Quantum simulations of chemistry in first quantization with any basis set by Timothy N. Georges, Marius Bothe, Christoph Sünderhauf, Bjorn K. Berntson, Róbert Izsák, Aleksei V. Ivanov

“…Abstract Quantum computation of the energy of molecules and materials is one of the most promising applications of fault-tolerant quantum computers. …”
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Cryogenic Photonic Readout Based on Thin-Film Lithium Niobate Mach–Zehnder Modulators by Hailong Han, Xiaoping Liu, Huazhan Liang, Lingyun Li, Hao Li, Lixing You

“…The proposed solution holds potential benefits for both classical and quantum computers in alleviating interface bottlenecks.…”
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Dynamic thermalization on noisy quantum hardware by Hugo Perrin, Thibault Scoquart, Andrei I. Pavlov, Nikolay V. Gnezdilov

“…Abstract Emulating thermal observables on a digital quantum computer is essential for quantum simulation of many-body physics. …”
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Efficient quantum algorithm to simulate open systems through a single environmental qubit by Giovanni Di Bartolomeo, Michele Vischi, Tommaso Feri, Angelo Bassi, Sandro Donadi

“…We present an efficient algorithm for simulating open quantum systems dynamics described by the Lindblad master equation on quantum computers, addressing key challenges in the field. …”
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Improving the efficiency of learning-based error mitigation by Piotr Czarnik, Michael McKerns, Andrew T. Sornborger, Lukasz Cincio

“…Error mitigation will play an important role in practical applications of near-term noisy quantum computers. Current error mitigation methods typically concentrate on correction quality at the expense of frugality (as measured by the number of additional calls to quantum hardware). …”
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Secure Lattice-Based Signature Scheme for Internet of Things Applications by Sunil Prajapat, Deepika Gautam, Pankaj Kumar, Srinivas Jangirala, Ashok Kumar Das, Biplab Sikdar

“…Additionally, the development of quantum computers has directed attention towards lattice-based cryptography. …”
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Shadow hamiltonian simulation by Rolando D. Somma, Robbie King, Robin Kothari, Thomas E. O’Brien, Ryan Babbush

“…Abstract Simulating quantum dynamics is one of the most important applications of quantum computers. Traditional approaches for quantum simulation involve preparing the full evolved state of the system and then measuring some physical quantity. …”
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A universal circuit set using the S 3 quantum double by Liyuan Chen, Yuanjie Ren, Ruihua Fan, Arthur Jaffe

“…Abstract One potential route toward fault-tolerant universal quantum computation is to use non-Abelian topological codes. …”
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Realizing string-net condensation: Fibonacci anyon braiding for universal gates and sampling chromatic polynomials by Zlatko K. Minev, Khadijeh Najafi, Swarnadeep Majumder, Juven Wang, Ady Stern, Eun-Ah Kim, Chao-Ming Jian, Guanyu Zhu

“…Our results establish the proof of principle for using Fib-SNC and its anyons for fault-tolerant universal quantum computation and aim at a classically hard problem.…”
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High-Fidelity Universal Gates in the ^{171}Yb Ground-State Nuclear-Spin Qubit by J. A. Muniz, M. Stone, D. T. Stack, M. Jaffe, J. M. Kindem, L. Wadleigh, E. Zalys-Geller, X. Zhang, C.-A. Chen, M. A. Norcia, J. Epstein, E. Halperin, F. Hummel, T. Wilkason, M. Li, K. Barnes, P. Battaglino, T. C. Bohdanowicz, G. Booth, A. Brown, M. O. Brown, W. B. Cairncross, K. Cassella, R. Coxe, D. Crow, M. Feldkamp, C. Griger, A. Heinz, A. M. W. Jones, H. Kim, J. King, K. Kotru, J. Lauigan, J. Marjanovic, E. Megidish, M. Meredith, M. McDonald, R. Morshead, S. Narayanaswami, C. Nishiguchi, T. Paule, K. A. Pawlak, K. L. Pudenz, D. Rodríguez Pérez, A. Ryou, J. Simon, A. Smull, M. Urbanek, R. J. M. van de Veerdonk, Z. Vendeiro, T.-Y. Wu, X. Xie, B. J. Bloom

“…These results represent important milestones toward executing complex and general quantum computation with neutral atoms.…”
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Lagrangian duality in quantum optimization: Overcoming QUBO limitations for constrained problems by Einar Gabbassov, Gili Rosenberg, Artur Scherer

“…We propose an approach to solving constrained combinatorial optimization problems based on embedding the concept of Lagrangian duality into the framework of adiabatic quantum computation. Within the setting of circuit-model fault-tolerant quantum computation, we demonstrate that this approach achieves a quadratic improvement in circuit depth and maintains a constraint-independent circuit width in contrast with the prevalent approach of solving constrained problems via reformulations based on the quadratic unconstrained binary optimization (QUBO) framework. …”
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Gate construction of block-encoding for Hamiltonians needed for simulating partial differential equations by Nikita Guseynov, Xiajie Huang, Nana Liu

“…One of the most promising applications of quantum computers is solving partial differential equations (PDEs). …”
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Toward Quantum Interconnects Featuring Nanometer-to-Picometer Bandwidth Compression and THz-Range Quantum Frequency Conversion by Tim F. Weiss, Alberto Peruzzo

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Fast Entangling Gates for Rydberg Atoms via Resonant Dipole-Dipole Interaction by Giuliano Giudici, Stefano Veroni, Giacomo Giudice, Hannes Pichler, Johannes Zeiher

“…The advent of digital neutral-atom quantum computers relies on the development of fast and robust protocols for high-fidelity quantum operations. …”
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An Algorithm of Quantum Restricted Boltzmann Machine Network Based on Quantum Gates and Its Application by Peilin Zhang, Sheng Li, Yu Zhou

“…In addition, we show how the algorithm can be constructed with quantum circuit for quantum computer.…”
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Comparative study of quantum error correction strategies for the heavy-hexagonal lattice by César Benito, Esperanza López, Borja Peropadre, Alejandro Bermudez

“…Topological quantum error correction is a milestone in the scaling roadmap of quantum computers, which targets circuits with trillions of gates that would allow running quantum algorithms for real-world problems. …”
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Efficient MPS representations and quantum circuits from the Fourier modes of classical image data by Bernhard Jobst, Kevin Shen, Carlos A. Riofrío, Elvira Shishenina, Frank Pollmann

“…Machine learning tasks are an exciting application for quantum computers, as it has been proven that they can learn certain problems more efficiently than classical ones. …”
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Flag Gadgets Based on Classical Codes by Benjamin Anker, Milad Marvian

“…These small examples may be relevant to near-term experiments on small-scale quantum computers.…”
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Performance analysis of a filtering variational quantum algorithm by Gabriel Marin-Sanchez, David Amaro

“…Even a minor boost in solving combinatorial optimization problems can greatly benefit multiple industries. Quantum computers, with their unique information processing capabilities, hold promise for delivering such enhancements. …”
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Trainable embedding quantum physics informed neural networks for solving nonlinear PDEs by Stefan Berger, Norbert Hosters, Matthias Möller

“…Abstract This paper proposes a novel approach for solving nonlinear partial differential equations (PDEs) with a quantum computer, the trainable embedding quantum physics informed neural network (TE-QPINN). …”
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