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Klaus Mølmer

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

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Sequentially generated entanglement, macroscopicity, and squeezing in a spin chain. / Abad, Tahereh; Molmer, Klaus; Karimipour, Vahid.

I: Physical Review A, Bind 96, Nr. 4, 042337, 26.10.2017.

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

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Abad, Tahereh ; Molmer, Klaus ; Karimipour, Vahid. / Sequentially generated entanglement, macroscopicity, and squeezing in a spin chain. I: Physical Review A. 2017 ; Bind 96, Nr. 4.

Bibtex

@article{c95732877b88434da6f7d5a03032024e,
title = "Sequentially generated entanglement, macroscopicity, and squeezing in a spin chain",
abstract = "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.",
keywords = "PROBABILITY RELATIONS, SEPARATED SYSTEMS, STATES",
author = "Tahereh Abad and Klaus Molmer and Vahid Karimipour",
year = "2017",
month = oct,
day = "26",
doi = "10.1103/PhysRevA.96.042337",
language = "English",
volume = "96",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Sequentially generated entanglement, macroscopicity, and squeezing in a spin chain

AU - Abad, Tahereh

AU - Molmer, Klaus

AU - Karimipour, Vahid

PY - 2017/10/26

Y1 - 2017/10/26

N2 - 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.

AB - 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.

KW - PROBABILITY RELATIONS

KW - SEPARATED SYSTEMS

KW - STATES

U2 - 10.1103/PhysRevA.96.042337

DO - 10.1103/PhysRevA.96.042337

M3 - Journal article

VL - 96

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 4

M1 - 042337

ER -