{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:58:01Z","timestamp":1753883881407,"version":"3.41.2"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01n02","funder":[{"name":"NSFCs","award":["6207012505","61771020","61471412"],"award-info":[{"award-number":["6207012505","61771020","61471412"]}]},{"name":"KF","award":["2019KD0AC02"],"award-info":[{"award-number":["2019KD0AC02"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Parallel Process. Lett."],"published-print":{"date-parts":[[2022,3]]},"abstract":"<jats:p> We discuss the problem of filtering out abnormal states from a larger number of quantum states. For this type of problem with [Formula: see text] items to be searched, both the traditional search by enumeration and classical Grover search algorithm have the complexity about [Formula: see text]. In this letter a novel quantum search scheme with exponential speed up is proposed for abnormal states. First, a new comprehensive quantum operator is well-designed to extract the superposition state containing all abnormal states with unknown number [Formula: see text] with complexity [Formula: see text] in probability 1 via well-designed parallel phase comparison. Then, every abnormal state is achieved respectively from [Formula: see text] abnormal states via [Formula: see text] times\u2019 measurement. Finally, a numerical example is given to show the efficiency of the proposed scheme. <\/jats:p>","DOI":"10.1142\/s0129626421500225","type":"journal-article","created":{"date-parts":[[2021,11,9]],"date-time":"2021-11-09T14:18:39Z","timestamp":1636467519000},"source":"Crossref","is-referenced-by-count":0,"title":["Abnormal Quantum State Search Based on Parallel Phase Comparison"],"prefix":"10.1142","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4389-3545","authenticated-orcid":false,"given":"Guanlei","family":"Xu","sequence":"first","affiliation":[{"name":"College of Computer and Information Engineering, Zhejiang Gongshang University, Hangzhou, 310018, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaogang","family":"Xu","sequence":"additional","affiliation":[{"name":"College of Computer and Information Engineering, Zhejiang Gongshang University, Hangzhou, 310018, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaotong","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Computer and Information Engineering, Zhejiang Gongshang University, Hangzhou, 310018, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,11,9]]},"reference":[{"key":"S0129626421500225BIB001","first-page":"1","author":"Grover L. 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