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Journal articles on the topic 'Topological Computing'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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1

CHEON, Sangmo. "In Search of Majorana Fermions: Topological Superconductors and Quantum Computing." Physics and High Technology 34, no. 5 (2025): 17–25. https://doi.org/10.3938/phit.34.015.

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The combination of topology and superconductivity has led to the discovery of topological superconductors—quantum phases that host Majorana zero modes (MZMs), exotic quasiparticles with non-Abelian statistics. These modes offer a pathway to fault-tolerant quantum computation, in which quantum information is stored nonlocally and manipulated via topologically protected operations. We review the theoretical foundations of Majorana fermions, the Kitaev chain, and the mathematical structure of topological superconductors. We highlight their potential realization in semiconductor nanowires and also

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2

Scappucci, G., P. J. Taylor, J. R. Williams, T. Ginley, and S. Law. "Crystalline materials for quantum computing: Semiconductor heterostructures and topological insulators exemplars." MRS Bulletin 46, no. 7 (2021): 596–606. http://dx.doi.org/10.1557/s43577-021-00147-8.

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AbstractHigh-purity crystalline solid-state materials play an essential role in various technologies for quantum information processing, from qubits based on spins to topological states. New and improved crystalline materials emerge each year and continue to drive new results in experimental quantum science. This article summarizes the opportunities for a selected class of crystalline materials for qubit technologies based on spins and topological states and the challenges associated with their fabrication. We start by describing semiconductor heterostructures for spin qubits in gate-defined q

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LEE, Hyun-Jung, and Mahn-Soo CHOI. "Applications of Topological Insulators and Topological Quantum Computing." Physics and High Technology 20, no. 3 (2011): 30. http://dx.doi.org/10.3938/phit.20.011.

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4

Vidya S Umadi. "Computing Topological Indices of Certain Networks." Communications on Applied Nonlinear Analysis 31, no. 2 (2024): 416–29. http://dx.doi.org/10.52783/cana.v31.611.

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In mathematical chemistry, topological indices are molecular descriptors that are calculated on the molecular graph of a chemical compound. The molecular graph is a graph which is obtained from some chemical structures. The degree of every molecular graph cannot exceeds 4. Topological indices are numerical quantities of a graph that describe its topology. An atom represents a vertex and a bond between two atoms represents an edge in a molecular graph. Mainly there are three types of topological indices viz., degree-based, distance based and eigenvalue-based topological indices. The first degre

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5

Fowler, A. G., and K. Goyal. "Topological cluster state quantum computing." Quantum Information and Computation 9, no. 9&10 (2009): 721–38. http://dx.doi.org/10.26421/qic9.9-10-1.

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The quantum computing scheme described by Raussendorf et. al (2007), when viewed as a cluster state computation, features a 3-D cluster state, novel adjustable strength error correction capable of correcting general errors through the correction of Z errors only, a threshold error rate approaching 1% and low overhead arbitrarily long-range logical gates. In this work, we review the scheme in detail framing the discussion solely in terms of the required 3-D cluster state and its stabilizers.

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6

Rowell, Eric C., and Zhenghan Wang. "Mathematics of topological quantum computing." Bulletin of the American Mathematical Society 55, no. 2 (2018): 183–238. http://dx.doi.org/10.1090/bull/1605.

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7

Palacio-Morales, Alexandra, Eric Mascot, Sagen Cocklin, et al. "Atomic-scale interface engineering of Majorana edge modes in a 2D magnet-superconductor hybrid system." Science Advances 5, no. 7 (2019): eaav6600. http://dx.doi.org/10.1126/sciadv.aav6600.

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Topological superconductors are predicted to harbor exotic boundary states—Majorana zero-energy modes—whose non-Abelian braiding statistics present a new paradigm for the realization of topological quantum computing. Using low-temperature scanning tunneling spectroscopy, here, we report on the direct real-space visualization of chiral Majorana edge states in a monolayer topological superconductor, a prototypical magnet-superconductor hybrid system composed of nanoscale Fe islands of monoatomic height on a Re(0001)-O(2 × 1) surface. In particular, we demonstrate that interface engineering by an

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8

Wang, Michelle, Cooper Doyle, Bryn Bell, et al. "Topologically protected entangled photonic states." Nanophotonics 8, no. 8 (2019): 1327–35. http://dx.doi.org/10.1515/nanoph-2019-0058.

