Article
Physics, Multidisciplinary
Edson Donizete de Carvalho, Waldir Silva Soares Jr, Eduardo Brandani da Silva
Summary: In this work, a new type of tessellation induced by an n-dimensional sublattice on an n-dimensional lattice is demonstrated, leading to the derivation of toric codes and color codes with various parameters. Particularly, for n=2, different ways of covering the fundamental units of hexagonal sublattices are obtained through lattice partition, resulting in the construction of new toric codes and color codes in the flat torus.
Article
Optics
Pedro Parrado-Rodriguez, Manuel Rispler, Markus Mueller
Summary: In this study, an efficient decoder for two-dimensional topological color codes on the 4.8.8 lattice was proposed and studied, with a rescaling approach used to process syndrome information and achieve a threshold of 6.0% for code capacity noise.
Article
Multidisciplinary Sciences
Josep Batle
Summary: The interplay between the special 2D lattice and long range dipole-dipole interaction results in the formation of topological defects, specifically vortices. These vortices are explained to be the minimum energy configuration of interacting in-plane 2D dipoles due to spontaneous symmetry breaking. Classic topological structures are observed without non-linearities in the Hamiltonian, unlike in the quantum case.
SCIENTIFIC REPORTS
(2021)
Article
Physics, Multidisciplinary
Olivier Cepas, Peter M. Akhmetiev
Summary: This study establishes a correspondence between invariants in color exchange dynamics on a 2D regular hexagonal lattice and linking numbers in 3D, visualizing the invariants as linking of lines on a special surface. The invariants are interpreted as resulting from an obstruction to transform the surface into its chiral image with special continuous deformations. Additionally, the study considers additional constraints on the dynamics and observes how the surface is modified.
Article
Materials Science, Multidisciplinary
Shifeng Qian, Cheng-Cheng Liu, Yugui Yao
Summary: We propose two mechanisms for realizing the second-order topological insulator (SOTI) state in spinless hexagonal lattices and predict three categories of real light element material candidates with nontrivial band topology characteristics. These candidates exhibit protected corner states with fractional charge and a giant bulk band gap, providing opportunities for experimental verification.
Article
Engineering, Electrical & Electronic
Hiteshvi Manish Solanki, Pradeep Kiran Sarvepalli
Summary: This study focuses on the performance of topological subsystem color codes (TSCCs) over the erasure channel. Two erasure decoders are proposed, employing a mapping of TSCCs to topological color codes (TCCs) and the technique of gauge fixing. Experimental results show the threshold of fault-tolerant gates derived from TSCCs, and the performance can be further improved by combining with an optimal erasure decoder for topological color codes.
IEEE TRANSACTIONS ON COMMUNICATIONS
(2023)
Article
Mathematics
Muhammad Ibrahim, Ana Gulzar, Muhammad Fazil, Muhammad Naeem Azhar
Summary: This study computes the exact value of edge H-irregularity strength for hexagonal and octagonal grid graphs.
JOURNAL OF MATHEMATICS
(2022)
Article
Physics, Fluids & Plasmas
Svetislav Mijatovic, Dragutin Jovkovic, Djordje Spasojevic
Summary: The study provides numerical evidence for the absence of critical behavior of the nonequilibrium athermal random-field Ising model on the hexagonal two-dimensional lattice in adiabatic regime. The results are based on systems with up to 32 768 x 32 768 spins and show differences from previous findings on square and triangular lattices, supporting the hypothesis that the number of nearest neighbors affects model criticality.
Article
Materials Science, Multidisciplinary
Sourav Manna, Snehasish Nandy, Bitan Roy
Summary: Electronic materials host a variety of exotic quantum phases, well characterized in integer dimensions but less explored in fractional dimensions. Researchers theoretically demonstrate a class of crystalline phases on quantum fractals, supporting higher-order topological phases with robust gapless modes on lower-dimensional boundaries. Realizations of second-order topological insulators and superconductors on fractals have been shown, with potential for experimental verification on designer electronic fractal materials and highly tunable metamaterial platforms.
Article
Chemistry, Multidisciplinary
Bhanu Kiran Pothineni, Guido Grundmeier, Adrian Keller
Summary: DNA origami nanostructures are functional materials with potential applications in nanoelectronics and nanophotonics. This study investigates the assembly of hexagonal DNA lattices on oxidized silicon surfaces using atomic force microscopy. The assembly is achieved through a competition of monovalent and divalent cations, with Ca2+ promoting ordered lattices better than Mg2+. The presence of Mg2+ leads to aggregation and multilayer formation of DNA origami at high Na+ concentrations. The formed DNA origami lattices have a lower degree of order compared to those assembled on mica due to a higher desorption rate of the nanostructures.
