{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T01:56:54Z","timestamp":1648691814214},"reference-count":23,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2020,6]]},"abstract":"<jats:p> Recently, Kieu proposed a new class of time-energy uncertainty relations for time-dependent Hamiltonians, which is not only formal but also useful for actually evaluating the speed limit of quantum dynamics. Inspired by this work, Okuyama and Ohzeki obtained a similar speed limit for the imaginary-time Schr\u00f6dinger equation. In this paper, we refine the latter one to make it be further like that of Kieu formally. As in the work of Kieu, only the initial states and the Hamiltonians, but neither the instantaneous eigenstates nor the full time-dependent wave like functions, which would demand a full solution for a time-dependent system, are required for our optimized speed limit. It turns out to be more helpful for estimating the speed limit of an actual quantum annealing driven by the imaginary-time Schr\u00f6dinger equation. For certain case, the refined speed limit given here becomes the only useful tool to do this estimation, because the one given by Okuyama and Ohzeki cannot do the same job. <\/jats:p>","DOI":"10.1142\/s1230161220500109","type":"journal-article","created":{"date-parts":[[2020,8,31]],"date-time":"2020-08-31T11:05:42Z","timestamp":1598871942000},"page":"2050010","source":"Crossref","is-referenced-by-count":0,"title":["A Refined Speed Limit for the Imaginary-Time Schr\u00f6dinger Equation"],"prefix":"10.1142","volume":"27","author":[{"given":"Jie","family":"Sun","sequence":"first","affiliation":[{"name":"School of Internet, Anhui University, Hefei 230039, China"},{"name":"Hubei Engineering Research Center on Big Data security, School of Cyber Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China"},{"name":"Shenzhen Huazhong University of Science and Technology Research Institute, Shenzhen 518063, China"}]},{"given":"Songfeng","family":"Lu","sequence":"additional","affiliation":[{"name":"Hubei Engineering Research Center on Big Data security, School of Cyber Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China"},{"name":"Shenzhen Huazhong University of Science and Technology Research Institute, Shenzhen 518063, China"}]}],"member":"219","published-online":{"date-parts":[[2020,8,28]]},"reference":[{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(98)00054-2"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.67.052109"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(92)90555-Z"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.3365"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/46\/33\/335302"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.110.050402"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.110.050403"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.111.010402"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.82.022107"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.86.016101"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.160502"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.240501"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.105.170402"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.82.022318"},{"key":"p_19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.111.260501"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2016.02.018"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.120.070401"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.120.070402"},{"key":"p_23","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2019.0148"},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.79.325"},{"key":"p_26","doi-asserted-by":"publisher","DOI":"10.7566\/JPSJ.88.024803"},{"key":"p_28","doi-asserted-by":"publisher","DOI":"10.1126\/science.1057726"},{"key":"p_29","doi-asserted-by":"publisher","DOI":"10.1023\/B:IJTP.0000048594.07696.e5"}],"container-title":["Open Systems &amp; Information Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1230161220500109","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,31]],"date-time":"2020-08-31T11:05:53Z","timestamp":1598871953000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1230161220500109"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6]]},"references-count":23,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2020,6]]}},"alternative-id":["10.1142\/S1230161220500109"],"URL":"https:\/\/doi.org\/10.1142\/s1230161220500109","relation":{},"ISSN":["1230-1612","1793-7191"],"issn-type":[{"value":"1230-1612","type":"print"},{"value":"1793-7191","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6]]}}}