Article
Multidisciplinary Sciences
Aaron J. Weinstein, Matthew D. Reed, Aaron M. Jones, Reed W. Andrews, David Barnes, Jacob Z. Blumoff, Larken E. Euliss, Kevin Eng, Bryan H. Fong, Sieu D. Ha, Daniel R. Hulbert, Clayton A. C. Jackson, Michael Jura, Tyler E. Keating, Joseph Kerckhoff, Andrey A. Kiselev, Justine Matten, Golam Sabbir, Aaron Smith, Jeffrey Wright, Matthew T. Rakher, Thaddeus D. Ladd, Matthew G. Borselli
Summary: This study demonstrates an alternative approach to quantum computation that uses energy-degenerate encoded qubit states controlled by nearest-neighbour contact interactions, bypassing microwave-associated correlated errors. The combination of enriched silicon, all-electrical partial swap operations, and configurable encoding offers a strong pathway towards scalable fault tolerance and computational advantage.
Article
Quantum Science & Technology
Eesa Nikahd, Morteza Saheb Zamani, Mehdi Sedighi
Summary: Fault-tolerant quantum circuit design can be achieved using a set of transversal gates. However, there is no universal set of transversal gates for quantum error correction codes. This paper proposes two approaches for universal fault-tolerant quantum computation based on code concatenation, which outperform the code concatenation approach in terms of qubit count, code distance, and resource overhead.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Optics
Jacob Biamonte
Summary: Variational quantum algorithms are shown to be computationally universal by developing objective functions that minimize the output preparation of arbitrary quantum circuits. The optimization of expected values in variational quantum computation relies on an iterative classical-to-quantum outer loop optimization, with the quantum circuit itself providing an efficient solution. This approach is efficient for n-qubit circuits with non-Clifford gates, and can handle various quantum circuit structures effectively.
Article
Quantum Science & Technology
Wen-Qiang Liu, Hai-Rui Wei
Summary: This article designs two compact quantum circuits for implementing post-selected controlled-phase-flip (CPF) gate and Toffoli gate with linear optics, assisted by one and two single photons, respectively. The maximum success probability of 1/4 for linear optical CPF gate is achieved by using an ancillary single photon instead of an entangled photon pair or two single photons. Remarkably, the presented Toffoli gate is accomplished with a current maximum success probability of 1/30 and unity fidelity in principle, without using additional entangled photon pairs and the standard decomposition-based approach. Linear optical implementations of the presented two universal gates are feasible and economical under current technology and provide a potential application in large-scale optical quantum computing.
ADVANCED QUANTUM TECHNOLOGIES
(2023)
Article
Physics, Multidisciplinary
Perez-Delgado A. Carlos, Sai Vinjanampathy
Summary: Research has shown that algorithms based on higher-order Hamiltonians can achieve a quadratic speed-up over classical computation, and are grounded in the same physics as quantum advantage for metrology and battery charging. Therefore, advancements in implementing quantum advantage in these scenarios could potentially be utilized to speed up computation.
NEW JOURNAL OF PHYSICS
(2021)
Article
Physics, Mathematical
Stefan Hollands
Summary: This paper investigates the relationship between fusion categories and quantum spin chains, and discovers an isomorphism between the algebra of matrix-product operators of the spin chain and the defect algebra of 1+1 CFTs. It further conjectures that the central projections of the algebra are associated with the irreducible vertical (transparent) defects in the scaling limit of the model.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Optics
A. Brollo, A. Veronese, L. Salasnich
Summary: This study investigates various properties of a two-site anyonic Josephson junction, such as Josephson frequency, imbalanced solutions, macroscopic quantum self-trapping, coherence visibility, and condensate fraction, and highlights the crucial role of the anyonic angle. The theoretical predictions serve as an important reference for future experimental quantum simulations of anyonic matter in double-well potentials.
Article
Quantum Science & Technology
Wen-Qiang Liu, Hai-Rui Wei, Leong-Chuan Kwek
Summary: Universal quantum entangling gates are crucial for large-scale quantum computation and communication, and this paper presents a simple and effective quantum circuit for their implementation. It also demonstrates the design of polarization CNOT and Toffoli gates using linear optics.
