{"url":"/method/vqsvd","slug":"vqsvd","name":"VQSVD","full_name":"VQSVD","full_name_withheld":false,"description_markdown":"**Variational Quantum Singular Value Decomposition** is a variational quantum algorithm for singular value decomposition (VQSVD). By exploiting the variational principles for singular values and the Ky Fan Theorem, a novel loss function is designed such that two quantum neural networks (or parameterized quantum circuits) could be trained to learn the singular vectors and output the corresponding singular values.","description_state":"present","introduced_year":null,"introduced_by":{"title":"Variational Quantum Singular Value Decomposition","paper":"/paper/variational-quantum-singular-value","first_author":"Xin Wang","n_authors":3,"url_abs":null,"archive_paper_url":"https://paperswithcode.com/paper/variational-quantum-singular-value"},"source":{"url":"https://arxiv.org/abs/2006.02336v3","title":"Variational Quantum Singular Value Decomposition","url_on_a_paper_host":true},"code_snippet_url":null,"code_snippet_url_on_a_code_host":false,"categories":[{"area":"General","area_id":"general","collection":"Quantum Methods","url":"/methods/category/quantum-methods","pwc_aliases":[]}],"n_papers_tagged":1,"archive_num_papers":1,"papers_newest_first":[{"paper":"/paper/variational-quantum-singular-value","title":"Variational Quantum Singular Value Decomposition","date":"2020-06-03","arxiv_id":"2006.02336","n_code_links":1,"syntology":null}],"papers_shown":1,"tasks":[{"task":"/task/image-compression","name":"Image Compression","papers":1},{"task":"/task/recommendation-systems","name":"Recommendation Systems","papers":1}],"tasks_shown":2,"n_tasks":2,"usage_by_year":[{"year":"2020","papers":1}],"row_source":"methods_table","archive":{"source":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","archive_url":"https://paperswithcode.com/method/vqsvd"},"syntology_read_at":"2026-09-24T18:15:14+00:00"}