Coherence-mixedness trade-offs

• URL: http://arxiv.org/abs/2405.14337v1
• Date: Thu, 23 May 2024 09:07:46 GMT
• Title: Coherence-mixedness trade-offs
• Authors: Qing-Hua Zhang, Shao-Ming Fei,
• Abstract summary: 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.
• Score: 2.4940844507983875
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum coherence constitutes a foundational characteristic of quantum mechanics and is integral to emerging quantum resource theories. However, quantum coherence is severely restricted by environmental noise in general quantum processing, indicated by the loss of information of a quantum system. Such processing can be described by the trade-offs between the coherence and the mixedness. Based on the $l_2$ norm coherence, conditional von Neumann entropy and Wigner-Yanase skew information, we derive basis-independent constraints on the attainable quantum coherence imposed by the mixedness of a quantum state, which generalize the prior basis-dependent relations, provide fundamental insights into the latent coherence resources present within arbitrary quantum systems that undergo decoherence and quantify the inherent limits on extractable coherence imposed by environmental noise.

Related papers

• 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)
• Unraveling the Mystery of Quantum Measurement with A New Space-Time Approach to Relativistic Quantum Mechanics [9.116661570248171]
  Quantum measurement is a fundamental concept in the field of quantum mechanics. Despite its significance, four fundamental issues continue to pose significant challenges to the broader application of quantum measurement. We employ a new space-time approach to relativistic quantum mechanics to address these issues systematically.
  arXiv  Detail & Related papers  (2023-06-01T13:25:08Z)
• Coherence requirements for quantum communication from hybrid circuit dynamics [29.004178992441336]
  coherent superposition of quantum states is an important resource for quantum information processing. We determine the coherence requirements to communicate quantum information in a broad setting encompassing monitored quantum dynamics and quantum error correction codes.
  arXiv  Detail & Related papers  (2022-10-20T19:28:32Z)
• Unification of quantum resources in tripartite systems [4.8723490038152635]
  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.
  arXiv  Detail & Related papers  (2022-05-15T11:32:40Z)
• Quantum nonreciprocal interactions via dissipative gauge symmetry [18.218574433422535]
  One-way nonreciprocal interactions between two quantum systems are typically described by a cascaded quantum master equation. We present a new approach for obtaining nonreciprocal quantum interactions that is completely distinct from cascaded quantum systems.
  arXiv  Detail & Related papers  (2022-03-17T15:34:40Z)
• Experimental investigation of quantum uncertainty relations with classical shadows [7.675613458661457]
  We experimentally investigate quantum uncertainty relations construed with relative entropy of coherence. We prepare a family of quantum states whose purity can be fully controlled. Our results indicate the tightness of quantum coherence lower bounds dependents on the reference bases as well as the purity of quantum state.
  arXiv  Detail & Related papers  (2022-02-14T00:26:31Z)
• 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)
• 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)
• Preferred basis, decoherence and a quantum state of the Universe [77.34726150561087]
  We review a number of issues in foundations of quantum theory and quantum cosmology. These issues can be considered as a part of the scientific legacy of H.D. Zeh.
  arXiv  Detail & Related papers  (2020-06-28T18:07:59Z)
• Distribution of quantum coherence and quantum phase transition in the Ising system [2.318473106845779]
  Quantifying quantum coherence of a given system plays an important role in quantum information science. We propose an analysis on the critical behavior of two types Ising systems when distribution of quantum coherence.
  arXiv  Detail & Related papers  (2020-01-29T07:28:04Z)

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.