Unification of quantum resources in tripartite systems

• URL: http://arxiv.org/abs/2205.07265v1
• Date: Sun, 15 May 2022 11:32:40 GMT
• Title: Unification of quantum resources in tripartite systems
• Authors: Dong-Dong Dong, Geng-Biao Wei, Xue-Ke Song, Dong Wang, and Liu Ye
• Abstract summary: Building the relations among different quantum resources is a vital yet challenging task in multipartite quantum systems. We focus on a unified framework of interpreting the interconversions among different quantum resources in tripartite systems. The results show that these quantum resources are intrinsic related and can be converted to each other in the framework of QRTs.
• Score: 4.8723490038152635
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In quantum resource theories (QRTs), there exists evidences of intrinsic connections among different measures of quantum resources, including entanglement, coherence, quantum steering, and so on. However, building the relations among different quantum resources is a vital yet challenging task in multipartite quantum systems. Here, we focus on a unified framework of interpreting the interconversions among different quantum resources in tripartite systems. In particular, an exact relation between the generalized geometric measure and the genuinely multipartite concurrence are derived for tripartite entanglement states. Then we obtain the tradeoff relation between the first-order coherence and the genuine tripartite entanglement by the genuinely multipartite concurrence and concurrence fill. Furthermore, the tradeoff relation between the maximum steering inequality violation and concurrence fill for an arbitrary three-qubit pure state is found. In addition, we investigate the close relation between the maximum steering inequality violation and the first-order coherence. The results show that these quantum resources are intrinsic related and can be converted to each other in the framework of QRTs, although they are still regarded to be different.

Related papers

• Coherence-mixedness trade-offs [2.4940844507983875]
  We show that quantum coherence is severely restricted by environmental noise in general quantum processing. We derive basis-independent constraints on the attainable quantum coherence imposed by the mixedness of a quantum state.
  arXiv  Detail & Related papers  (2024-05-23T09:07:46Z)
• Trade-off relations of geometric coherence [0.43512163406552007]
  We study the trade-off relation of geometric coherence in qubit systems. We derive the quantum uncertainty relations of the geometric coherence on two and three general measurement bases.
  arXiv  Detail & Related papers  (2023-10-24T03:04:59Z)
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics [0.0]
  We aim to augment our comprehension of genuine quantum phenomena manifested across diverse technological applications. We emphasize the underlying similarities shared by various resources, including bipartite quantum entanglement, quantum coherence, and superposition.
  arXiv  Detail & Related papers  (2023-06-20T13:02:52Z)
• Multipartite entanglement theory with entanglement-nonincreasing operations [91.3755431537592]
  We extend the resource theory of entanglement for multipartite systems beyond the standard framework of local operations and classical communication. We demonstrate that in this adjusted framework, the transformation rates between multipartite states are fundamentally dictated by the bipartite entanglement entropies of the respective quantum states.
  arXiv  Detail & Related papers  (2023-05-30T12:53:56Z)
• Information causality in multipartite scenarios [1.0312968200748118]
  We report a new formulation of the information causality principle in multipartite scenarios. We prove that such inequalities hold for all quantum resources, and forbid some stronger-than-quantum ones.
  arXiv  Detail & Related papers  (2022-12-11T20:32:21Z)
• Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance [117.44028458220427]
  We analyze the behavior of both genuine multipartite entanglement and quantum coherence under Lorentz boosts. A given combination of these quantum resources is shown to form a Lorentz invariant.
  arXiv  Detail & Related papers  (2021-11-26T17:22:59Z)
• Stochastic approximate state conversion for entanglement and general quantum resource theories [41.94295877935867]
  An important problem in any quantum resource theory is to determine how quantum states can be converted into each other. Very few results have been presented on the intermediate regime between probabilistic and approximate transformations. We show that these bounds imply an upper bound on the rates for various classes of states under probabilistic transformations. We also show that the deterministic version of the single copy bounds can be applied for drawing limitations on the manipulation of quantum channels.
  arXiv  Detail & Related papers  (2021-11-24T17:29:43Z)
• Experimental violations of Leggett-Garg's inequalities on a quantum computer [77.34726150561087]
  We experimentally observe the violations of Leggett-Garg-Bell's inequalities on single and multi-qubit systems. Our analysis highlights the limits of nowadays quantum platforms, showing that the above-mentioned correlation functions deviate from theoretical prediction as the number of qubits and the depth of the circuit grow.
  arXiv  Detail & Related papers  (2021-09-06T14:35:15Z)
• Extendibility limits the performance of quantum processors [5.949779668853555]
  We introduce the resource theory of unextendibility, which is associated with the inability of extending quantum entanglement in a given quantum state to multiple parties. We derive non-asymptotic, upper bounds on the rate at which quantum communication or entanglement preservation is possible by utilizing an arbitrary quantum channel a finite number of times. We show that the bounds obtained are significantly tighter than previously known bounds for quantum communication over both the depolarizing and erasure channels.
  arXiv  Detail & Related papers  (2021-08-06T14:17:08Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Quantum Entropic Causal Inference [30.939150842529052]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links.
  arXiv  Detail & Related papers  (2021-02-23T15:51:34Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.