Quantum Resource Theories beyond Convexity
Year: 2026
Type: article
Abstract: A class of quantum resource theories, based on non-convex star-shape sets, presented in this work captures the key quantum properties that cannot be studied by standard convex theories. We provide operational interpretations for a resource of this class and demonstrate its advantage to improve performance of correlated quantum discrimination tasks and testing of quantum combs. Proposed techniques provide useful tools to describe quantum discord, total correlations in composite quantum systems and to estimate the degree of non-Markovianity of an analyzed quantum dynamics. Other applications include the problem of unistochasticity of a given bistochastic matrix, with relevance for quantization of classical dynamics and studies of violation of CP-symmetry in high energy physics. In all these cases, the non-linear witnesses introduced here outperform the standard linear witnesses. Importance of our findings for quantum information theory is also emphasized.
Source: Quantum
Institutions: Jagiellonian University, University of Malta, Nanyang Technological University, Institute for Cross-Disciplinary Physics and Complex Systems, Universitat de les Illes Balears, Institute of Photonic Sciences, Barcelona Institute of Science and Technology, University of Gdańsk, Center for Theoretical Physics, Polish Academy of Sciences
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $215
Awards: G1011976076, G1117660340, Enabling efficient computation on fault tolerant quantum computers, G2539852643, G2914115350, G3116650686, G434337789, G575169067, QuantERA II ERA-NET Cofund in Quantum Technologies, G6863715629, G7051150526, G7063557596, G7318129340, G735078438, G7830791575, Quantum Secure Networks Partnership, G885599476
OpenAlex ID: W4396822382