Locally unitary quantum state evolution is local

• URL: http://arxiv.org/abs/2402.03088v1
• Date: Mon, 5 Feb 2024 15:17:04 GMT
• Title: Locally unitary quantum state evolution is local
• Authors: Matias Heikkil\"a
• Abstract summary: We study the localization properties of bipartite channels, whose action on a subsystem yields a unitary channel. A no-go theorem for non classical conditional semantics in quantum computation is obtained as an intermediate result.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the localization properties of bipartite channels, whose action on a subsystem yields a unitary channel. In particular we show that, under such channel, the subsystem must evolve independent of its environment. This point of view is another way to verify certain well-known conservation laws of quantum information in a generalized way. A no-go theorem for non classical conditional semantics in quantum computation is obtained as an intermediate result.

Related papers

• Local Purity Distillation in Quantum Systems: Exploring the Complementarity Between Purity and Entanglement [41.94295877935867]
  We introduce and develop the framework of Gibbs-preserving local operations and classical communication. We focus on systems with fully degenerate local Hamiltonians, where local cooling aligns with the extraction of local purity. Our findings open doors to various practical applications, including techniques for entanglement detection and estimation.
  arXiv  Detail & Related papers  (2023-11-20T14:58:31Z)
• Weyl channels for multipartite systems [42.37986459997699]
  Quantum channels describe unitary and non-unitary evolution of quantum systems. We show that these channels are completely characterized by elements drawn of finite cyclic groups.
  arXiv  Detail & Related papers  (2023-10-17T02:45:47Z)
• Normal quantum channels and Markovian correlated two-qubit quantum errors [77.34726150561087]
  We study general normally'' distributed random unitary transformations. On the one hand, a normal distribution induces a unital quantum channel. On the other hand, the diffusive random walk defines a unital quantum process.
  arXiv  Detail & Related papers  (2023-07-25T15:33:28Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Classical and quantum parts of conditional mutual information for open quantum systems [1.52292571922932]
  We study the classical, classical-quantum, and quantum parts of conditional mutual information in the system-environment-ancilla'' setting of open quantum systems.
  arXiv  Detail & Related papers  (2022-06-22T01:49:06Z)
• Faithfulness and sensitivity for ancilla-assisted process tomography [0.0]
  A system-ancilla bipartite state capable of containing the complete information of an unknown quantum channel acting on the system is called faithful. We complete the proof of the equivalence and introduce the generalization of faithfulness to various classes of quantum channels.
  arXiv  Detail & Related papers  (2022-06-13T04:19:22Z)
• From no-signalling to quantum states [0.0]
  Characterising quantum correlations from physical principles is a central problem in the field of quantum information theory. We suggest a natural generalisation of no-signalling in the form of no-disturbance to dilated systems.
  arXiv  Detail & Related papers  (2022-04-25T07:06:17Z)
• Localizable quantum coherence [0.0]
  Coherence is a fundamental notion in quantum mechanics, defined relative to a reference basis. We put forward a notion of localizable coherence as the coherence that can be stored in a particular subsystem. We show that it can be applied to reveal the real-space structure of states of interest in quantum many-body theory.
  arXiv  Detail & Related papers  (2020-05-06T17:44:05Z)
• Quantum Mechanical description of Bell's experiment assumes Locality [91.3755431537592]
  Bell's experiment description assumes the (Quantum Mechanics-language equivalent of the classical) condition of Locality. This result is complementary to a recently published one demonstrating that non-Locality is necessary to describe said experiment. It is concluded that, within the framework of Quantum Mechanics, there is absolutely no reason to believe in the existence of non-Local effects.
  arXiv  Detail & Related papers  (2020-02-27T15:04:08Z)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)
• Emergent classicality in general multipartite states and channels [0.0]
  In a quantum measurement process, classical information about the measured system spreads throughout the environment. Meanwhile, quantum information about the system becomes inaccessible to local observers. We prove a result about quantum channels indicating that an aspect of this phenomenon is completely general.
  arXiv  Detail & Related papers  (2020-01-06T11:55:20Z)

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.