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AbstractEntangled multiphoton states lie at the heart of quantum information, computing, and communications. In recent years, topology has risen as a new avenue to robustly transport quantum states in the presence of fabrication defects, disorder, and other noise sources. Whereas topological protection of single photons and correlated photons has been recently demonstrated experimentally, the observation of topologically protected entangled states has thus far remained elusive. Here, we experimentally demonstrate the topological protection of spatially entangled biphoton states. We observe rob

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9

Banerjee, Sourav. "Tuneable phononic crystals and topological acoustics." Open Access Government 42, no. 1 (2024): 252–53. http://dx.doi.org/10.56367/oag-042-11436.

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Tuneable phononic crystals and topological acoustics Sourav Banerjee, Professor from the University of South Carolina, navigates the field of tuneable phononic crystals and topological acoustics. Acoustics, an age-old field of study, has recently revealed new physics with new degrees of freedom of wave propagation. These new findings are invaluable for information processing using acoustic modality. Information processing using acoustics is called acoustic computing. Computing Boolean algebra, which has already been demonstrated, could pave the pathways even for quantum computing using acousti

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10

Jahn, M. W., and P. E. Bradley. "COMPUTING WATERTIGHT VOLUMETRIC MODELS FROM BOUNDARY REPRESENTATIONS TO ENSURE CONSISTENT TOPOLOGICAL OPERATIONS." ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences VIII-4/W2-2021 (October 7, 2021): 21–28. http://dx.doi.org/10.5194/isprs-annals-viii-4-w2-2021-21-2021.

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Abstract. To simulate environmental processes, noise, flooding in cities as well as the behaviour of buildings and infrastructure, ‘watertight’ volumetric models are a measuring prerequisite. They ensure topologically consistent 3D models and allow the definition of proper topological operations. However, in many existing city or other geo-information models, topologically unchecked boundary representations are used to store spatial entities. In order to obtain consistent topological models, including their ‘fillings’, in this paper, a triangulation combined with overlay and path-finding metho

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11

Jordan, S. P. "Permutational quantum computing." Quantum Information and Computation 10, no. 5&6 (2010): 470–97. http://dx.doi.org/10.26421/qic10.5-6-7.

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In topological quantum computation the geometric details of a particle trajectory are irrelevant; only the topology matters. Taking this one step further, we consider a model of computation that disregards even the topology of the particle trajectory, and computes by permuting particles. Whereas topological quantum computation requires anyons, permutational quantum computation can be performed with ordinary spin-1/2 particles, using a variant of the spin-network scheme of Marzuoli and Rasetti. We do not know whether permutational computation is universal. It may represent a new complexity clas

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12

Yang, Hong, Chi Zhang, and Lan Zhuo. "Research on Quantum State Implementation Based on Topological Insulators." Journal of Physics: Conference Series 2843, no. 1 (2024): 012019. http://dx.doi.org/10.1088/1742-6596/2843/1/012019.

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Abstract This paper first introduces the mainstream technology route of quantum computing. The analysis provides the role and advantages of topological insulators in quantum computing, such as providing stable quantum bits, enhancing the coherence and non-locality of quantum bits, and enabling the transmission of quantum information and entanglement allocation. This paper then proposes a quantum state implementation scheme based on Bi2Se3, based on the characteristics and advantages of the quantum Hall effect of topological insulators. It includes calculating the eigenstates of the Hamiltonian

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13

Zhao, Weidong, M. C. Shanmukha, A. Usha, Mohammad Reza Farahani, and K. C. Shilpa. "Computing SS Index of Certain Dendrimers." Journal of Mathematics 2021 (September 24, 2021): 1–14. http://dx.doi.org/10.1155/2021/7483508.

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The numerical descriptor gathers the data from the molecular graphs and helps to know the characteristics of the chemical structure known as topological index. The QSAR/QSPR/QSTR studies are benefited with the significant role played by topological indices in the drug design. Topological indices provide the information about the physical/chemical/biological properties of chemical compounds. The Zagreb indices are widely studied because of their extensive usage in chemical graph theory. Inspired by the earlier work on inverse sum indeg index (ISI index), novel topological index known as SS inde

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14

Asselmeyer-Maluga, Torsten. "Topological Quantum Computing and 3-Manifolds." Quantum Reports 3, no. 1 (2021): 153–65. http://dx.doi.org/10.3390/quantum3010009.

