Partial coherence versus entanglement

• URL: http://arxiv.org/abs/2302.01760v1
• Date: Thu, 2 Feb 2023 11:17:35 GMT
• Title: Partial coherence versus entanglement
• Authors: Sunho Kim, Chunhe Xiong, Shunlong Luo, Asutosh Kumar, and Junde Wu
• Abstract summary: We study partial coherence and its connections with entanglement. We show that the minimal partial coherence under local unitary operations is a measure of entanglement for bipartite pure states. There is a one-to-one correspondence between entanglement and partial coherence measures.
• Score: 2.446672595462589
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We study partial coherence and its connections with entanglement. First, we provide a sufficient and necessary condition for bipartite pure state transformation under partial incoherent operations: A bipartite pure state can be transformed to another one if and only if a majorization relationship holds between their partial coherence vectors. As a consequence, we introduce the concept of maximal partial coherent states in the sense that they can be used to construct any bipartite state of the same system via partial incoherent operations. Second, we provide a strategy to construct measures of partial coherence by the use of symmetric concave functions. Third, we establish some relationships between partial coherence and entanglement. We show that the minimal partial coherence under local unitary operations is a measure of entanglement for bipartite pure states, which can be extended to all mixed states by convex-roof. We also show that partial coherence measures are induced through maximal entanglement under partial incoherent operations for bipartite pure states. There is a one-to-one correspondence between entanglement and partial coherence measures.

Related papers

• Quantum Coherence: A Fundamental Resource for Establishing Genuine Multipartite Correlations [6.735463087007947]
  We establish the profound equivalence between measures of genuine multipartite entanglement(GME) and their corresponding coherence measures. We find that genuine multipartite steering and nonlocality are present if and only if the coherence exists in the corresponding qubit states.
  arXiv  Detail & Related papers  (2024-11-18T11:44:19Z)
• Composable Part-Based Manipulation [61.48634521323737]
  We propose composable part-based manipulation (CPM) to improve learning and generalization of robotic manipulation skills. CPM comprises a collection of composable diffusion models, where each model captures a different inter-object correspondence. We validate our approach in both simulated and real-world scenarios, demonstrating its effectiveness in achieving robust and generalized manipulation capabilities.
  arXiv  Detail & Related papers  (2024-05-09T16:04:14Z)
• Entanglement statistics of randomly interacting spins [62.997667081978825]
  Entanglement depends on the underlying topology of the interaction among the qubits. We investigate the entanglement in the ground state of systems comprising two and three qubits with random interactions.
  arXiv  Detail & Related papers  (2023-07-18T23:58:32Z)
• 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)
• Quantum coherence between subspaces: State transformation, Cohering Power, $k$-coherence and other properties [0.0]
  We develop a framework which facilitates further investigation of bock-coherence. We define the concept of block-cohering and block-decohering powers of quantum channels. We explore the relation between block coherence and a previous extension of coherence, known as $k$-coherence.
  arXiv  Detail & Related papers  (2023-02-25T20:09:59Z)
• Concurrence triangle induced genuine multipartite entanglement measure [0.0]
  We study the quantification of genuine multipartite entanglement (GME) for general multipartite states. A series of triangles, named concurrence triangles, are established corresponding to inequalities. The GME measures classify which parts are separable or entangled with the rest ones for non genuine entangled pure states.
  arXiv  Detail & Related papers  (2022-12-14T07:27:38Z)
• Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication [60.18814584837969]
  We introduce the notion of q-compatibility, which unifies different notions of POVMs, channels, and instruments incompatibility. We are able to pinpoint exactly what each notion of incompatibility consists of, in terms of information-theoretic resources.
  arXiv  Detail & Related papers  (2022-11-16T21:33:31Z)
• Interplay between transport and quantum coherences in free fermionic systems [58.720142291102135]
  We study the quench dynamics in free fermionic systems. In particular, we identify a function, that we dub emphtransition map, which takes the value of the stationary current as input and gives the value of correlation as output.
  arXiv  Detail & Related papers  (2021-03-24T17:47:53Z)
• Finite Block Length Analysis on Quantum Coherence Distillation and Incoherent Randomness Extraction [64.04327674866464]
  We introduce a variant of randomness extraction framework where free incoherent operations are allowed before the incoherent measurement. We show that the maximum number of random bits extractable from a given quantum state is precisely equal to the maximum number of coherent bits that can be distilled from the same state. Remarkably, the incoherent operation classes all admit the same second order expansions.
  arXiv  Detail & Related papers  (2020-02-27T09:48:52Z)
• Quantifying coherence in terms of the pure-state coherence [0.6425667247686813]
  We show that any state can be produced from some input pure states via the corresponding incoherent channels. It is especially found that the coherence of a given state can be well characterized by the least coherence of the input pure states.
  arXiv  Detail & Related papers  (2020-02-11T11:58:43Z)

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.