Article
Multidisciplinary Sciences
Alistair W. R. Smith, Kiran E. Khosla, Chris N. Self, M. S. Kim
Summary: A new scheme is proposed to more efficiently mitigate qubit readout errors on quantum hardware, consistently giving advantage over previous mitigation schemes. The method reduces the number of calibration measurements for reading out n-qubits, without sacrificing the ability to compensate for correlated errors. This approach can be combined with other methods to simplify mitigation for a large number of qubits.
Article
Materials Science, Multidisciplinary
Yu-Hsueh Chen, Ching-Yu Huang, Ying-Jer Kao
Summary: The research proposes a unified scheme to identify phase transitions out of the Z(2) Abelian topological order, including the transition to a non-Abelian chiral spin liquid. By computing the overlap of minimally entangled states, the study demonstrates the transition between Abelian and non-Abelian topological orders, as well as the transformation of anyons in the process. Furthermore, the research shows that both LG and SG states have infinite correlation length in the non-Abelian regime, consistent with the no-go theorem regarding the gaplessness of a chiral PEPS.
Article
Quantum Science & Technology
Tyler D. Ellison, Yu-An Chen, Arpit Dua, Wilbur Shirley, Nathana Tantivasadakarn, Dominic J. Williamson
Summary: We construct Pauli topological subsystem codes characterized by arbitrary two-dimensional Abelian anyon theories and extend the classification of these codes to systems of composite-dimensional qudits. We exemplify the construction using examples based on the Z((1)) (4) anyon theory and the chiral semion theory. Furthermore, we prove that every Abelian anyon theory is a subtheory of a stack of toric codes and a certain family of twisted quantum doubles. We also generalize the concept of translation-invariant topological subsystem codes and define their associated anyon theories in terms of higher-form symmetries.
Article
Materials Science, Multidisciplinary
Naren Manjunath, Abhinav Prem, Yuan -Ming Lu
Summary: This paper explores the edge physics of systems with nontrivial shift invariants protected by continuous U(1)r or discrete Cn rotation symmetries and internal U(1)c charge conservation. Through analytical and numerical methods, we construct a interface between two systems with the same Chern number but different Wen-Zee shifts, and show the presence of counterpropagating gapless edge modes that cannot be gapped by local symmetry-preserving perturbations. Using Chern-Simons field theory, we prove sufficient conditions for continuous rotation symmetry-protected gapless edge states. For discrete rotation symmetries, we extend the field theory approach to demonstrate the presence of fractional corner charges in Abelian topological orders with gappable edges. Our work lays the foundation for studying the edge physics associated with spatial symmetries in strongly interacting symmetry enriched topological phases.
Article
Materials Science, Multidisciplinary
Ying-Hai Wu, Hong-Hao Tu
Summary: In this study, a chiral spin liquid constructed using the parton theory is investigated. It is found that the edge physics of this state exhibits an emergent SO(5) symmetry, which is calculated by counting the edge states in the low-lying SO(5)1 CFT towers. The entanglement spectrum of the chiral spin liquid generated through tensor network methods confirms the SO(5)1 counting and reveals an additional feature of multiple branches.
Article
Quantum Science & Technology
H. Weisbrich, R. L. Klees, G. Rastelli, W. Belzig
Summary: The research shows that superconducting systems can implement higher-dimensional topology, with the integrated absorption intensity in designed microwave spectroscopy being quantized and directly related to the second Chern number.
Article
Materials Science, Multidisciplinary
Wen-Tao Xu, Norbert Schuch
Summary: This paper extends the use of MPO symmetries as order parameters to study non-Abelian models, specifically investigating the breakdown of topological order in the double Fibonacci and non-Hermitian double Yang-Lee string-net models. By constructing topological order parameters and conducting numerical studies, the critical points and critical exponents of these models are determined.
Article
Materials Science, Multidisciplinary
Yusuke Masaki, Takeshi Mizushima, Muneto Nitta
Summary: In this paper, the researchers demonstrate the existence and stability of non-Abelian half-quantum vortices (HQVs) in P-3(2) superfluids. They find that a singly quantized vortex is destabilized into a pair of two non-Abelian HQVs and each HQV carries a topologically protected Majorana fermion, characterizing twofold non-Abelian anyons.
Article
Physics, Multidisciplinary
Benjamin T. T. Zhou, Shannon Egan, Dhruv Kush, Marcel Franz
Summary: Recent studies have uncovered an exotic spin-triplet valley-singlet superconducting phase in certain two-valley electron liquids. By twisting two layers of these superconductors, a chiral f +/- if'-wave superconducting phase emerges near a maximal twist angle of 30 degrees, resulting in an extrinsic quasi-crystal with 12-fold tiling. This composite system hosts odd numbers of chiral Majorana edge modes and a non-Abelian Majorana zero mode in the vortex core, establishing a route towards non-Abelian topological superconductivity.
COMMUNICATIONS PHYSICS
(2023)
Article
Quantum Science & Technology
Arpit Dua, Tomas Jochym-O'Connor, Guanyu Zhu
Summary: In this study, the performance of fractal surface codes as fault-tolerant quantum memories is investigated. Decoding strategies for bit-flip and phase-flip errors in these codes are proven to exist. The sweep decoder, originally designed for regular 3D surface codes, is successfully adapted to the fractal surface codes by making suitable modifications on the boundaries. The minimum-weight-perfect-matching (MWPM) decoder is employed for phase-flip errors. The results show sustainable fault-tolerant threshold and code capacity threshold for specific fractal surface codes.
