Relevant bibliographies by topics / Topological Qubits

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Topological Qubits'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Topological Qubits"

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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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Sun, Xiaopei, Bing Li, Enna Zhuo, et al. "Realization of superconducting transmon qubits based on topological insulator nanowires." Applied Physics Letters 122, no. 15 (2023): 154001. http://dx.doi.org/10.1063/5.0140079.

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Topological-material-based Josephson junctions have the potential to be used to host Majorana zero modes and to construct topological qubits. For operating the topological qubits at an appropriate timescale to avoid decoherence and quasiparticle poisoning, one would eventually go to the time domain and embed the topological qubits into quantum electrodynamic circuits. Here, we constructed a topological-insulator-nanowire-based transmon qubit and demonstrated its strong coupling to a coplanar waveguide resonator. The flux-tunable spectrum and Rabi oscillations with a qubit lifetime [Formula: se
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Chao, Rui, Michael E. Beverland, Nicolas Delfosse, and Jeongwan Haah. "Optimization of the surface code design for Majorana-based qubits." Quantum 4 (October 28, 2020): 352. http://dx.doi.org/10.22331/q-2020-10-28-352.

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The surface code is a prominent topological error-correcting code exhibiting high fault-tolerance accuracy thresholds. Conventional schemes for error correction with the surface code place qubits on a planar grid and assume native CNOT gates between the data qubits with nearest-neighbor ancilla qubits.Here, we present surface code error-correction schemes using only Pauli measurements on single qubits and on pairs of nearest-neighbor qubits. In particular, we provide several qubit layouts that offer favorable trade-offs between qubit overhead, circuit depth and connectivity degree. We also dev
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Ahsan, Muhammad, and Syed Abbas Zilqurnain Naqvi. "Performance of topological quantum error correction in the presence of correlated noise." Quantum Information and Computation 18, no. 9&10 (2018): 743–78. http://dx.doi.org/10.26421/qic18.9-10-2.

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We investigate the efficacy of topological quantum error-correction in correlated noise model which permits collective coupling of all the codeword qubits to the same non-Markovian environment. In this noise model, the probability distribution over set of phase-flipped qubits, decays sub-exponentially in the size of the set and carries non-trivial likelihood of the occurring large numbers of qubits errors. We find that in the presence of noise correlation, one cannot guarantee arbitrary high computational accuracy simply by incrementing the codeword size while retaining constant noise level pe
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Oreg, Yuval, and Felix von Oppen. "Majorana Zero Modes in Networks of Cooper-Pair Boxes: Topologically Ordered States and Topological Quantum Computation." Annual Review of Condensed Matter Physics 11, no. 1 (2020): 397–420. http://dx.doi.org/10.1146/annurev-conmatphys-031218-013618.

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Recent experimental progress introduced devices that can combine topological superconductivity with Coulomb-blockade effects. Experiments with these devices have already provided additional evidence for Majorana zero modes in proximity-coupled semiconductor wires. They also stimulated numerous ideas for how to exploit interactions between Majorana zero modes generated by Coulomb charging effects in networks of Majorana wires. Coulomb effects promise to become a powerful tool in the quest for a topological quantum computer as well as for driving topological superconductors into topologically or
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Planat, Michel, David Chester, Marcelo M. Amaral, and Klee Irwin. "Fricke Topological Qubits." Quantum Reports 4, no. 4 (2022): 523–32. http://dx.doi.org/10.3390/quantum4040037.

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We recently proposed that topological quantum computing might be based on SL(2,C) representations of the fundamental group π1(S3\K) for the complement of a link K in the three-sphere. The restriction to links whose associated SL(2,C) character variety V contains a Fricke surface κd=xyz−x2−y2−z2+d is desirable due to the connection of Fricke spaces to elementary topology. Taking K as the Hopf link L2a1, one of the three arithmetic two-bridge links (the Whitehead link 512, the Berge link 622 or the double-eight link 632) or the link 732, the V for those links contains the reducible component κ4,
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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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Jaeger, Gregg, David Simon, and Alexander Sergienko. "Topological Qubits as Carriers of Quantum Information in Optics." Applied Sciences 9, no. 3 (2019): 575. http://dx.doi.org/10.3390/app9030575.

