Preprint Hypothesis Version 2 Preserved in Portico This version is not peer-reviewed

A Way to Construct Quantum Speed Limits between Arbitrary Fixed States

Version 1 : Received: 17 January 2022 / Approved: 20 January 2022 / Online: 20 January 2022 (10:30:56 CET)
Version 2 : Received: 7 March 2022 / Approved: 7 March 2022 / Online: 7 March 2022 (13:42:08 CET)
Version 3 : Received: 29 October 2022 / Approved: 31 October 2022 / Online: 31 October 2022 (04:32:16 CET)
(This article belongs to the Research Topic Quantum Computing)

How to cite: Anand, H. A Way to Construct Quantum Speed Limits between Arbitrary Fixed States. Preprints 2022, 2022010297. https://doi.org/10.20944/preprints202201.0297.v2 Anand, H. A Way to Construct Quantum Speed Limits between Arbitrary Fixed States. Preprints 2022, 2022010297. https://doi.org/10.20944/preprints202201.0297.v2

Abstract

We shall first give an introduction to the subject of quantum speed limits and then present a more general quantum speed limit than what is currently known. Finally, we generalise the process and find that there are infinite speed limits that can be constructed via a similar process.

Keywords

Quantum speed limits; quantum information; Quantum computing

Subject

Physical Sciences, Mathematical Physics

Comments (2)

Comment 1
Received: 7 March 2022
Commenter: Harsh Anand
Commenter's Conflict of Interests: Author
Comment: We hd seen a new unconventional way to construct a quantum speed limit between arbitrary fixed states. This follow up version shall generalise the process and create one final ultimate speed limit between any two arbitrarily fixed states.
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Comment 2
Received: 22 July 2022
The commenter has declared there is no conflict of interests.
Comment: 1) In page 3, under "Inferences", point 4 is an error. The speed limit obtained in the paper is not valid for mixed states.

2) In the same page, the section 5 claiming generation of infinite limits, is wrong. The procedure described would yield only one speed limit; varying the arbitrary chosen state vectors will not generate new information, and thus any such vector will give the same limit.

3) Since Eq 20. is an equation, it leads to the formation of the most accurate speed limit between two pure arbitrarily chosen fixed states.
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