Efficient numerical method to calculate the three-tangle of mixed states

2009/12/31 by Kun Cao, Zheng-Wei Zhou, Guang-Can Guo +2 · 24 citations
Computer Science · Mathematics · Physics and Astronomy · #Mathematics #Pure mathematics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #Tangle #quant-ph

paper · pdf · doi:10.1103/physreva.81.034302

published in Physical Review A 81(3) (American Physical Society)

arxiv created 2009/12/31 · openalex publication_date 2010/03/25 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We demonstrate an efficient numerical method to calculate the three-tangle of general mixed states. We construct an ``energy function'' (target function) for the three-tangle of the mixed state under certain constraints. The energy function (target function) is then optimized via the replica exchange Monte Carlo method. We have extensively tested the method for the examples with known analytical results, showing remarkable agreement. The method can be applied to other optimization problems in quantum information theory.

Citations

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Multidimensional replica-exchange method for free-energy calculations
• Information-theoretic measure of genuine multiqubit entanglement
• Phase changes in 38-atom Lennard-Jones clusters. I. A parallel tempering study in the canonical ensemble
• Entanglement in many-body systems
• Distributed Entanglement

Cited by

• Linear semi-infinite programming approach for entanglement quantification