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Winding number is a topologically significant quantity that has found valuable applications in various areas of mathematical physics. Here, topological qubits are shown capable of formation from winding number superpositions and so of being used in the communication of quantum information in linear optical systems, the most common realm for quantum communication. In particular, it is shown that winding number qubits appear in several aspects of such systems, including quantum electromagnetic states of spin, momentum, orbital angular momentum, polarization of beams of particles propagating in f
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PAVLYUKH, YAROSLAV, and A. R. P. RAU. "1-, 2-, AND 6-QUBITS, AND THE RAMANUJAN–NAGELL THEOREM." International Journal of Quantum Information 11, no. 06 (2013): 1350056. http://dx.doi.org/10.1142/s0219749913500561.

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A conjecture of Ramanujan that was later proved by Nagell is used to show on the basis of matching dimensions that only three n-qubit systems, for n = 1, 2, 6, can possibly share an isomorphism of their symmetry algebras with those of rotations in corresponding dimensions 3, 6, 91. Such isomorphisms are valuable for use in quantum information. Simple algebraic analysis, however, already rules out the last case so that one and two qubits are the only instances of such isomorphism of the algebras and of a local homomorphism of the corresponding symmetry groups. A more mathematical topological an
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Hill, Charles D., Eldad Peretz, Samuel J. Hile, et al. "A surface code quantum computer in silicon." Science Advances 1, no. 9 (2015): e1500707. http://dx.doi.org/10.1126/sciadv.1500707.

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The exceptionally long quantum coherence times of phosphorus donor nuclear spin qubits in silicon, coupled with the proven scalability of silicon-based nano-electronics, make them attractive candidates for large-scale quantum computing. However, the high threshold of topological quantum error correction can only be captured in a two-dimensional array of qubits operating synchronously and in parallel—posing formidable fabrication and control challenges. We present an architecture that addresses these problems through a novel shared-control paradigm that is particularly suited to the natural uni
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Dissertations / Theses on the topic "Topological Qubits"

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Higginbotham, Andrew Patrick. "Quantum Dots for Conventional and Topological Qubits." Thesis, Harvard University, 2015. http://nrs.harvard.edu/urn-3:HUL.InstRepos:23845477.

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This thesis presents a series of quantum dot studies, performed with an eye towards improved conventional and topological qubits. Chapters 1-3 focus on improved conventional (spin) qubits; Chapters 4-6 focus on the topological Majorana qubits. Chapter 1 presents the first investigation of Coulomb peak height distributions in a spin-orbit coupled quantum dot, realized in a Ge/Si nanowire. Strong spin-orbit coupling in this hole-gas system leads to antilocalization of Coulomb blockade peaks, consistent with theory. In particular, the peak height distribution has its maximum away from zero at ze
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Dhungana, Daya Sagar. "Growth of InAs and Bi1-xSBx nanowires on silicon for nanoelectronics and topological qubits by molecular beam epitaxy." Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30150/document.

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Grâce à leur propriétés uniques, les nanofils d'InAs et de Bi1-xSbx sont important pour les domaines de la nanoélectronique et de l'informatique quantique. Alors que la mobilité électronique de l'InAs est intéressante pour les nanoélectroniques; l'aspect isolant topologique du Bi1-xSbx peut être utilisé pour la réalisation de Qubits basés sur les fermions de Majorana. Dans les deux cas, l'amélioration de la qualité du matériau est obligatoire et ceci est l'objectif principal cette thèse ou` nous étudions l'intégration des nanofils InAs sur silicium (compatibles CMOS) et où nous développons un
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Pop, Ioan Mihai. "Sauts quantiques de phase dans des chaînes de jonctions Josephson." Phd thesis, Université de Grenoble, 2011. http://tel.archives-ouvertes.fr/tel-00586075.

