Quantum advantages for transportation tasks-projectiles, rockets and quantum backflow

Trillo, D; Le, TP; Navascues, M

Quantum advantages for transportation tasks-projectiles, rockets and quantum backflow

Trillo, D Le, TP Navascues, M

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Publisher:: NATURE PORTFOLIO
Publication Type:: Journal Article
Citation:: NPJ QUANTUM INFORMATION, 2023, 9, (1)
Issue Date:: 2023-07-14

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Field	Value	Language
dc.contributor.author	Trillo, D
dc.contributor.author	Le, TP
dc.contributor.author	Navascues, M
dc.date.accessioned	2024-02-06T23:30:36Z
dc.date.available	2024-02-06T23:30:36Z
dc.date.issued	2023-07-14
dc.identifier.citation	NPJ QUANTUM INFORMATION, 2023, 9, (1)
dc.identifier.issn	2056-6387
dc.identifier.issn	2056-6387
dc.identifier.uri	http://hdl.handle.net/10453/175404
dc.description.abstract	<jats:title>Abstract</jats:title><jats:p>Consider a scenario where a quantum particle is initially prepared in some bounded region of space and left to propagate freely. After some time, we verify if the particle has reached some distant target region. We find that there exist ‘ultrafast’ (‘ultraslow’) quantum states, whose probability of arrival is greater (smaller) than that of any classical particle prepared in the same region with the same momentum distribution. For both projectiles and rockets, we prove that the quantum advantage, quantified by the difference between the quantum and optimal classical arrival probabilities, is limited by the Bracken-Melloy constant <jats:italic>c</jats:italic><jats:sub>bm</jats:sub>, originally introduced to study the phenomenon of quantum backflow. In this regard, we substantiate the 29-year-old conjecture that <jats:italic>c</jats:italic><jats:sub>bm</jats:sub> ≈ 0.038 by proving the bounds 0.0315 ≤ <jats:italic>c</jats:italic><jats:sub>bm</jats:sub> ≤ 0.072. Finally, we show that, in a modified projectile scenario where the initial position distribution of the particle is also fixed, the quantum advantage can reach 0.1262.</jats:p>
dc.language	English
dc.publisher	NATURE PORTFOLIO
dc.relation.ispartof	NPJ QUANTUM INFORMATION
dc.relation.isbasedon	10.1038/s41534-023-00739-z
dc.rights	info:eu-repo/semantics/openAccess
dc.subject.classification	4613 Theory of computation
dc.subject.classification	4902 Mathematical physics
dc.subject.classification	5108 Quantum physics
dc.title	Quantum advantages for transportation tasks-projectiles, rockets and quantum backflow
dc.type	Journal Article
utslib.citation.volume	9
pubs.organisational-group	University of Technology Sydney
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
utslib.copyright.status	open_access	*
dc.date.updated	2024-02-06T23:30:35Z
pubs.issue	1
pubs.publication-status	Published
pubs.volume	9
utslib.citation.issue	1

Abstract:

AbstractConsider a scenario where a quantum particle is initially prepared in some bounded region of space and left to propagate freely. After some time, we verify if the particle has reached some distant target region. We find that there exist ‘ultrafast’ (‘ultraslow’) quantum states, whose probability of arrival is greater (smaller) than that of any classical particle prepared in the same region with the same momentum distribution. For both projectiles and rockets, we prove that the quantum advantage, quantified by the difference between the quantum and optimal classical arrival probabilities, is limited by the Bracken-Melloy constant cbm, originally introduced to study the phenomenon of quantum backflow. In this regard, we substantiate the 29-year-old conjecture that cbm ≈ 0.038 by proving the bounds 0.0315 ≤ cbm ≤ 0.072. Finally, we show that, in a modified projectile scenario where the initial position distribution of the particle is also fixed, the quantum advantage can reach 0.1262.

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http://hdl.handle.net/10453/175404