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In this paper, we will present some ideas to use 3D topology for quantum computing. Topological quantum computing in the usual sense works with an encoding of information as knotted quantum states of topological phases of matter, thus being locked into topology to prevent decay. Today, the basic structure is a 2D system to realize anyons with braiding operations. From the topological point of view, we have to deal with surface topology. However, usual materials are 3D objects. Possible topologies for these objects can be more complex than surfaces. From the topological point of view, Thurston’

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15

Zhang, Jinying, Yulin Si, Yexiaotong Zhang, Bingnan Wang, and Xinye Wang. "Dual-Band High-Throughput and High-Contrast All-Optical Topology Logic Gates." Micromachines 15, no. 12 (2024): 1492. https://doi.org/10.3390/mi15121492.

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Optical computing offers advantages such as high bandwidth and low loss, playing a crucial role in signal processing, communication, and sensing applications. Traditional optical logic gates, based on nonlinear fibers and optical amplifiers, suffer from poor robustness and large footprints, hindering their on-chip integration. All-optical logic gates based on topological photonic crystals have emerged as a promising approach for developing robust and monolithic optical computing systems. Expanding topological photonic crystal logic gates from a single operating band to dual bands can achieve h

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16

Brennen, Gavin K., and Jiannis K. Pachos. "Why should anyone care about computing with anyons?" Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464, no. 2089 (2007): 1–24. http://dx.doi.org/10.1098/rspa.2007.0026.

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In this article we present a pedagogical introduction of the main ideas and recent advances in the area of topological quantum computation. We give an overview of the concept of anyons and their exotic statistics, present various models that exhibit topological behaviour and establish their relation to quantum computation. Possible directions for the physical realization of topological systems and the detection of anyonic behaviour are elaborated.

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17

RASHID, Muhammad Aamer, Sarfraz AHMAD, Muhammad Kamran SIDDIQUI, and Muhammad NAEEM. "Computing topological indices of crystallographic structures." Revue Roumaine de Chimie 65, no. 5 (2020): 447–59. http://dx.doi.org/10.33224/rrch.2020.65.5.04.

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18

Aguado, Ramón, and Leo P. Kouwenhoven. "Majorana qubits for topological quantum computing." Physics Today 73, no. 6 (2020): 44–50. http://dx.doi.org/10.1063/pt.3.4499.

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19

Bonelli, Giulio, Alessandro Tanzini, and Maxim Zabzine. "Computing amplitudes in topological M-theory." Journal of High Energy Physics 2007, no. 03 (2007): 023. http://dx.doi.org/10.1088/1126-6708/2007/03/023.

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20

Pollner, Péter, and Gábor Vattay. "New Method for Computing Topological Pressure." Physical Review Letters 76, no. 22 (1996): 4155–58. http://dx.doi.org/10.1103/physrevlett.76.4155.

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21

Ahmed, Faisal, and Zhipei Sun. "Empowering neuromorphic computing with topological states." Journal of Semiconductors 45, no. 11 (2024): 110401. http://dx.doi.org/10.1088/1674-4926/24080029.

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22

Giavitto, Jean-Louis, and Olivier Michel. "The Topological Structures of Membrane Computing." Fundamenta Informaticae 49, no. 1-3 (2002): 123–45. https://doi.org/10.3233/fun-2002-491-310.

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In its initial presentation, the P system formalism describes the topology of the membranes as a set of nested regions. In this paper, we present an algebraic structure developped in combinatorial topology that can be used to describe finer adjacency relationships between membranes. Using an appropriate abstract setting, this technical device enables us to reformulate also the computation within a membrane and proposes a unified view on several computational mechanisms initially inspired by biological processes. These theoretical tools are instantiated in MGS, an experimental programming langu

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23

Petre, Luigia, Kaisa Sere, and Marina Waldén. "A Topological Approach to Distributed Computing." Electronic Notes in Theoretical Computer Science 28 (2000): 59–80. http://dx.doi.org/10.1016/s1571-0661(05)80630-9.

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24

Yokoyama, Misako. "Computing topological degree using noisy information." Journal of Complexity 6, no. 4 (1990): 379–88. http://dx.doi.org/10.1016/0885-064x(90)90029-d.