ADVANCED QUANTUM TECHNOLOGIES
(2022)
Article
Physics, Multidisciplinary
Seokho Jeong, Xiao-Feng Shi, Minhyuk Kim, Jaewook Ahn
Summary: Rydberg atom arrays are useful for various quantum applications. In this study, researchers propose an all-optical gate-based quantum computing scheme using auxiliary atoms for remote couplings and optical addressing for constructing universal quantum gates. They also provide a detailed resource estimate for implementing this scheme in a Rydberg quantum simulator.
FRONTIERS IN PHYSICS
(2022)
Article
Engineering, Electrical & Electronic
Samy C. C. Policarpo, Joao Batista R. Silva
Summary: We propose an optical apparatus that utilizes quantum nondemolition measurement (QND) for polarization qubits, achieving a success probability of 0.95 with real active devices. This apparatus is capable of implementing multiqubit Toffoli gates, reversible AND/NAND gates, and Peres gates.
OPTICAL AND QUANTUM ELECTRONICS
(2023)
Article
Materials Science, Multidisciplinary
Guo Xuan Chan, Peihao Huang, Xin Wang
Summary: Superexchange is a vital resource for long-range interaction between distant spins in largescale quantum computing. This study investigates a two-electron system in a linear triple-quantum-dot device, revealing the microscopic details of superexchange and its behavior. The results demonstrate nonmonotonic behavior of superexchange in the detuning regime and show that the relative detuning between the left and right dots can affect the magnitude of superexchange.
Article
Quantum Science & Technology
Zheng-Hao Liu, Kai Sun, Jiannis K. Pachos, Mu Yang, Yu Meng, Yu-Wei Liao, Qiang Li, Jun-Feng Wang, Ze-Yu Luo, Yi-Fei He, Dong-Yu Huang, Guang-Rui Ding, Jin-Shi Xu, Yong-Jian Han, Chuan-Feng Li, Guang-Can Guo
Summary: This paper demonstrates experimentally the key components of parafermion-based universal quantum computation using a photonic quantum simulator, including realizing Clifford-operator Berry phases and investigating quantum contextuality in a topological system. The topologically encoded contextuality opens up the possibility of magic state distillation and both contextuality and braiding-induced Clifford gates are resilient against local noise. By introducing contextuality, this photonic quantum simulation takes the first step towards a physically robust methodology for realizing topological quantum computation.
Article
Multidisciplinary Sciences
Yiru Hao, Gu Zhang, Donghao Liu, Dong E. Liu
Summary: The non-local feature of topological states of matter can be manifested by measuring the temperature dependence of Coulomb blockade peak conductance. In the low-temperature regime, a coherent double Majorana-assisted teleportation process and an anomalous universal scaling behavior are discovered. In the high-temperature regime, the conductance exhibits a non-monotonic temperature-dependence.
NATURE COMMUNICATIONS
(2022)
Article
Mathematics
Euiyong Park
Summary: In this paper, the existence of a braid group action on the extended crystal B⠂(& INFIN;) of finite type is proven. The extended crystal B⠂(& INFIN;) and its braid group action are investigated from the perspective of crystal similarity. The braid group action on B⠂(& INFIN;) in the Hernandez-Leclerc category Cg0 is then interpreted.
ADVANCES IN MATHEMATICS
(2023)
Article
Quantum Science & Technology
Valentin Kasper, Daniel Gonzalez-Cuadra, Apoorva Hegde, Andy Xia, Alexandre Dauphin, Felix Huber, Eberhard Tiemann, Maciej Lewenstein, Fred Jendrzejewski, Philipp Hauke
Summary: In this paper, a platform for universal quantum computation with long-range entangling gates and quantum error correction is proposed, using a mixture of two ultracold atomic species. The system utilizes localized collective spins and phononic excitations to achieve entanglement. The authors also discuss a finite-dimensional version of the Gottesman-Kitaev-Preskill code for protecting quantum information in the system.