Article
Computer Science, Artificial Intelligence
Adnan Siraj Rakin, Zhezhi He, Jingtao Li, Fan Yao, Chaitali Chakrabarti, Deliang Fan
Summary: Traditional DNN security has focused on adversarial input example attacks, but this paper introduces a novel adversarial weight attack. By injecting small faults into weight parameters, this attack can intentionally mislead selected inputs to a target output class with high success rate.
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
(2022)
Article
Physics, Multidisciplinary
Elie Gouzien, Nicolas Sangouard
Summary: The study focuses on the performance of a quantum computer architecture that combines a small processor and a storage unit for integer factorization. By using a temporally and spatially multiplexed memory, the number of processing qubits can be reduced significantly, achieving efficient factorization of large RSA integers.
PHYSICAL REVIEW LETTERS
(2021)
Article
Computer Science, Hardware & Architecture
Liang Liu, Yanan Guo, Yueqiang Cheng, Youtao Zhang, Jun Yang
Summary: A new DRAM-based attack called BFA was developed, which exploits weak cells to manipulate their content. By flipping vulnerable bits using Rowhammer, this attack can crash a targeted deep neural network model. To defend against BFA, a lightweight defense mechanism called RREC was proposed, which obfuscates the bit order of model data and hides vulnerable bits. RREC achieved a significant reduction in bit-flip distance and improved defense rate against both baseline BFA and Targeted-BFA attacks.
IEEE TRANSACTIONS ON COMPUTERS
(2023)
Article
Quantum Science & Technology
C. Berdou, A. Murani, U. Reglade, W. C. Smith, M. Villiers, J. Palomo, M. Rosticher, A. Denis, P. Morfin, M. Delbecq, T. Kontos, N. Pankratova, F. Rautschke, T. Peronnin, L. -A Sellem, P. Rouchon, A. Sarlette, M. Mirrahimi, P. Campagne-Ibarcq, S. Jezouin, R. Lescanne, Z. Leghtas
Summary: Bistable dynamical systems have limitations in encoding quantum information due to their inherent losses. However, a loss mechanism called two-photon dissipation provides stability without inducing decoherence. In this experiment, a superconducting resonator with two-photon dissipation is designed, achieving bit-flip times exceeding 100 s between states containing about 40 photons. This demonstrates the possibility of attaining macroscopic bit-flip times with mesoscopic photon numbers in a two-photon dissipative oscillator.
Article
Computer Science, Theory & Methods
Johannes Bausch, Felix Leditzky
Summary: In this study, numerical lower bounds were computed for the error thresholds of one-parameter families of Pauli quantum channels, revealing substantial increases in error thresholds for regions corresponding to biased noise. Additionally, a new family of quantum codes based on tree graphs was identified, outperforming traditional codes in large regions of the Pauli simplex and showing promising error correction properties.
SIAM JOURNAL ON COMPUTING
(2021)
Article
Physics, Multidisciplinary
James R. Wootton
NEW JOURNAL OF PHYSICS
(2016)
Article
Physics, Multidisciplinary
Benjamin J. Brown, Daniel Loss, Jiannis K. Pachos, Chris N. Self, James R. Wootton
REVIEWS OF MODERN PHYSICS
(2016)
Article
Physics, Multidisciplinary
Benjamin J. Brown, Katharina Laubscher, Markus S. Kesselring, James R. Wootton
Article
Quantum Science & Technology
James R. Wootton
QUANTUM SCIENCE AND TECHNOLOGY
(2020)
Article
Quantum Science & Technology
Jakob M. Guenther, Francesco Tacchino, James R. Wootton, Ivano Tavernelli, Panagiotis Kl Barkoutsos
Summary: This article discusses the importance of implementing error correction or error mitigation schemes to address the noise issues in near term quantum computers. The proposed solution is to use repetition codes with a circular repetition scheme, and its feasibility is validated on IBM Quantum hardware.
QUANTUM SCIENCE AND TECHNOLOGY
(2022)
Article
Physics, Multidisciplinary
James R. Wootton
Summary: Matching codes based on Kitaev's honeycomb lattice model are discussed, which are suitable for the hardware layout of IBM quantum. The stabilizers of the code can be measured through two-body measurements native to the architecture. The results obtained from 27 and 65 qubit devices correspond well to simulations with similar noise strength, indicating the effectiveness of the method.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Proceedings Paper
Computer Science, Artificial Intelligence
James R. Wootton
2020 IEEE CONFERENCE ON GAMES (IEEE COG 2020)
(2020)
Article
Optics
Katharina Laubscher, Daniel Loss, James R. Wootton
Proceedings Paper
Automation & Control Systems
Yehuda Naveh, Elham Kasheti, James R. Wootton, Koen Bertels
PROCEEDINGS OF THE 2018 DESIGN, AUTOMATION & TEST IN EUROPE CONFERENCE & EXHIBITION (DATE)
(2018)
Article
Optics
James R. Wootton, Daniel Loss
Article
Optics
James R. Wootton, Andreas Peter, Janos R. Winkler, Daniel Loss
Article
Materials Science, Multidisciplinary
Chris N. Self, Jiannis K. Pachos, James R. Wootton, Sofyan Iblisdir
Article
Quantum Science & Technology
James R. Wootton
QUANTUM SCIENCE AND TECHNOLOGY
(2017)
Article
Optics
Adrian Hutter, James R. Wootton
Article
Optics
James R. Wootton, Adrian Hutter