Work

Sum of Entanglement and Subsystem Coherence Is Invariant under Quantum Reference Frame Transformations

Year: 2025

Type: article

Abstract: Recent work on quantum reference frames (QRFs) has demonstrated that superposition and entanglement are properties that change under QRF transformations. Given their utility in quantum information processing, it is important to understand how a mere change of perspective can produce or reduce these resources. Here we prove the existence of a QRF invariant which can be decomposed such that it captures the trade-off between entanglement and subsystem coherence: we demonstrate the invariance of the sum of entanglement and subsystem coherence for two pairs of resource quantifiers. Moreover, we find a weaker trade-off that holds for any possible pair of measures. Finally, we discuss the implications of this interplay for violations of Bell's inequalities, clarifying that for any choice of QRF, there is a quantum resource responsible for the violation. These findings contribute to a better understanding of the quantum information theoretic aspects of QRFs, offering a foundation for future exploration in both quantum theory and quantum gravity.

Source: Physical Review Letters

DOI: 10.1103/h6b3-y4vt

Authors: Carlo Cepollaro, Ali Akil, Paweł Cieśliński, Anne-Catherine de la Hamette, Časlav Brukner

Institutions: University of Vienna, Austrian Academy of Sciences, Vienna Center for Quantum Science and Technology, University of Hong Kong, University of Gdańsk

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750