COMPUTAÇÃO QUÂNTICA EM QUÍMICA by Caio M. Porto, Matheus S. Fonseca, Guilherme de S. T. Morais, Celso J. Villas-Boas, Rene A. Nome, Nelson H. Morgon

“…By leveraging qubits and powerful quantum algorithms like the variational quantum eigensolver (VQE) and quantum phase estimation (QPE), quantum computing provides a novel approach to unraveling the intricacies of electronic structures and properties of molecules. …”
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Stabilizer disentangling of conformal field theories by Martina Frau, Poetri Sonya Tarabunga, Mario Collura, Emanuele Tirrito, Marcello Dalmonte

“…Understanding how entanglement can be reduced through simple operations is crucial for both classical and quantum algorithms. We investigate the entanglement properties of lattice models hosting conformal field theories cooled via local Clifford operations, a procedure we refer to as stabilizer disentangling. …”
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Stabilizer ground states for simulating quantum many-body physics: theory, algorithms, and applications by Jiace Sun, Lixue Cheng, Shi-Xin Zhang

“…Finally, we demonstrate that stabilizer ground states are promising tools for not only qualitative understanding of quantum systems, but also cornerstones of more advanced classical or quantum algorithms.…”
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Lower bounds for quantum-inspired classical algorithms via communication complexity by Nikhil S. Mande, Changpeng Shao

“…For those problems, we prove a quadratic lower bound in terms of the Frobenius norm of the underlying matrix. As quantum algorithms are linear in the Frobenius norm for those problems, our results mean that the quantum-classical separation is at least quadratic. …”
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Reference Set Generator: A Method for Pareto Front Approximation and Reference Set Generation by Angel E. Rodriguez-Fernandez, Hao Wang, Oliver Schütze

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The State Preparation of Multivariate Normal Distributions using Tree Tensor Network by Hidetaka Manabe, Yuichi Sano

“…The quantum state preparation of probability distributions is an important subroutine for many quantum algorithms. When embedding $D$-dimensional multivariate probability distributions by discretizing each dimension into $2^n$ points, we need a state preparation circuit comprising a total of $nD$ qubits, which is often difficult to compile. …”
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Variational quantum Hamiltonian engineering by Benchi Zhao, Keisuke Fujii

“…Our results highlight the potential of VQHE to enhance the efficiency of quantum algorithms in near-term quantum devices, offering a promising approach for practical quantum computing applications.…”
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Quantum computing topological invariants of two-dimensional quantum matter by Marcel Niedermeier, Marc Nairn, Christian Flindt, Jose L. Lado

“…Quantum algorithms provide a potential strategy for solving computational problems that are intractable by classical means. …”
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Error Correction of Transversal cnot Gates for Scalable Surface-Code Computation by Kaavya Sahay, Yingjia Lin, Shilin Huang, Kenneth R. Brown, Shruti Puri

“…Our investigation builds toward systematic estimation of the cost of implementing large-scale quantum algorithms based on transversal gates in the surface code.…”
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Filter-enhanced adiabatic quantum computing on a digital quantum processor by Erenay Karacan, Conor Mc Keever, Michael Foss-Feig, David Hayes, Michael Lubasch

“…Eigenstate filters underpin near-optimal quantum algorithms for ground-state preparation. Their realization on current quantum computers, however, poses a challenge as the filters are typically represented by deep quantum circuits. …”
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A coherent approach to quantum-classical optimization by Andrés N. Cáliz, Jordi Riu, Josep Bosch, Pau Torrente, Jose Miralles, Arnau Riera

“…Abstract Hybrid quantum-classical optimization techniques, which incorporate the pre-optimization of Variational Quantum Algorithms using Tensor Networks, have been shown to allow for the reduction of quantum computational resources. …”
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Integrating Quantum Computing into De Novo Metabolite Identification by Li-An Tsai, Estelle Nuckels, Yingfeng Wang

“…The recent progress in this area has brought the hope of making some computationally intractable areas trackable, although there are still no general approaches to converting regular computer algorithms into quantum algorithms. Specifically, there is no efficient quantum algorithm for the MCS problem. …”
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Group twirling and noise tailoring for multiqubit controlled phase gates by Guoding Liu, Ziyi Xie, Zitai Xu, Xiongfeng Ma

“…Specifically, for multiqubit controlled phase gates, which are essential in quantum algorithms and directly implementable in practice, we determine optimal twirling groups within the realm of classically replaceable unitary operations. …”
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Efficient quantum circuits based on the quantum natural gradient by Ananda Roy, Sameer Erramilli, Robert M. Konik

“…The proposed scheme enlarges the set of the initial states accessible for variational quantum algorithms and widens the scope of investigation of nonequilibrium phenomena in quantum simulators.…”
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Application of Algorithms on Lattices in Post-Quantum Cryptography by Nikolai Urban, Elena Melnikova

“…The article analyzes approaches to the development of post-quantum algorithms, reviews progress in the field of quantum computers and post-quantum cryptographic encryption systems. …”
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Variational approach to photonic quantum circuits via the parameter shift rule by Francesco Hoch, Giovanni Rodari, Taira Giordani, Paul Perret, Nicolò Spagnolo, Gonzalo Carvacho, Ciro Pentangelo, Simone Piacentini, Andrea Crespi, Francesco Ceccarelli, Roberto Osellame, Fabio Sciarrino

“…In the era of noisy intermediate-scale quantum computers, variational quantum algorithms are promising approaches for solving optimization tasks by training parameterized quantum circuits with the aid of classical routines informed by quantum measurements. …”
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Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation by Daniel Alcalde Puente, Matteo Rizzi

“…These results indicate that integrating measurement and feedback into variational quantum algorithms provides a promising framework for quantum state preparation.…”
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An FPGA-Based Quantum Computing Emulation Framework Based on Serial-Parallel Architecture by Y. H. Lee, M. Khalil-Hani, M. N. Marsono

“…Quantum Fourier transform and Grover’s search are chosen as case studies in this work since they are the core of many useful quantum algorithms. Experimental work shows that, with the proposed emulation architecture, a linear reduction in resource utilization is attained against the pipeline implementations proposed in prior works. …”
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Quantum and classical algorithms for nonlinear unitary dynamics by Noah Brustle, Nathan Wiebe

“…Finally, we introduce a classical algorithm based on the Euler method allowing comparably scaling to the quantum algorithm in a restricted case, as well as a randomized classical algorithm based on path integration that acts as a true analogue to the quantum algorithm in that it scales comparably to the quantum algorithm in cases where sign problems are absent.…”
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Quantum Computing in Spin-Adapted Representations for Efficient Simulations of Spin Systems by Anthony Gandon, Alberto Baiardi, Max Rossmannek, Werner Dobrautz, Ivano Tavernelli

“…In this work, we introduce a novel formalism for designing quantum algorithms directly in an eigenbasis of the total-spin operator. …”
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