Basis-independent Coherence and its Applications

• URL: http://arxiv.org/abs/2412.07449v1
• Date: Tue, 10 Dec 2024 12:07:42 GMT
• Title: Basis-independent Coherence and its Applications
• Authors: Zhi-Xiang Jin, Yuan-Hong Tao, Bing Yu, Shao-Ming Fei,
• Abstract summary: We analyze a basis-independent definition of quantum coherence, and the incoherent state is taken as the maximally mixed state. The relations among basis-independent coherence, quantum entanglement, and quantum discord are discussed by using the relative entropy within a multipartite system.
• Score: 5.850003728479473
• License:
• Abstract: In the quantitative theory of quantum coherence, the amount of coherence for given states can be meaningfully discussed only when referring to a preferred basis. One of the objections to this quantification is that the amount of coherence is an intrinsically basis-dependent quantity. This limitation can, however, be lifted when considering a set of quantum states invariant under arbitrary unitary transformations. Thus, we analyze a basis-independent definition of quantum coherence, and the incoherent state is taken as the maximally mixed state. We describe the relationship between the basis-independent and the basis-dependent approaches and give several applications to show the advantages of the former method. The relations among basis-independent coherence, quantum entanglement, and quantum discord are discussed by using the relative entropy within a multipartite system.

Related papers

• Reducing the sampling complexity of energy estimation in quantum many-body systems using empirical variance information [45.18582668677648]
  We consider the problem of estimating the energy of a quantum state preparation for a given Hamiltonian in Pauli decomposition. We construct an adaptive estimator using the state's actual variance.
  arXiv  Detail & Related papers  (2025-02-03T19:00:01Z)
• 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)
• Quantification of Entanglement and Coherence with Purity Detection [16.01598003770752]
  Entanglement and coherence are fundamental properties of quantum systems, promising to power near future quantum technologies. Here, we demonstrate quantitative bounds to operationally useful entanglement and coherence. Our research offers an efficient means of verifying large-scale quantum information processing.
  arXiv  Detail & Related papers  (2023-08-14T11:03:40Z)
• 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)
• 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)
• Quantum coherence with incomplete set of pointers and corresponding wave-particle duality [0.0]
  Quantum coherence quantifies the amount of superposition in a quantum system. We develop the corresponding resource theory, identifying the free states and operations. We obtain a complementarity relation between the so-defined quantum coherence and the which-path information in an interferometric set-up.
  arXiv  Detail & Related papers  (2021-08-12T16:55:40Z)
• The tripartite quantum-memory-assisted entropic uncertainty relation and upper bound on shareability of quantum discord [0.0]
  The relation between entropic uncertainty relation and the shareability of quantum discord is studied. For a specific class of tripartite states, the obtained relation could be expressed as monogamy of quantum discord.
  arXiv  Detail & Related papers  (2021-07-27T08:29:05Z)
• 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)
• Set coherence: basis-independent quantification of quantum coherence [0.0]
  We introduce the concept of set coherence for characterising the coherence of a set of quantum systems in a basis-independent way. We construct measures for quantifying set coherence of sets of quantum states as well as quantum measurements.
  arXiv  Detail & Related papers  (2020-10-20T16:11:57Z)
• Quantum coherence and correlation measures based on affinity [1.3907460999698045]
  Coherence and correlation are key features of the quantum system. We identify an affinity-based metric to quantify closeness between two states. We propose a bipartite quantum correlation measure based on the affinity metric.
  arXiv  Detail & Related papers  (2020-03-29T17:03:52Z)
• Direct estimation of quantum coherence by collective measurements [54.97898890263183]
  We introduce a collective measurement scheme for estimating the amount of coherence in quantum states. Our scheme outperforms other estimation methods based on tomography or adaptive measurements. We show that our method is accessible with today's technology by implementing it experimentally with photons.
  arXiv  Detail & Related papers  (2020-01-06T03:50:42Z)

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.