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Nous avons étudié la dynamique des sauts quantiques de phase (quantum phase-slips) dans différents types de chaînes de jonctions Josephson. Les sauts de phase sont contrôlés par le rapport entre l'énergie Josephson et l'énergie de charge de chaque jonction. Nous avons mesuré l'effet des sauts de phase sur l'état fondamental de la chaîne et nous avons observé l'interférence quantique de sauts de phase (effet Aharonov-Casher). Les résultats de nos mesures sont en très bon accord avec les prédictions théoriques. Nous avons montré qu'une chaîne de jonctions Josephson polarisée en phase, présente u
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Chang, Chi, and 張齊. "Optimization of Quantum Energy Teleportation for Topological Qubits." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/25023926102452638473.

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碩士<br>國立臺灣師範大學<br>物理學系<br>104<br>Quantum energy teleportation is a protocol that the energy can be teleported by local operations and classical communication. The Hotta's two-qubit model of QET is reviewed. The topological ordered system is a good system for quantum information and quantum computation because of its robustness. The topological qubit is one kind of topological ordered system. Each topological qubit is composed with two Majorana modes of a 1D Kitaev's chain. The Hotta's qubit model can be expressed in terms of Majorana modes. For the viable cases of QET, they follow three condit
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Zhong, Janet. "Topology and Interactions in a Qubit Array Coupled to a Waveguide." Thesis, 2019. http://hdl.handle.net/1885/202446.

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Waveguide quantum electrodynamic (waveguide QED) systems (arrays of qubits coupled to a waveguide) can exhibit a vast array of phenomena from collective effects, non-trivial topology to novel localisation effects. This thesis is the first study of a long-range coupled topological waveguide QED system. The existence of topological edge states for when one photon is incident on a spatially modulated qubit array is numerically verified and the results are analogous to a photonic crystal set-up in Ref. [1]. This thesis then goes beyond the single photon
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Wong, Mandy Man Chu. "Quantum dimer model and its application in topologically protected qubit." Thesis, 2006. http://hdl.handle.net/2429/18184.

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Quantum dimer model (QDM) is a paradigm for the study of high-Tc superconductivity. We review the history of this model and its properties with emphasis on the critical behaviour and excitation. We review the method of mapping the QDM into three different models; the Ising model, the height model, and Polyakov’s compact QED. The duality relation between the height model and Polyakov’s compact QED in the QDM limit is investigated. We review a new application of QDM in quantum computing. The triangular dimer model can serve as a suitable candidate for topologically protected qubit. Finally, a sp
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Books on the topic "Topological Qubits"

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Quantum Computation with Topological Codes: From Qubit to Topological Fault-Tolerance. Springer, 2015.

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Fujii, Keisuke. Quantum Computation with Topological Codes: From Qubit to Topological Fault-Tolerance. Springer, 2016.

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Fujii, Keisuke. Quantum Computation with Topological Codes: From Qubit to Topological Fault-Tolerance. Springer, 2015.

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Satija, Indubala I. The Wonder of Quantum Spin. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/oso/9780198884859.001.0001.

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Abstract The Wonder of Quantum Spin is a confection of the history and the science of quantum spin covering two centuries of the golden era in mathematics and physics. First glimpses of spin appeared nearly 200 years ago in the study of rotations where spinors emerged as a new entity that changes sign after a 360 degree rotation, reminiscent of the Mobius geometry. A century later, quantum spin described by the spinor was discovered in physics. Among many other things, it led to the discovery of antimatter, raised the possibility of parity violation, and gave the first warning that protons and
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Book chapters on the topic "Topological Qubits"

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Brison, Jean-Pascal. "p-Wave Superconductivity and d-Vector Representation." In Springer Proceedings in Physics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64623-3_6.

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AbstractSince the mid-80s, new classes of superconductors have been discovered in which the origin of superconductivity cannot be attributed to the electron–ion interactions at the heart of conventional superconductivity. Most of these unconventional superconductors are strongly correlated electron systems, and identifying (or even more difficult, predicting) the precise superconducting state has been, and sometimes remains, an actual challenge. However, in most cases, it has been demonstrated that in these materials the spin state of the Cooper pairs is a singlet state, often associated with
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Hays, Max. "What Would Happen in a Topological Weak Link?" In Realizing an Andreev Spin Qubit. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-83879-9_9.

