Entanglement patterns and pure quantum correlations in the Heisenberg<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math>model

Santos, F. B. M. dos; Dias, R. M.; Macêdo, A. M. S.

doi:10.1103/physreva.79.032329

Cited by 6 publications

(5 citation statements)

References 29 publications

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“…In the meantime, spin systems are also considered to be a promising platform to implement a quantum computer. In fact, most of the work on quantum computers is based on spin systems (Note: superconducting loops are actually artificial spins) 47–56 and Heisenberg model is the most popular model used in treating such systems. 52–56 If we take our pseudo-spin states |↓〉 and |↑〉 as qubits states, then the two methods coincide.…”

Section: Discussion and Prospectsmentioning

confidence: 99%

“…In fact, most of the work on quantum computers is based on spin systems (Note: superconducting loops are actually artificial spins) 47–56 and Heisenberg model is the most popular model used in treating such systems. 52–56 If we take our pseudo-spin states |↓〉 and |↑〉 as qubits states, then the two methods coincide. This opens up the prospect of directly transplanting methods and techniques developed for spins to polar molecules.…”

Section: Discussion and Prospectsmentioning

confidence: 99%

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Realization of Heisenberg models of spin systems with polar molecules in pendular states

Yue

Kais

et al. 2022

Phys. Chem. Chem. Phys.

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Section: Discussion and Prospectsmentioning

confidence: 99%

Section: Discussion and Prospectsmentioning

confidence: 99%

Realization of Heisenberg models of spin systems with polar molecules in pendular states

Yue

Kais

et al. 2022

Phys. Chem. Chem. Phys.

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show abstract

“…In the meantime, spin systems are also considered to be a promising platform to implement a quantum computer. In fact, most of the work on quantum computers is based on spin systems (Note: superconducting loops are actually artificial spins) [46][47][48][49][50][51][52][53][54][55] and Heisenberg model is the most popular model used in treating such systems [51][52][53][54][55] . If we take our pseudo-spin states |↓ and |↑ as qubits states, then the two methods coincide.…”

Section: Discussion and Prospectsmentioning

confidence: 99%

Realization of Heisenberg models of spin systems with polar molecules in pendular states

Yue,

Wei,

Kais

et al. 2021

Preprint

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We show that ultra-cold polar diatomic or linear molecules, oriented in an external electric field and mutually coupled by dipole-dipole interactions, can be used to realize the exact Heisenberg XYZ, XXZ and XY models without invoking any approximation. The two lowest lying excited pendular states coupled by microwave or radio-frequency fields are used to encode the pseudo-spin. We map out the general features of the models by evaluating the models' constants as functions of the molecular dipole moment, rotational constant, strength and direction of the external field as well as the distance between molecules. We calculate the phase diagram for a linear chain of polar molecules based on the Heisenberg models and discuss their drawbacks, advantages, and potential applications.

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“…In a recent paper [19], it was shown that even in a finite system, where the notion of quantum order, defined via singularities in the energy density, does not apply, it is still possible to distinguish different types quantum correlations via measures of ground-state and thermal entanglements. These "entanglement patterns" were identified with classes of qualitatively distinct behaviors of the concurrency as a function of a control parameter.…”

Section: Introductionmentioning

confidence: 99%

“…As shown in Ref. [19], the choice of such tunings can be guided by means of a diagram in parameter space containing boundary lines that separate the different entan-glement patterns in the system. Understanding the role of the network topology in the emergence and tuning of such patterns and its association with different types of pure quantum correlations is one of the central motivations of the present study.…”

Section: Introductionmentioning

confidence: 99%

Tuning Entanglement Patterns in Qubits Clusters

Santos¹,

Macêdo²

2013

JQIS

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We identify patterns of ground state entanglement, or quantum discord, in qubit clusters with three and four qubits, that are induced by varying the couplings between next-nearest neighbors in the clusters. We show that these entanglement patterns can be associated with continuous multiply connected regions in parameter space, on which entanglement quantifiers, such as the pairwise concurrence, exhibit a particular type of behavior as a function of the couplings between next-nearest neighbors in the cluster. We present the distinct patterns in diagrams in parameter space with continuous boundary lines and we associate each pattern to a specific type of pure quantum correlation. We propose this procedure as a simple method to identify useful classes of pure quantum correlations in qubit networks.

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Entanglement patterns and pure quantum correlations in the HeisenbergXYmodel

Cited by 6 publications

References 29 publications

Realization of Heisenberg models of spin systems with polar molecules in pendular states

Realization of Heisenberg models of spin systems with polar molecules in pendular states

Realization of Heisenberg models of spin systems with polar molecules in pendular states

Tuning Entanglement Patterns in Qubits Clusters

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