Entanglement Distillation Optimization Using Fuzzy Relations for Quantum State Tomography

• Main Authors: Ganesan, T., Elamvazuthi, I.
• Format: Article
• Published: Multidisciplinary Digital Publishing Institute (MDPI) 2023
• Online Access: http://scholars.utp.edu.my/id/eprint/37499/; https://www.scopus.com/inward/record.uri?eid=2-s2.0-85166004409&doi=10.3390%2fa16070313&partnerID=40&md5=62e22dc1164d181903934127383fda0e

Practical entanglement distillation is a critical component in quantum information theory. Entanglement distillation is often utilized for designing quantum computer networks and quantum repeaters. The practical entanglement distillation problem is formulated as a bilevel optimization problem. A fuzzy formulation is introduced to estimate the quantum state (density matrix) from pseudo-likelihood functions (i.e., quantum state tomography). A scale-independent relationship between fuzzy relations in terms of the pseudo-likelihood functions is obtained. The entanglement distillation optimization problem is solved using the combined coupled map lattice and dual annealing approach. Comparative analysis of the results is then conducted against a standard dual annealing algorithmic implementation. © 2023 by the authors.