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25

Assenov, Yassen, Fidel Ramírez, Sven-Eric Schelhorn, Thomas Lengauer, and Mario Albrecht. "Computing topological parameters of biological networks." Bioinformatics 24, no. 2 (2007): 282–84. http://dx.doi.org/10.1093/bioinformatics/btm554.

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26

Melent'ev, Victor Aleksandrovich. "ABOUT TOPOLOGICAL COMPACTNESS OF COMPUTING SYSTEMS." Theoretical & Applied Science 19, no. 11 (2014): 59–65. http://dx.doi.org/10.15863/tas.2014.11.19.12.

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27

Gao, Wei, Muhammad Imran, Abdul Qudair Baig, Haidar Ali, and Mohammad Reza Farahani. "Computing topological indices of Sudoku graphs." Journal of Applied Mathematics and Computing 55, no. 1-2 (2016): 99–117. http://dx.doi.org/10.1007/s12190-016-1027-6.

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28

Spandl, Christoph. "Computing the topological entropy of shifts." MLQ 53, no. 4-5 (2007): 493–510. http://dx.doi.org/10.1002/malq.200710014.

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29

Spandl, Christoph. "Computing the Topological Entropy of Shifts." Electronic Notes in Theoretical Computer Science 167 (January 2007): 131–55. http://dx.doi.org/10.1016/j.entcs.2006.08.011.

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30

S Shenbaga Devi. "Computing topological indices of Porous Graphene." Advances in Nonlinear Variational Inequalities 28, no. 6s (2025): 827–35. https://doi.org/10.52783/anvi.v28.4429.

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Topological indices in chemical graph theory helps to quantify the molecular structure and to analyse the correlation of the structures using physical, chemical, and biological properties. In this paper, we have discussed several degree-based topological indices like first hyper zagreb, second hyper zagreb, reduced second Zagreb, forgotten, harmonic, sombor, arithmetic geometric, reduced reciprocal randic and SS indices for porous graphene. This will be useful for determining the relationship between the mathematical qualities and the characteristics of a specific chemical compound. This study

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31

Amaral, Marcelo, David Chester, Fang Fang, and Klee Irwin. "Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing." Symmetry 14, no. 9 (2022): 1780. http://dx.doi.org/10.3390/sym14091780.

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The concrete realization of topological quantum computing using low-dimensional quasiparticles, known as anyons, remains one of the important challenges of quantum computing. A topological quantum computing platform promises to deliver more robust qubits with additional hardware-level protection against errors that could lead to the desired large-scale quantum computation. We propose quasicrystal materials as such a natural platform and show that they exhibit anyonic behavior that can be used for topological quantum computing. Different from anyons, quasicrystals are already implemented in lab

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32

Edwards, Chris. "Tales of Topological Qubits." Communications of the ACM 66, no. 12 (2023): 8–10. http://dx.doi.org/10.1145/3624436.

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33

Gu, Lili, Shamaila Yousaf, Akhlaq Ahmad Bhatti, Peng Xu, and Adnan Aslam. "Computing Some Degree-Based Topological Indices of Honeycomb Networks." Complexity 2022 (January 4, 2022): 1–13. http://dx.doi.org/10.1155/2022/2771059.

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A topological index is a numeric quantity related with the chemical composition claiming to correlate the chemical structure with different chemical properties. Topological indices serve to predict physicochemical properties of chemical substance. Among different topological indices, degree-based topological indices would be helpful in investigating the anti-inflammatory activities of certain chemical networks. In the current study, we determine the neighborhood second Zagreb index and the first extended first-order connectivity index for oxide network O X n , silicate network S L n , chain si

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34

Zhang, Xiujun, Nazeran Idrees, Salma Kanwal, Muhammad Jawwad Saif, and Fatima Saeed. "Computing Topological Invariants of Deep Neural Networks." Computational Intelligence and Neuroscience 2022 (October 7, 2022): 1–11. http://dx.doi.org/10.1155/2022/9051908.

