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The Entanglement of Formation for Isotropic States

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abstract

We give an explicit expression for the entanglement of formation for isotropic density matrices in arbitrary dimensions in terms of the convex hull of a simple function. For two qutrit isotropic states we determine the convex hull and we have strong evidence for its exact form for arbitrary dimension. Unlike for two qubits, the entanglement of formation for two qutrits or more is found to be a nonanalytic function of the maximally entangled fraction in the regime where the density matrix is entangled.

fields

quant-ph 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

A resource theory of asynchronous quantum information processing

quant-ph · 2025-04-17 · unverdicted · novelty 7.0

Introduces resource theories for asynchronous port-based teleportation with free classical and quantum pre-processing, computes tight fidelity bounds for isotropic, graph, and symmetrized EPR states, and proves the strongest model equals any one-way protocol in surpassing the classical teleportation

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  • A resource theory of asynchronous quantum information processing quant-ph · 2025-04-17 · unverdicted · none · ref 76 · internal anchor

    Introduces resource theories for asynchronous port-based teleportation with free classical and quantum pre-processing, computes tight fidelity bounds for isotropic, graph, and symmetrized EPR states, and proves the strongest model equals any one-way protocol in surpassing the classical teleportation