Relationship between quantum-memory-assisted entropic uncertainty and steered quantum coherence in a two-qubit X state

Zhang, Yanliang; Kang, Guodong; Yi, Songjie; Xu, Hongzhi; Zhou, Qin; Mao-Fa, Fang

doi:10.1007/s11128-023-03862-0

Cited by 7 publications

(1 citation statement)

References 43 publications

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“…Spin chains have gained increasing attention within various theoretical and experimental quantum computing platforms, mainly due to their integrability and scalability [10][11][12][13][14][15]. In fact, spin chains have become valuable tools for realizing quantum coherence and correlations, particularly in the context of Heisenberg models [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. Owing to the various configurations of spin correlation, spin chain models have significant amounts of quantum resources in entanglement and coherence.…”

Section: Introductionmentioning

confidence: 99%

Trade-off relations of quantum resource theory in Heisenberg models

Ali,

Al-Kuwari,

Haddadi

2024

Phys. Scr.

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Studying the relations between entanglement and coherence is essential in many quantum information applications. For this, we consider the concurrence, intrinsic concurrence and first-order coherence, and evaluate the proposed trade-off relations between them. In particular, we study the temporal evolution of a general two-qubit XYZ Heisenberg model with asymmetric spin-orbit interaction under decoherence and analyze the trade-off relations of quantum resource theory.For XYZ Heisenberg model, we confirm that the trade-off relation between intrinsic concurrence and first-order coherence holds. Furthermore, we show that the lower bound of intrinsic concurrence is universally valid, but the upper bound is generally not.These relations in Heisenberg models can provide a way to explore how quantum resources are distributed in spins, which may inspire future applications in quantum information processing.

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