Article
Physics, Condensed Matter
Xiamin Hao, Weikang Wu, Jiaojiao Zhu, Biyu Song, Qingling Meng, Meimei Wu, Chenqiang Hua, Shengyuan A. Yang, Miao Zhou
Summary: By combining tight-binding modelling with density functional theory based first-principles calculations, the study investigates the band evolution and topological phase transitions in two-dimensional hexagonal lattices with (p(x), p(y)) orbitals. The results demonstrate the potential for the design and preparation of 2D topological materials for novel electronic/spintronic and quantum computing devices, providing insights into the structure-property relationships involving the orbital degree of freedom.
JOURNAL OF PHYSICS-CONDENSED MATTER
(2022)
Article
Physics, Fluids & Plasmas
Quancheng Wang, Zhenfang He, Junfeng Wang, Hao Hu
Summary: This study investigates the percolation of randomly rotating patchy particles on 11 different two-dimensional Archimedean lattices. The research finds that for particles with fewer patches, the critical proportion mainly depends on the geometry of the lattice, while symmetry becomes crucial in determining the critical proportion for particles with more patches. The results provide valuable references for studying the connectivity of patchy particles on two-dimensional lattices at finite temperatures.
Article
Physics, Fluids & Plasmas
Yi Hu, Patrick Charbonneau
Summary: This paper investigates the percolation problem on D-n and E-8 related lattices in high-dimensional systems, obtaining precise estimates for site and bond percolation thresholds through simulation algorithms and comparing them with results from dimensional series expansions. The study reveals that the bond percolation threshold approaches the Bethe lattice limit as dimension increases for high-connectivity lattices, but corrections exhibit unclear trends, and the finite-size scaling exponent for invasion percolation is specific to lattice and percolation type.
Article
Physics, Mathematical
Jeongwan Haah
Summary: The research proves that on a two-dimensional lattice of qudits of a prime dimension, a translation invariant Pauli stabilizer group with local generators and with the code distance being the linear system size can be decomposed by a local Clifford circuit of constant depth into a finite number of copies of the toric code stabilizer group. This means that the number of toric code copies is the complete invariant of topological Pauli stabilizer codes under local Clifford circuits. The previous conclusions were based on assumptions for qubit codes or prime qudit codes, while this study does not make any assumptions.
JOURNAL OF MATHEMATICAL PHYSICS
(2021)
Article
Chemistry, Multidisciplinary
Tieshan Yang, Noah Mendelson, Chi Li, Andreas Gottscholl, John Scott, Mehran Kianinia, Vladimir Dyakonov, Milos Toth, Igor Aharonovich
Summary: The use of SiO2 nanopillars enhances the optically detected magnetic resonance (ODMR) contrast of negatively charged boron vacancy (V-B(-)) emission, which can be used in miniaturized quantum sensors in layered heterostructures.
Article
Biochemical Research Methods
Maina Sogabe, Masayuki Ohzeki, Koji Fujimoto, Atsuko Sehara-Fujisawa, Satoshi Nishimura
JOURNAL OF BIOPHOTONICS
(2020)
Review
Physics, Multidisciplinary
Junya Otsuki, Masayuki Ohzeki, Hiroshi Shinaoka, Kazuyoshi Yoshimi
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2020)
Article
Physics, Multidisciplinary
Masayuki Yamamoto, Masayuki Ohzeki, Kazuyuki Tanaka
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2020)
Article
Multidisciplinary Sciences
Masayuki Ohzeki
SCIENTIFIC REPORTS
(2020)
Article
Physics, Multidisciplinary
Ami S. Koshikawa, Masayuki Ohzeki, Tadashi Kadowaki, Kazuyuki Tanaka
Summary: In this study, an efficient method using inference with a sparse prior for a black-box objective function with binary variables was proposed, obtaining optimal solutions iteratively using a surrogate model in the form of a quadratic unconstrained binary optimization (QUBO) problem. Results showed that the D-Wave quantum annealer and simulated annealing (SA) exhibited superiority in black-box optimization compared to semidefinite programming (SDP), while no significant advantage of the D-Wave quantum annealer over SA was found. The study also highlighted the importance of considering quantum fluctuations in optimizing black-box objective functions.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2021)
Article
Physics, Multidisciplinary
Shunta Arai, Masayuki Ohzeki, Kazuyuki Tanaka
Summary: The study focuses on the generalisation performance of a binary perceptron with quantum fluctuations, showing that quantum fluctuations can enhance its generalisation performance. Through teacher-student learning approach and replica symmetry assumption, robust solutions can be efficiently identified.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2021)
Article
Multidisciplinary Sciences
Takehito Sato, Masayuki Ohzeki, Kazuyuki Tanaka
Summary: The study on quantum annealing explores its potential as a generative model, demonstrating higher performance compared to classical approaches in Boltzmann machine learning. However, issues like remanent quantum fluctuations in the quantum annealer can affect the quality of generated data. Despite this, quantum annealing shows promise in fast sampling and optimization processes.
