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In topologically-protected quantum computation, quantum gates can be carried out by adiabatically braiding two-dimensional quasiparticles, reminiscent of entangled world lines. Bonesteel et al. [Phys. Rev. Lett. 95, 140503 (2005)], as well…

Quantum Physics · Physics 2013-02-14 Ross B. McDonald , Helmut G. Katzgraber

Genome assembly asks to reconstruct an unknown string from many shorter substrings of it. Even though it is one of the key problems in Bioinformatics, it is generally lacking major theoretical advances. Its hardness stems both from…

Discrete Mathematics · Computer Science 2020-11-10 Massimo Cairo , Romeo Rizzi , Alexandru I. Tomescu , Elia C. Zirondelli

In this article we report on the application of the Quantum Approximate Optimization Algorithm (QAOA) to solve the unweighted MaxCut problem on tree-structured graphs. Specifically, we utilize the Nauty (No Automorphisms, Yes?) package to…

Quantum Physics · Physics 2024-11-05 Vaibhav. N Prakash

This work presents the first application of the method of Genetic Algorithms (GAs) to data analysis for the Laser Interferometer Space Antenna (LISA). In the low frequency regime of the LISA band there are expected to be tens of thousands…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jeff Crowder , Neil J. Cornish , Lucas Reddinger

Quantum circuit design is a key bottleneck for practical quantum machine learning on complex, real-world data. We present an automated framework that discovers and refines variational quantum circuits (VQCs) using graph-based Bayesian…

Quantum Physics · Physics 2025-12-11 Prashant Kumar Choudhary , Nouhaila Innan , Muhammad Shafique , Rajeev Singh

The quantum approximate optimization algorithm (QAOA) holds promise for combinatorial optimization but is constrained by limited qubits. While divide-and-conquer frameworks like QAOA$^{2}$ address scalability by partitioning graphs into…

Quantum Physics · Physics 2026-05-14 Zubin Zheng , Jiahao Wu , Shengcai Liu

DNA sequencing to identify genetic variants is becoming increasingly valuable in clinical settings. Assessment of variants in such sequencing data is commonly implemented through Bayesian heuristic algorithms. Machine learning has shown…

The Quantum Approximate Optimization Algorithm (QAOA), which is a variational quantum algorithm, aims to give sub-optimal solutions of combinatorial optimization problems. It is widely believed that QAOA has the potential to demonstrate…

Aligning sequencing reads on graph representations of genomes is an important ingredient of pan-genomics. Such approaches typically find a set of local anchors that indicate plausible matches between substrings of a read to subpaths of the…

Data Structures and Algorithms · Computer Science 2018-01-30 Anna Kuosmanen , Topi Paavilainen , Travis Gagie , Rayan Chikhi , Alexandru I. Tomescu , Veli Mäkinen

Amplitude Amplification offers a provable speedup for search problems, which is leveraged in combinatorial optimization by Grover Adaptive Search (GAS). The protocol demands deep circuits that are challenging with regards to NISQ…

Quantum Physics · Physics 2026-04-08 Laurin Demmler , Maximilian Hess

De novo genome assembly is the process of stitching short DNA sequences to generate longer DNA sequences, without using any reference sequence for alignment. It enables high-throughput genome sequencing and thus accelerates the discovery of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Da Yan , Hongzhi Chen , James Cheng , Zhenkun Cai , Bin Shao

Solving Quadratic equation is one of the intrinsic interests as it is the simplest nonlinear equations. A novel approach for solving Quadratic Equation based on Genetic Algorithms (GAs) is presented. Genetic Algorithms (GAs) are a technique…

Neural and Evolutionary Computing · Computer Science 2013-06-20 Tanistha Nayak , Tirtharaj Dash

Genome sequence analysis plays a pivotal role in enabling many medical and scientific advancements in personalized medicine, outbreak tracing, and forensics. However, the analysis of genome sequencing data is currently bottlenecked by the…

Hardware Architecture · Computer Science 2021-11-04 Damla Senol Cali

DNA computing, a nontraditional computing mechanism, provides a feasible and effective method for solving NP-hard problems because of the vast parallelism and high-density storage of DNA molecules. Although DNA computing has been exploited…

Molecular Networks · Quantitative Biology 2022-11-17 Enqiang Zhu , Xianhang Luo , Chanjuan Liu , Xiaolong Shi , Jin Xu

Next-generation sequencing (NGS) technologies have enabled affordable sequencing of billions of short DNA fragments at high throughput, paving the way for population-scale genomics. Genomics data analytics at this scale requires overcoming…

Databases · Computer Science 2019-10-11 Darryl Ho , Jialin Ding , Sanchit Misra , Nesime Tatbul , Vikram Nathan , Vasimuddin Md , Tim Kraska

The quantum approximate optimization algorithm (QAOA) generates an approximate solution to combinatorial optimization problems using a variational ansatz circuit defined by parameterized layers of quantum evolution. In theory, the…

Quantum Physics · Physics 2021-09-24 Rebekah Herrman , Phillip C. Lotshaw , James Ostrowski , Travis S. Humble , George Siopsis

The quantum approximate optimization algorithm (QAOA) is a leading iterative variational quantum algorithm for heuristically solving combinatorial optimization problems. A large portion of the computational effort in QAOA is spent by the…

Quantum Physics · Physics 2022-08-23 Ohad Amosy , Tamuz Danzig , Ely Porat , Gal Chechik , Adi Makmal

The Quantum approximate optimization algorithm (QAOA) is a leading hybrid classical-quantum algorithm for solving complex combinatorial optimization problems. QAOA-in-QAOA (QAOA^2) uses a divide-and-conquer heuristic to solve large-scale…

Quantum Physics · Physics 2024-08-27 Aniello Esposito , Tamuz Danzig

Quantum approximate optimization algorithm (QAOA) has shown promise in solving combinatorial optimization problems by providing quantum speedup on near-term gate-based quantum computing systems. However, QAOA faces challenges for…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-24 Seongmin Kim , Vincent R. Pascuzzi , Zhihao Xu , Tengfei Luo , Eungkyu Lee , In-Saeng Suh

We introduce a variational algorithm based on the quantum alternating operator ansatz (QAOA) for the approximate solution of computationally hard counting problems. Our algorithm, dubbed VQCount, is based on the equivalence between random…

Quantum Physics · Physics 2026-04-16 Julien Drapeau , Shreya Banerjee , Stefanos Kourtis
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