TY - JOUR A1 - Bharti, Kishor A1 - Cervera-Lierta, Alba A1 - Kyaw, Thi Ha A1 - Haug, Tobias A1 - Alperin-Lea, Sumner A1 - Anand, Abhinav A1 - Degroote, Matthias A1 - Heimonen, Hermanni A1 - Kottmann, Jakob S. A1 - Menke, Tim A1 - Mok, Wai-Keong A1 - Sim, Sukin A1 - Kwek, Leong-Chuan A1 - Aspuru-Guzik, Alán T1 - Noisy intermediate-scale quantum algorithms T2 - Reviews of Modern Physics N2 - A universal fault-tolerant quantum computer that can efficiently solve problems such as integer factorization and unstructured database search requires millions of qubits with low error rates and long coherence times. While the experimental advancement toward realizing such devices will potentially take decades of research, noisy intermediate-scale quantum (NISQ) computers already exist. These computers are composed of hundreds of noisy qubits, i.e., qubits that are not error corrected, and therefore perform imperfect operations within a limited coherence time. In the search for achieving quantum advantage with these devices, algorithms have been proposed for applications in various disciplines spanning physics, machine learning, quantum chemistry, and combinatorial optimization. The overarching goal of such algorithms is to leverage the limited available resources to perform classically challenging tasks. In this review, a thorough summary of NISQ computational paradigms and algorithms is provided. The key structure of these algorithms and their limitations and advantages are discussed. A comprehensive overview of various benchmarking and software tools useful for programming and testing NISQ devices is additionally provided. KW - General Physics and Astronomy Y1 - 2022 UR - https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/101956 SN - 0034-6861 SN - 1539-0756 VL - 94 SP - 015004 PB - American Physical Society (APS) CY - College Park, MD ER -