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Binti Adnan, Nurul Ain, Shigeru Yamashita, Simon J. Devitt, and Kae Nemoto. "2D Qubit Layout Optimization for Topological Quantum Computation." In Reversible Computation. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08494-7_14.

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Pasupuleti, Murali Krishna. "Next-Gen Quantum Chips: Breakthroughs in Superconducting and Topological Qubits." In Quantum Computing Chips: Advances in Superconducting and Topological Qubits. National Education Services, 2025. https://doi.org/10.62311/nesx/97977.

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Abstract: The rapid advancement of quantum computing is largely driven by innovations in quantum chip architectures, with superconducting and topological qubits emerging as the most promising candidates for scalable and fault-tolerant quantum processors. Superconducting qubits, built using Josephson junctions, have demonstrated significant progress in coherence time, gate fidelity, and quantum error correction, making them the backbone of leading quantum processors such as IBM’s Eagle and Google’s Sycamore. Meanwhile, topological qubits, based on Majorana zero modes (MZMs) and non-Abelian anyo
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Mummadi, Swathi, and Gnaneshwara Chary Udari. "Quantum Error Correction." In Advances in Computational Intelligence and Robotics. IGI Global, 2025. https://doi.org/10.4018/979-8-3693-6225-9.ch005.

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Quantum Error Correction (QEC) is essential for overcoming the fragility of qubits, enabling reliable and scalable quantum computing by mitigating the effects of noise, decoherence, and operational errors. This chapter explores QEC's foundational principles, including error types, noise impact, and syndrome measurement techniques for identifying and correcting errors. It covers key codes such as Shor and Steane, which provide basic error protection, and advanced codes like concatenated codes, surface codes, and quantum Low-Density Parity-Check (LDPC) codes. Concatenated codes employ hierarchic
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Satija, Indubala I. "Spin and Quantum Information." In The Wonder of Quantum Spin. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/oso/9780198884859.003.0014.

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Abstract In this final chapter, quantum spin -1/2 acquires a new life as qubit, the fundamental building block of quantum computation and quantum information as qubits and quantum gates are introduced from the spin perspective. The systems of two and more spins are used to illustrate quantum entanglement, the non-classical correlation that are responsible for much of the quantum magic. We will recount the Einstein-Podolsky-Rosen (EPR) paradox, the discovery of Bell’s inequalities and theorems, and the road to the 2022 Nobel Prize in Physics. Some examples from the rapidly evolving research fro
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Mummadi, Swathi, Gnaneshwara Chary Udari, C. Achyuth, and C. Karthik. "Error Correction Methods for Protecting Quantum Information." In Advances in Marketing, Customer Relationship Management, and E-Services. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-7673-7.ch005.

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The field of quantum computing holds immense promise for solving complex problems that are currently intractable for classical computers. However, the practical realization of quantum computers faces a critical challenge: the inherent fragility of qubits, the fundamental units of quantum information. Quantum systems are susceptible to various types of errors and decoherence due to their interaction with the surrounding environment, which can lead to a rapid degradation of quantum information. This chapter delves into the pivotal aspect of quantum error correction techniques as a means to mitig
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Simon, Steven H. "Introducing Quantum Error Correction." In Topological Quantum. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780198886723.003.0026.

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Abstract We briefly introduce some basic ideas of information and quantum information. We start by comparing a classical memory with a quantum memory. Simple repetition codes can protect classical memories from error and we introduce the idea of a code space, physical bits, and logical bits. However, the quantum no-cloning theorem prevents a straightforward generalization to the quantum case. Nonetheless quantum error correction is indeed possible. We show the 9 qubit Shor code as an example.
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Conference papers on the topic "Topological Qubits"

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Schiela, William F., Bassel Heiba Elfeky, and Javad Shabani. "Towards Topological Superconducting Qubits." In 2022 IEEE International Electron Devices Meeting (IEDM). IEEE, 2022. http://dx.doi.org/10.1109/iedm45625.2022.10019353.