QUANTUM SCIENCE AND TECHNOLOGY
(2022)
Article
Mathematics
Shawn X. Cui, Zhenghan Wang
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
(2017)
Article
Mathematics, Applied
Shawn Xingshan Cui, Modjtaba Shokrian Zini, Zhenghan Wang
SCIENCE CHINA-MATHEMATICS
(2019)
Article
Mathematics
Liang Chang, Shawn X. Cui
ADVANCES IN MATHEMATICS
(2019)
Article
Physics, Mathematical
Shawn X. Cui, Patrick Hayden, Temple He, Matthew Headrick, Bogdan Stoica, Michael Walter
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2020)
Article
Physics, Multidisciplinary
Shawn X. Cui, Kevin T. Tian, Jennifer F. Vasquez, Zhenghan Wang, Helen M. Wong
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2019)
Article
Quantum Science & Technology
Shawn X. Cui, Dawei Ding, Xizhi Han, Geoffrey Penington, Daniel Ranard, Brandon C. Rayhaun, Zhou Shangnan
Article
Physics, Multidisciplinary
Bowen Yan, Penghua Chen, Shawn X. Cui
Summary: Kitaev's quantum double model is a lattice model that can realize two-dimensional topological phases. In this study, we rigorously define and study ribbon operators in the generalized quantum double model, which are important for understanding quasi-particle excitations. The distinction between locally clockwise and locally counterclockwise ribbons is crucial, and we point out that this issue also exists in the original model. We show that under the new definitions, ribbon operators satisfy all expected properties, although the proofs are more complicated than in the case of finite groups.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Mathematical
Shawn X. Cui, Paul Gustafson, Yang Qiu, Qing Zhang
Summary: This paper continues the program of constructing (pre)modular tensor categories from 3-manifolds using M theory and mathematical methods, and discusses the important structures involved and the challenges faced. By considering a specific class of 3-manifolds, the paper demonstrates how to realize the modular data using equivariantization.
LETTERS IN MATHEMATICAL PHYSICS
(2022)
Article
Multidisciplinary Sciences
Raja Selvarajan, Vivek Dixit, Xingshan Cui, Travis S. Humble, Sabre Kais
Summary: The road to quantum computing has been accelerated by the promises of Shor's algorithm, but has not yet been realized due to noisy qubits and lack of robust error correction schemes. An alternative method using variational imaginary time evolution is explored, showing promise for prime factorization. This method scales circuits based on the bit-length of the number and circuit depth, successfully factoring numbers greater than previously achieved on IBMQ hardware.
SCIENTIFIC REPORTS
(2021)
Article
Physics, Multidisciplinary
Muhammad Ilyas, Shawn Cui, Marek Perkowski
Summary: A quantum computer can perform exponentially faster than its classical counterpart, but the challenge lies in isolating the quantum system to minimize decoherence. Topological quantum phases with non-abelian anyons provide a solution by implementing topological quantum gates through braiding and fusion of these anyons. The non-local topological degrees of freedom of anyons ensure fault-tolerance. This paper discusses the Hilbert space for topological qubits and introduces the Ising and Fibonacci anyonic models for binary gates. It also suggests that existing quantum ternary arithmetic gates can be realized through braiding and topological charge measurement of metaplectic anyons.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Computer Science, Theory & Methods
Colton Griffin, Shawn X. Cui
Summary: We study a method for generating approximately diagonal 1-qubit gates and verify its effectiveness for small integers. Through systematic investigation, we prove important partial results and develop techniques to further resolve the conjecture. The sequences generated by this method have applications in quantum search algorithms, quantum circuit compilation, and generation of leakage-free entangled gates in topological quantum computing.
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION
(2022)
Article
Physics, Mathematical
Shawn X. Cui, Yang Qiu, Zhenghan Wang
Summary: Using M-theory, this study connects two parallel subjects of geometric topology and quantum topology and provides strong support for the feasibility of the program. The study develops an algorithm to generate potential modular T-matrix and quantum dimensions of candidate modular data. By studying specific examples, the study constructs premodular tensor categories and their modular data. The results suggest that a premodular tensor category is modular if the three manifold is a Z(2)-homology sphere, and condensation of bosons in the resulting properly premodular categories leads to either modular or super-modular tensor categories.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Mathematics
Shawn X. Cui
Article
Optics
Shawn X. Cui, Daniel Gottesman, Anirudh Krishna
Article
Optics
Alex Bocharov, Xingshan Cui, Vadym Kliuchnikov, Zhenghan Wang