SCIENTIFIC REPORTS
(2021)
Article
Computer Science, Artificial Intelligence
Utako Yamamoto, Megumi Nakao, Masayuki Ohzeki, Junko Tokuno, Toyofumi Fengshi Chen-Yoshikawa, Tetsuya Matsuda
Summary: This study aims to develop a method for estimating lung deformation from partial observations, successfully capturing highly deformed deflated lungs. The proposed method achieves accurate estimation of lung deformations and is applied in datasets of live beagle dogs.
EXPERT SYSTEMS WITH APPLICATIONS
(2021)
Article
Physics, Multidisciplinary
Takuro Tanaka, Masami Sako, Mahito Chiba, Chul Lee, Hyukgeun Cha, Masayuki Ohzeki
Summary: In order to search for a new chemical material that satisfies the target characteristic value, a large number of experiments and calculations are required due to the astronomically large chemical space. Extracting feature importance is a method to reduce the chemical space and shorten the development time. Quantum computers can generate sampling data faster than classical computers, and this property is utilized to extract feature importance. This paper uses a quantum annealer as a sampler to extract feature importance of material properties. The screening of the chemical space with feature importance shows that the space can be reduced to less than 1%, suggesting the possibility of accelerating material research.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2023)
Article
Physics, Multidisciplinary
Manaka Okuyama, Masayuki Ohzeki
Summary: The Gibbs-Bogoliubov inequality states that the free energy of a system is always lower than that calculated by a trial function. In this study, we show that a counterpart of the Gibbs-Bogoliubov inequality holds on the Nishimori line for Ising spin-glass models with Gaussian randomness. Our inequality states that the quenched free energy of a system is always lower than that calculated using a quenched trial function. The key component of the proof is the convexity of the pressure function E1/2log Z with respect to the parameters along the Nishimori line, which differs from the conventional convexity with respect to the inverse temperature. When our inequality was applied to mean-field models, such as the Sherrington-Kirkpatrick model and p-spin model, the bound coincided with the replica-symmetric solution indicating that the equality holds.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2023)
Article
Physics, Multidisciplinary
Ryo Okugawa, Hiroki Oshiyama, Masayuki Ohzeki
Summary: In this paper, we investigate Loschmidt amplitudes and DQPTs in mirror symmetric topological phases, revealing that mirror symmetry creates symmetry-protected DQPTs. The presence of mirror symmetry allows for topologically robust DQPTs in quantum quenches.
PHYSICAL REVIEW RESEARCH
(2021)
Proceedings Paper
Computer Science, Information Systems
Takayuki Kuroda, Takuya Kuwahara, Kouki Yonaga, Takao Osaki, Masamichi J. Miyama, Masayuki Ohzeki
Summary: This paper presents a novel architecture for a (quasi) optimization problem solver for system designing automation, which efficiently generates constraints from system requirements and utilizes a powerful problem solver for high-speed optimization. Despite technical challenges caused by quantum annealing, the authors propose solutions to constraints with inequalities and coefficient digit overflow. Through experiments, they demonstrate the superior performance and accuracy of their scheme compared to traditional rigorous problem solvers in certain situations, highlighting its potential future utility.
21ST IEEE/ACM INTERNATIONAL SYMPOSIUM ON CLUSTER, CLOUD AND INTERNET COMPUTING (CCGRID 2021)
(2021)
Proceedings Paper
Computer Science, Information Systems
Naoki Ide, Tetsuya Asayama, Hiroshi Ueno, Masayuki Ohzeki
PROCEEDINGS OF 2020 INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY AND ITS APPLICATIONS (ISITA2020)
(2020)
Article
Physics, Multidisciplinary
Yuki Bando, Yuki Susa, Hiroki Oshiyama, Naokazu Shibata, Masayuki Ohzeki, Fernando Javier Gomez-Ruiz, Daniel A. Lidar, Sei Suzuki, Adolfo del Campo, Hidetoshi Nishimori
PHYSICAL REVIEW RESEARCH
(2020)
Article
Physics, Fluids & Plasmas
Ryoji Miyazaki, Yuta Kudo, Masayuki Ohzeki, Kazuyuki Tanaka