Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Entanglement Distillation Optimization using Fuzzy Relations for Quantum State Tomography

Version 1 : Received: 1 June 2023 / Approved: 2 June 2023 / Online: 2 June 2023 (14:08:44 CEST)

A peer-reviewed article of this Preprint also exists.

Ganesan, T.; Elamvazuthi, I. Entanglement Distillation Optimization Using Fuzzy Relations for Quantum State Tomography. Algorithms 2023, 16, 313. Ganesan, T.; Elamvazuthi, I. Entanglement Distillation Optimization Using Fuzzy Relations for Quantum State Tomography. Algorithms 2023, 16, 313.

Abstract

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 was 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.

Keywords

practical entanglement distillation; bilevel optimization; fuzzy formulation; quantum state tomography; coupled map lattices; dual annealing

Subject

Computer Science and Mathematics, Computer Networks and Communications

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