https://doi.org/10.1140/epjc/s10052-024-12598-9
Regular Article - Theoretical Physics
Effects of underlying topology on quantum state discrimination
1
Perimeter Institute for Theoretical Physics, ON, N2L 2Y5, Waterloo, Canada
2
Department of Physics, College of Science, Kuwait University, Sabah Al Salem University City, P.O. Box 2544, 1320, Safat, Kuwait
3
Qatar Center for Quantum Computing, College of Science and Engineering, Hamad Bin Khalifa University, Doha, Qatar
4
Canadian Quantum Research Center, 204-3002, 32 Ave, V1T 2L7, Vernon, BC, Canada
5
Irving K. Barber School of Arts and Sciences, University of British Columbia Okanagan Campus, V1V1V7, Kelowna, BC, Canada
Received:
11
September
2023
Accepted:
21
February
2024
Published online:
8
March
2024
In this work, we show that quantum state discrimination can be modified due to a change in the underlying topology of a system. In particular, we explicitly demonstrate that the quantum state discrimination of systems with underlying discrete topology differs from that of systems with underlying continuous topology. Such changes in the topology of a spacetime can occur in certain quantum gravity approaches. In fact, all approaches to quantum gravity can be classified into two types: those with underlying continuous topology (such as string theory) and those with an underlying discrete topology (such as loop quantum gravity). We demonstrate that the topology of these two types of quantum gravity approaches has different effects on the quantum state discrimination of low-energy quantum systems. We also show that any modification of quantum mechanics, which does not change the underlying topology, does not modify quantum state discrimination.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
