Quantum measurement simulability and applications to Bell nonlocality

• Grant number: 18/04208-9
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2018
• End date: March 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Nathan Jacob Berkovits
• Grantee: Leonardo Guerini de Souza
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated research grant: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics, AP.ESP

Abstract

By performing local measurements on subsystems of a multipartite quantum system, onemay obtain stronger correlations than the ones generated classically. Depending on how thesecorrelations can be modelled, we define the concepts of separability, Einstein-Podolsky-Rosen unsteerability, and Bell locality. The main goal of this research project is to give continuation to the theory of quantum measurement simulability initiated in previous works, where we constructed such models tailored for some subsets of measurements and then extended them via simulability. We now propose to generalise these ideas to simulate measurements in different dimensions, after some recent results in this direction.Analogously to entanglement for quantum states, the incompatibility of the measurementsis a necessary ingredient for displaying any non-classical feature on a system. We intendto develop a resource theory of measurement incompatibility, combining some recentlycharacterised features with the fruitful approach of resource theory.Regarding Bell nonlocality, we wish to characterize the boundary of the set of unsteerable states with the help of a modified perturbation technique, which in turn would solve the question of usefulness of non-projective measurements in the context of quantum correlations.

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GUERINI, LEONARDO; QUINTINO, MARCO TULIO; AOLITA, LEANDRO. Distributed sampling, quantum communication witnesses, and measurement incompatibility. Physical Review A, v. 100, n. 4, OCT 14 2019. (16/01343-7, 18/04208-9)

AGRESTI, IRIS; PODERINI, DAVIDE; GUERINI, LEONARDO; MANCUSI, MICHELE; CARVACHO, GONZALO; AOLITA, LEANDRO; CAVALCANTI, DANIEL; CHAVES, RAFAEL; SCIARRINO, FABIO. Experimental device-independent certified randomness generation with an instrumental causal structure. COMMUNICATIONS PHYSICS, v. 3, n. 1, JUN 18 2020. (16/01343-7, 18/04208-9)

WIERSEMA, ROELAND; GUERINI, LEONARDO; CARRASQUILLA, JUAN FELIPE; AOLITA, LEANDRO. Circuit connectivity boosts by quantum-classical-quantum interfaces. PHYSICAL REVIEW RESEARCH, v. 4, n. 4, p. 14-pg., 2022-12-29. (18/04208-9, 16/01343-7)

GUERINI, LEONARDO; BARAVIERA, ALEXANDRE. Birkhoff-von Neumann's theorem, doubly normalized tensors, and joint measurability. LINEAR & MULTILINEAR ALGEBRA, v. N/A, p. 14-pg., 2022-12-29. (18/04208-9, 16/01343-7)

GUERINI, LEONARDO; QUINTINO, MARCO TULIO; AOLITA, LEANDRO. Distributed sampling, quantum communication witnesses, and measurement incompatibility. PHYSICAL REVIEW A, v. 100, n. 4, p. 10-pg., 2019-10-14. (16/01343-7, 18/04208-9)