Papers
Live trends in quantum computing research, updated daily from arXiv.
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Quantum simulation of the phase transition of the massive Thirring model
Jia-Qi Gong, Ji-Chong Yang·Dec 1, 2024
Recent advancements in quantum computing technology have enabled the study of fermionic systems at finite temperature via quantum simulations. This presents a novel approach to investigating the chiral phase transition in such systems. Among these, t...
Generating non-Clifford gate operations through exact mapping between Majorana fermions and Z4 parafermions
Ali Hamed Safwan, R. W. Bomantara·Nov 27, 2024
Majorana fermions and their generalizations to Zn parafermions are considered promising building blocks of fault-tolerant quantum computers for their ability to encode quantum information nonlocally. In such topological quantum computers, highly robu...
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
Po-Shen Hsin, Ryohei Kobayashi, Guanyu Zhu·Nov 24, 2024
We systematically construct and classify fault-tolerant logical gates implemented by constant-depth circuits for quantum codes using cohomology operations and symmetry. These logical gates are obtained from unitary operators given by symmetry-protect...
Degenerate quantum erasure decoding
Kao-Yueh Kuo, Yingkai Ouyang·Nov 20, 2024
Erasures are the primary type of errors in physical systems dominated by leakage errors. While quantum error correction (QEC) using stabilizer codes can combat erasure errors, it remains unknown which constructions achieve capacity performance. If ...
A universal circuit set using the S3 quantum double
Liyuan Chen, Yuanjie Ren, Ruihua Fan +1 more·Nov 14, 2024
One potential route toward fault-tolerant universal quantum computation is to use non-Abelian topological codes. In this work, we investigate how to achieve this goal with the quantum double model D(S3)\documentclass[12pt]{minimal} \usepackage{amsmat...
Cavity-Vacuum-Induced Chiral Spin Liquids in Kagome Lattices: Tuning and Probing Topological Quantum Phases via Cavity Quantum Electrodynamics
Chenan Wei, Liu Yang, Qing-Dong Jiang·Nov 12, 2024
Topological phases in frustrated quantum magnetic systems have captivated researchers for decades, with the chiral spin liquid (CSL) standing out as one of the most compelling examples. Featured by long-range entanglement, topological order, and exot...
Topological stabilizer models on continuous variables
Julio C. Magdalena de la Fuente, Tyler D. Ellison, Meng Cheng +1 more·Nov 7, 2024
We construct a family of two-dimensional topological stabilizer codes on continuous variable (CV) degrees of freedom, which generalize homological rotor codes and the toric-GKP code. Our topological codes are built using the concept of boson condensa...
Processing and Decoding Rydberg Decay Error with MBQC
Cheng-Cheng Yu, Zi-Han Chen, Yu-Hao Deng +3 more·Nov 7, 2024
Achieving fault-tolerant quantum computing with neutral atom necessitates careful consideration of the errors inherent to this system. One typical error is the leakage from Rydberg states during the implementation of multi-qubit gates, which may prop...
Topological modes in monitored quantum dynamics
Haining Pan, Hassan Shapourian, Chao-Ming Jian·Nov 6, 2024
Dynamical quantum systems both driven by unitary evolutions and monitored through measurements have proved to be fertile ground for exploring new dynamical quantum matters. While the entanglement structure and symmetry properties of monitored systems...
HetEC: Architectures for Heterogeneous Quantum Error Correction Codes
S. Stein, Shifan Xu, Andrew W. Cross +9 more·Nov 5, 2024
Quantum Error Correction (QEC) is essential for future quantum computers due to its ability to exponentially suppress physical errors. The surface code is a leading error-correcting code candidate because of its local topological structure, experimen...
Mixed-State Topological Order under Coherent Noises
Seunghun Lee, Eun-Gook Moon·Nov 5, 2024
Mixed-state phases of matter under local decoherence have recently garnered significant attention due to the ubiquitous presence of noise in current quantum processors. One of the key issues is understanding how topological quantum memory is affected...
Adiabatic state preparation for digital quantum simulations of QED in 1 + 1D
Matteo D’Anna, M. K. Marinković, Joao C. Pinto Barros·Nov 1, 2024
Quantum electrodynamics in 1 + 1D (QED2) shares intriguing properties with QCD, including confinement, string breaking, and interesting phase diagram when the non-trivial topological $\theta$-term is considered. Its lattice regularization is a common...
Topologically protected Bell-cat states in a simple spin model
B. Lajci, D. H. J. O'Dell, J. Mumford·Oct 31, 2024
We consider the topological properties of the so-called central spin model that consists of $N$ identical spins coupled to a single distinguishable central spin which arises in physical systems such as circuit-QED and bosonic Josephson junctions coup...
Error Threshold of SYK Codes from Strong-to-Weak Parity Symmetry Breaking
Jaewon Kim, E. Altman, Jong Yeon Lee·Oct 31, 2024
Quantum error correction (QEC) codes are fundamentally linked to quantum phases of matter: the degenerate ground state manifold corresponds to the code space, while topological excitations represent error syndromes. Building on this concept, the Sach...
Many-Body Quantum Catalysts for Transforming Between Phases of Matter
David T. Stephen, Rahul Nandkishore, Jian-Hao Zhang·Oct 30, 2024
A catalyst is a substance that enables otherwise impossible transformations between states of a system, without being consumed in the process. In this work, we apply the notion of catalysts to many-body quantum physics. In particular, we construct ca...
Designing Majorana Quasiparticles in InAsP Quantum Dots in InP Nanowires with Variational Quantum Eigenvalue Solver
Mahan Mohseni, Iann Cunha, D. Miravet +5 more·Oct 29, 2024
This work presents steps toward the design of Majorana zero modes (MZM) in InAsP quantum dots embedded in an InP semiconducting nanowire in contact with a p‐type superconductor described by the Kitaev Hamiltonian. The single‐particle spectrum is obta...
Stabilizing Non-Abelian Topological Order against Heralded Noise via Local Lindbladian Dynamics
Sanket Chirame, Abhinav Prem, Sarang Gopalakrishnan +1 more·Oct 28, 2024
An important open question for the current generation of highly controllable quantum devices is understanding which phases can be realized as stable steady-states under local quantum dynamics. In this work, we show how robust steady-state phases with...
Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly
Jing-Ren Zhou, Zheng-Cheng Gu·Oct 24, 2024
The interplay between symmetry and topological properties plays a very important role in modern physics. In the past decade, the concept of symmetry-enriched topological (SET) phases was proposed and their classifications have been systematically stu...
Topological quantum computing
Fabian Hassler·Oct 17, 2024
These lecture notes offer a pedagogical yet concise introduction to topological quantum computing. The material focuses on topological superconductors and Majorana qubits. It concludes with a discussion of more general braiding phenomena. In particul...
Single-shot and measurement-based quantum error correction via fault complexes
Timo Hillmann, G. Dauphinais, I. Tzitrin +1 more·Oct 16, 2024
Photonics provides a viable path to a scalable fault-tolerant quantum computer. The natural framework for this platform is measurement-based quantum computation, where fault-tolerant graph states supersede traditional quantum error-correcting codes. ...