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Cited by 75Quantum Information and CryptographyQuantum Mechanics and ApplicationsQuantum many-body systems

Connection between entanglement and the speed of quantum evolution

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Batle, J., Casas, M., Plastino, A., