Localizable Entanglement

By M. Popp, Frank Verstraete, Miguel Angel Martin-Delgado, J. I. Cirac. 2004

160 citations recorded by the source corpus.

We consider systems of interacting spins and study the entanglement that can be localized , on average, between two separated spins by performing local measurements on the remaining spins. This concept of Localizable Entanglement (LE) leads naturally to notions like entanglement length and entanglement fluctuations. For both spin-1/2 and spin-1 systems we prove that the LE of a pure quantum state can be lower bounded by connected correlation functions. We further propose a scheme, based on matrix-product states and the Monte Carlo method, to efficiently calculate the LE for quantum states of a large number of spins. The virtues of LE are illustrated for various spin models. In particular, characteristic features of a quantum phase transition such as a diverging entanglement length can be observed. We also give examples for pure quantum states exhibiting a diverging entanglement length but finite correlation length. We have numerical evidence that the ground state of the antiferromagnetic spin-1 Heisenberg chain can serve as a perfect quantum channel. Furthermore, we apply the numerical method to mixed states and study the entanglement as a function of temperature.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/82dc5537e38297286678111e8ce2fb74403a6232

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In Artificial Intelligence

  1. Hsin-Yuan Huang
  2. M. Endres
  3. Soonwon Choi
  4. Jordan S. Cotler

In Atomic and Molecular Physics, and Optics

  1. Hsin-Yuan Huang
  2. M. Endres
  3. Soonwon Choi
  4. Jordan S. Cotler

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