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Souza, C. E. R., J. A. O. Huguenin, P. Milman, and A. Z. Khoury. "Exprimental Demonstration of the Topological Phase for Entangled Qubits." In Conference on Coherence and Quantum Optics. OSA, 2007. http://dx.doi.org/10.1364/cqo.2007.jwc16.

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Rüßmann, Philipp, David Antognini Silva, Mohammad Hemmati, et al. "Density-functional description of materials for topological qubits and superconducting spintronics." In Spintronics XVI, edited by Jean-Eric Wegrowe, Manijeh Razeghi, and Joseph S. Friedman. SPIE, 2023. http://dx.doi.org/10.1117/12.2678145.

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Stepanenko, Andrei A., Mark D. Lyubarov, and Maxim A. Gorlach. "Two-photon topological States in the array of qubits caused by the effective photon-photon interaction." In INTERNATIONAL CONFERENCE ON PHYSICS AND CHEMISTRY OF COMBUSTION AND PROCESSES IN EXTREME ENVIRONMENTS (COMPHYSCHEM’20-21) and VI INTERNATIONAL SUMMER SCHOOL “MODERN QUANTUM CHEMISTRY METHODS IN APPLICATIONS”. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0031720.

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Milman, P., W. Maineult, S. Guibal, et al. "Topologically decoherence-protected qubits with trapped ions." In 2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference. IEEE, 2007. http://dx.doi.org/10.1109/cleoe-iqec.2007.4386769.

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Roy Bardhan, Bhaskar, Manish K. Gupta, and Jonathan P. Dowling. "Layered Architectural Design with Photonic Qubit Topological Cluster State Computation." In Quantum Electronics and Laser Science Conference. OSA, 2011. http://dx.doi.org/10.1364/qels.2011.qtht3.

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Ramakrishnan, Dr Rohit. "Materials for Integrated Quantum Technology." In 7th World Conference on Advanced Materials, Nanoscience and Nanotechnology and 7th World Conference on Chemistry and Chemical Engineering. Eurasia Conferences, 2024. https://doi.org/10.62422/978-81-981590-9-0-002.

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This paper reviews the latest materials for integrated quantum technology, focusing on silicon-based platforms. Silicon is a valuable material for quantum tech due to its well-understood electronic properties and mature fabrication technology. It is used to fine-tune qubit operations in quantum computers, making it a key platform for quantum bits. Other materials like superconductors and topological insulators also contribute to the field. Superconductors have minimal energy loss at low temperatures, ensuring quantum coherence. Topological insulators have robust properties against environmenta
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Pimentel, Arthur, Diego Abreu, and Antônio Abelém. "Alocação de Recursos em Redes de Distribuição Quântica de Chaves Multiprotocolo." In Workshop de Pesquisa Experimental da Internet do Futuro. Sociedade Brasileira de Computação - SBC, 2024. http://dx.doi.org/10.5753/wpeif.2024.3230.

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À medida que a criptografia quântica avança, torna-se cada vez mais importante desenvolver métodos que aprimorem a utilização de recursos em redes de Distribuição Quântica de Chaves (QKD). Enfrentando o desafio de agendar e alocar eficientemente as requisições em redes QKD, este estudo propõe uma abordagem para redes QKD multiprotocolo usando estratégias de roteamento e agendamento conscientes de recursos. Nossa proposta foca em melhorar a eficiência no uso de chaves quânticas, rotas e requisições, enquanto suporta vários protocolos de comunicação quântica. Utilizando duas topologias de redes
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Reports on the topic "Topological Qubits"

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Pasupuleti, Murali Krishna. Quantum Semiconductors for Scalable and Fault-Tolerant Computing. National Education Services, 2025. https://doi.org/10.62311/nesx/rr825.

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Abstract: Quantum semiconductors are revolutionizing computing by enabling scalable, fault-tolerant quantum processors that overcome the limitations of classical computing. As quantum technologies advance, superconducting qubits, silicon spin qubits, topological qubits, and hybrid quantum-classical architectures are emerging as key solutions for achieving high-fidelity quantum operations and long-term coherence. This research explores the materials, device engineering, and fabrication challenges associated with quantum semiconductors, focusing on quantum error correction, cryogenic control sys
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