Numerical renormalization group method for entanglement negativity at finite temperature

Shim, Jeongmin; Sim, Hyun Sub; Lee, Seung-Sup B.

doi:10.1103/physrevb.97.155123

Cited by 15 publications

(11 citation statements)

References 51 publications

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“…In a real quantum system, the thermal robustness of multipartite quantum correlations is an important property for quantum information processing [63][64][65][66][67]. The thermal state under the equilibrium at a finite temperature T can be written as ρ(T ) = 1 Z e −βH in which Z = tr[exp(−βH)] is the partition function with H being the system Hamiltonian and β = 1/k B T (for simplicity, the Boltzmann constant is chosen to be k B = 1).…”

Section: Properties Of Multipartite Quantum Correlation At Finite Tem...mentioning

confidence: 99%

Multipartite quantum correlations in the frustrated and nonfrustrated regimes of a tunable triangular Ising system

Ren¹,

Fang-Man²,

Ren³

et al. 2021

Preprint

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We study the multipartite quantum correlation (MQC) in a quantum transverse Ising model with the tunable triangular configuration. It is found that the anisotropic coupling can modulate the MQC in the frustrated phase and the MQC combined with its susceptibility can distinguish the frustrated and the nonfrustrated regimes in the ground state. Furthermore, we analyze the correlation properties at finite temperatures, where the MQC in the nonfrustrated phase is high at zero temperature but thermally fragile, which stems from the competition of the eigenvectors in the thermal state. Interestingly, in the frustrated phase, there is a trade-off relation between high quantum correlation and strong thermal robustness by tuning the anisotropic interactions, where the MQC can attain to a relatively higher value and have the well robustness to temperature at the same time. In addition, an experimental scheme for the MQC modulation via anisotropic coupling is discussed in the system of cold atoms trapped in an optical lattice.

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Section: Properties Of Multipartite Quantum Correlation At Finite Tem...mentioning

confidence: 99%

Multipartite quantum correlations in the frustrated and nonfrustrated regimes of a tunable triangular Ising system

Ren¹,

Fang-Man²,

Ren³

et al. 2021

Preprint

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show abstract

“…For quantum many-body systems the logarithmic negativity has been studied extensively in the literature [28][29][30]33,34,45,[48][49][50][51] . In particular, it has been found that E N displays the same universal contributions at quantum critical points 12,38,39,52 , as does the entanglement entropy 13,36,38 .…”

Section: Logarithmic Negativitymentioning

confidence: 99%

Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks in the transverse-field Ising chain

et al. 2018

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Keywords: ground states and nonzero temperature states of transverse-field Ising model, entanglement, logarithmic negativity, density matrices and partial transpose, entanglement threshold and sudden death of entanglement Abstract Entanglement has developed into an essential concept for the characterization of phases and phase transitions in ground states of quantum many-body systems. In this work we use the logarithmic negativity to study the spatial entanglement structure in the transverse-field Ising chain both in the ground state and at nonzero temperatures. Specifically, we investigate the entanglement between two disjoint blocks as a function of their separation, which can be viewed as the entanglement analog of a spatial correlation function. We find sharp entanglement thresholds at a critical distance beyond which the logarithmic negativity vanishes exactly and thus the two blocks become unentangled, which holds even in the presence of long-ranged quantum correlations, i.e., at the system's quantum critical point. Using time-evolving block decimation, we explore this feature as a function of temperature and size of the two blocks and present a simple model to describe our numerical observations.

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“…While the tilt control by changing the detuning is the most common "electrical" method to control a qubit, it has been recently realized, in double-quantum-dot spin qubit systems, that varying the barrier between the two dots ("barrier control") [51][52][53] serves as a powerful alternative to other methods, having advantages in many ways [54][55][56][57]. In this paper, we apply the barrier control to a charge qubit encoded in a triple-quantum-dot system.…”

Section: Introductionmentioning

confidence: 99%

Tunable charge qubit based on barrier-controlled triple quantum dots

2018

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We present a theoretical proposal of a tunable charge qubit, hosted in triple quantum dots. The manipulation is solely performed by changing the heights of the two potential barriers between the three dots, while the energy of all three dots are fixed. We have found that when the relative height of the two barriers are changed, the direction of the axis of rotation in performing single-qubit gates can be varied. On the other hand, the corresponding rotation speed can be tuned by raising or lowering the two barriers at the same time. Our proposal therefore allows for tunability of both the rotation axis and rotating speed for a charge qubit via all-electrical control, which may facilitate realization of quantum algorithms in these devices. arXiv:1805.04221v2 [cond-mat.mes-hall]

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Numerical renormalization group method for entanglement negativity at finite temperature

Cited by 15 publications

References 51 publications

Multipartite quantum correlations in the frustrated and nonfrustrated regimes of a tunable triangular Ising system

Multipartite quantum correlations in the frustrated and nonfrustrated regimes of a tunable triangular Ising system

Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks in the transverse-field Ising chain

Tunable charge qubit based on barrier-controlled triple quantum dots

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