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A deep neural network has multiple layers to learn more complex patterns and is built to simulate the activity of the human brain. Currently, it provides the best solutions to many problems in image recognition, speech recognition, and natural language processing. The present study deals with the topological properties of deep neural networks. The topological index is a numeric quantity associated to the connectivity of the network and is correlated to the efficiency and accuracy of the output of the network. Different degree-related topological indices such as Zagreb index, Randic index, atom

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35

Ehrhardt, Max, Christoph Dittel, Matthias Heinrich, and Alexander Szameit. "Topological Hong-Ou-Mandel interference." Science 384, no. 6702 (2024): 1340–44. http://dx.doi.org/10.1126/science.ado8192.

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The interplay of topology and optics provides a route to pursue robust photonic devices, with the application to photonic quantum computation in its infancy. However, the possibilities of harnessing topological structures to process quantum information with linear optics, through the quantum interference of photons, remain largely uncharted. Here, we present a Hong-Ou-Mandel interference effect of topological origin. We show that this interference of photon pairs—ranging from constructive to destructive—is solely determined by a synthetic magnetic flux, rendering it resilient to errors on a fu

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36

Kotlyar, Victor V., Alexey A. Kovalev, Elena S. Kozlova, and Alexandra A. Savelyeva. "Tailoring the Topological Charge of a Superposition of Identical Parallel Laguerre–Gaussian Beams." Micromachines 13, no. 12 (2022): 2227. http://dx.doi.org/10.3390/mi13122227.

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In optical computing machines, data can be transmitted by optical vortices, and the information can be encoded by their topological charges. Thus, some optical mechanisms are needed for performing simple arithmetic operations with the topological charges. Here, a superposition of several parallel identical Laguerre–Gaussian beams with single rings is studied. It is analytically and numerically shown that if the weighting coefficients of the superposition are real, then the total topological charge of the superposition is equal to the topological charge of each component in the initial plane an

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37

Kaiser, Uwe. "A short survey of quantum computing." Journal of Knot Theory and Its Ramifications 26, no. 03 (2017): 1741004. http://dx.doi.org/10.1142/s0218216517410048.

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Quantum computing is closely related to [Formula: see text]-dimensional topological quantum field theory through its approach in topological quantum computation. The following are notes based on lectures given by the author at the Mathematics Department of George Washington University. The idea is to give a brief introduction and survey of a few basic facts of quantum computing to an audience of non-experts interested in taking a quick look at some of the most important concepts of quantum computing. The author is a topologist with strong interest in the general ideas of quantum computing. The

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38

Chu, Chun-Guang, An-Qi Wang, and Zhi-Min Liao. "Josephson effect in topological semimetal-superconductor heterojunctions." Acta Physica Sinica 72, no. 8 (2023): 087401. http://dx.doi.org/10.7498/aps.72.20230397.

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Topological semimetals are exotic phases of quantum matter with gapless electronic excitation protected by symmetry. Benefitting from its unique relativistic band dispersion, topological semimetals host abundant quantum states and quantum effects, esuch as Fermi-arc surface states and chiral anomaly. In recent years, due to the potential application in topological quantum computing, the hybrid system of topology and superconductivity has aroused wide interest in the community. Recent experimental progress of topological semimetal-superconductor heterojunctions is reviewed in two aspects: 1) Jo

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39

DEVITT, SIMON J., AUSTIN G. FOWLER, TODD TILMA, W. J. MUNRO, and KAE NEMOTO. "CLASSICAL PROCESSING REQUIREMENTS FOR A TOPOLOGICAL QUANTUM COMPUTING SYSTEM." International Journal of Quantum Information 08, no. 01n02 (2010): 121–47. http://dx.doi.org/10.1142/s021974991000637x.

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Dedicated research into the design and construction of a large-scale Quantum Information Processing (QIP) system is a complicated task.The design of an experimentally feasible quantum processor must draw upon results in multiple fields; from experimental efforts in system control and fabrication through to far more abstract areas such as quantum algorithms and error correction. Recently, the adaptation of topological coding models to physical systems in optics has illustrated a possible long-term pathway to truly large-scale QIP. As the topological model has well-defined protocols for Quantum

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40

Idrees, Nazeran, Raghisa Khalid, Fozia Bashir Farooq, and Sumiya Nasir. "Computing Topological Invariants of Triangular Chandelier Lattice." Computers, Materials & Continua 63, no. 3 (2020): 1119–32. http://dx.doi.org/10.32604/cmc.2020.08166.

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41

V Patil, Prashant, and Rahul Munavalli V. "Computing topological indices of certain windmill graphs." Journal of Computational Mathematica 6, no. 1 (2022): 001–14. http://dx.doi.org/10.26524/cm117.

