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Sequentially generated entanglement, macroscopicity, and squeezing in a spin chain

Abad, T ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevA.96.042337
  3. Abstract:
  4. We study quantum states generated by a sequence of nearest neighbor bipartite entangling operations along a one-dimensional chain of spin qubits. After a single sweep of such a set of operations, the system is effectively described by a matrix product state (MPS) with the same virtual dimension as the spin qubits. We employ the explicit form of the MPS to calculate expectation values and two-site correlation functions of local observables, and we use the results to study fluctuations of collective observables. Through the so-called macroscopicity and the squeezing properties of the collective spin variables they witness the quantum correlations and multiparticle entanglement within the chain. Macroscopicity only occurs over the entire chain if the nearest neighbor interaction is maximally entangling, while a finite, sequential interaction between nearest neighbor particles leads to squeezing of the collective spin. © 2017 American Physical Society
  5. Keywords:
  6. Chains ; Quantum computers ; Quantum optics ; Quantum theory ; Correlation function ; Entangling operation ; Matrix product state ; Multiparticle entanglement ; Nearest-neighbor interactions ; One-dimensional chains ; Quantum correlations ; Sequential interactions ; Quantum entanglement
  7. Source: Physical Review A ; Volume 96, Issue 4 , 2017 ; 24699926 (ISSN)
  8. URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.042337