics of open quantum matter and decoding transitions. We identify statistical mechanical models for decohering non-Abelian TOs, which have been crucial for understanding the error thres...
Engineering Topological States and Quantum‐Inspired Information Processing Using Classical Circuits
Tian Chen, Weixuan Zhang, Deyuan Zou +2 more·Sep 16, 2024
Based on the correspondence between circuit Laplacian and Schrodinger equations, recent investigations have shown that classical electric circuits can be used to simulate various topological physics and Schrödinger's equation. Furthermore, a series o...
Simulating a quasiparticle on a quantum device
Rimika Jaiswal, I. Lovas, L. Balents·Sep 13, 2024
We propose a variational approach to explore quasiparticle excitations in interacting quantum many-body systems, motivated by the potential in leveraging near-term noisy intermediate scale quantum devices for quantum state preparation. By exploiting ...
A High-Performance List Decoding Algorithm for Surface Codes with Erroneous Syndrome
Jifan Liang, Qianfan Wang, Lvzhou Li +1 more·Sep 11, 2024
Quantum error-correcting codes (QECCs) are necessary for fault-tolerant quantum computation. Surface codes are a class of topological QECCs that have attracted significant attention due to their exceptional error-correcting capabilities and easy impl...
GAN Decoder on a Quantum Toric Code for Noise‐Robust Quantum Teleportation
Jiaxin Li, Zhimin Wang, Alberto Ferrara +2 more·Sep 11, 2024
A generative adversarial network (GAN)‐based decoder is proposed for quantum topological codes and applied it to enhance a quantum teleportation protocol under depolarizing noise. By constructing and training the GAN's generator and discriminator net...
Variational LOCC-Assisted Quantum Circuits for Long-Range Entangled States.
Yuxuan Yan, Muzhou Ma, You Zhou +1 more·Sep 11, 2024
Long-range entanglement is an important quantum resource, particularly for topological orders and quantum error correction. In reality, preparing long-range entangled states requires a deep unitary circuit, which poses significant experimental challe...
Geometrical Approach to Logical Qubit Fidelities of Neutral Atom CSS Codes
Jasper J. Postema, S. Kokkelmans·Sep 6, 2024
Encoding quantum information in a quantum error correction (QEC) code enhances protection against errors. Imperfection of quantum devices due to decoherence effects will limit the fidelity of quantum gate operations. In particular, neutral atom quant...
An Equivariant Machine Learning Decoder for 3D Toric Codes
Oliver Weissl, E. Egorov·Sep 6, 2024
Research on mitigating errors in computing and communication systems has grown with their widespread use. In quantum computing, error correction is crucial as errors can quickly propagate, undermining results and the theoretical speedup over classica...
Rare Events and Griffiths Phases in Topological Quantum Error Correction
Adithya Sriram, Nicholas O'Dea, Yaodong Li +2 more·Sep 5, 2024
The performance of quantum error correcting (QEC) codes are often studied under the assumption of spatio-temporally uniform error rates. On the other hand, experimental implementations almost always produce heterogeneous error rates, in either space ...