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Let V (G), be the vertex set of graph G, we define Vd = {v ∈ V (G) : SG(u) = d} in which SG(u) = ∑v∈NG(u) dG(v) and NG(u) = {v ∈ V(G) : uv ∈ E(G)}. In this paper we express the explicit formula for Sanskruti index S(G), fth M1 and M2 Zagreb indices, fifth M1 and M2 multiplicative Zagreb indices for Dutch windmill graph, Kulli cyclic windmill graph, Kulli path windmill graph and French windmill graph.

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42

Horsman, Clare. "Quantum picturalism for topological cluster-state computing." New Journal of Physics 13, no. 9 (2011): 095011. http://dx.doi.org/10.1088/1367-2630/13/9/095011.

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43

Ebrahimi, Mahmood, and Mehdi Alaeiyan. "New Method for Computing Some Topological Indices." Journal of Computational and Theoretical Nanoscience 12, no. 10 (2015): 3527–30. http://dx.doi.org/10.1166/jctn.2015.4233.

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44

Imran, Muhammad, Abdul Qudair Baig, Shafiq Ur Rehman, Haidar Ali, and Roslan Hasni. "Computing topological polynomials of mesh-derived networks." Discrete Mathematics, Algorithms and Applications 10, no. 06 (2018): 1850077. http://dx.doi.org/10.1142/s1793830918500775.

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Topological descriptors are numerical parameters of a molecular graph which characterize its molecular topology and are usually graph invariant. In QSAR/QSPR study, physico-chemical properties and topological indices such as Randić, atom-bond connectivity [Formula: see text] and geometric-arithmetic (GA) index are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. The counting polynomials are those polynomials having at exponent the extent of a property partition and coefficients the multiplicity/occurrence of the correspo

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45

DILÃO, RUI, and JOSÉ AMIGÓ. "COMPUTING THE TOPOLOGICAL ENTROPY OF UNIMODAL MAPS." International Journal of Bifurcation and Chaos 22, no. 06 (2012): 1250152. http://dx.doi.org/10.1142/s0218127412501520.

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We derive an algorithm to determine recursively the lap number (minimal number of monotone pieces) of the iterates of unimodal maps of an interval with free end-points. For this family of maps, the kneading sequence does not determine the lap numbers. The algorithm is obtained by the sign analysis of the itineraries of the critical point and of the boundary points of the interval map. We apply this algorithm to the estimation of the growth number and the topological entropy of maps with direct and reverse bifurcations.

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46

Burton, P. J., and M. D. Gould. "Unitary R-matrices for topological quantum computing." Reports on Mathematical Physics 57, no. 1 (2006): 89–96. http://dx.doi.org/10.1016/s0034-4877(06)80010-8.

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47

Sakkalis, Takis, and Zenon Ligatsikas. "Computing the topological degree of polynomial maps." Bulletin of the Australian Mathematical Society 56, no. 1 (1997): 87–94. http://dx.doi.org/10.1017/s0004972700030768.

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Let C be a cube in Rn+1 and let F = (f1, …, fn+1) be a polynomial vector field. In this note we propose a recursive algorithm for the computation of the degree of F on C. The main idea of the algorithm is that the degree of F is equal to the algebraic sum of the degrees of the map (f1, f2, …, fi−1, fi, fi+1, …, fn+1) over all sides of C, thereby reducing an (n + 1)–dimensional problem to an n–dimensional one.

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48

Liu, Jia-Bao, Wei Gao, Muhammad Kamran Siddiqui, and Muhammad Reza Farahani. "Computing three topological indices for Titania nanotubes." AKCE International Journal of Graphs and Combinatorics 13, no. 3 (2016): 255–60. http://dx.doi.org/10.1016/j.akcej.2016.07.001.

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49

Block, Louis, James Keesling, Shihai Li, and Kevin Peterson. "An improved algorithm for computing topological entropy." Journal of Statistical Physics 55, no. 5-6 (1989): 929–39. http://dx.doi.org/10.1007/bf01041072.

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50

Webster, Paul. "Topological Quantum Computing in Multiple Surface Codes." Quantum Views 4 (April 6, 2020): 34. http://dx.doi.org/10.22331/qv-2020-04-06-34.

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