Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
| dc.contributor.author | Deffner, Sebastian | |
| dc.contributor.author | Campbell, Steve | |
| dc.date.accessioned | 2020-08-11T16:20:38Z | |
| dc.date.available | 2020-08-11T16:20:38Z | |
| dc.date.issued | 2017-10-10 | |
| dc.description.abstract | One of the most widely known building blocks of modern physics is Heisenberg's indeterminacy principle. Among the different statements of this fundamental property of the full quantum mechanical nature of physical reality, the uncertainty relation for energy and time has a special place. Its interpretation and its consequences have inspired continued research efforts for almost a century. In its modern formulation, the uncertainty relation is understood as setting a fundamental bound on how fast any quantum system can evolve. In this topical review we describe important milestones, such as the Mandelstam–Tamm and the Margolus–Levitin bounds on the quantum speed limit, and summarise recent applications in a variety of current research fields—including quantum information theory, quantum computing, and quantum thermodynamics amongst several others. To bring order and to provide an access point into the many different notions and concepts, we have grouped the various approaches into the minimal time approach and the geometric approach, where the former relies on quantum control theory, and the latter arises from measuring the distinguishability of quantum states. Due to the volume of the literature, this topical review can only present a snapshot of the current state-of-the-art and can never be fully comprehensive. Therefore, we highlight but a few works hoping that our selection can serve as a representative starting point for the interested reader. | en_US |
| dc.description.sponsorship | We are grateful to Marta Paczy´nska for creating the visual representation of Einstein’s gedankenexperiment, Fig. 1, and Lu (Lucy) Hou for providing the resources for Fig. 4. SD would like to thank Eric Lutz for many years of insightful discussions and supporting mentorship, and in particular for inciting our interest in quantum speed limits. This work was supported by the U.S. National Science Foundation under Grant No. CHE-1648973. | en_US |
| dc.description.uri | https://iopscience.iop.org/article/10.1088/1751-8121/aa86c6/pdf | en_US |
| dc.format.extent | 52 pages | en_US |
| dc.genre | journal articles preprints | en_US |
| dc.identifier | doi:10.13016/m2heya-i4ys | |
| dc.identifier.citation | Sebastian Deffner and Steve Campbell, Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control, Journal of Physics A: Mathematical and Theoretical, Volume 50, Number 45, doi:10.1088/1751-8121/aa86c6 | en_US |
| dc.identifier.uri | 10.1088/1751-8121/aa86c6 | |
| dc.identifier.uri | http://hdl.handle.net/11603/19391 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | IOP | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Physics Department Collection | |
| dc.relation.ispartof | UMBC Joint Center for Earth Systems Technology (JCET) | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.rights | © 2017 IOP Publishing Ltd | |
| dc.title | Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control | en_US |
| dc.type | Text | en_US |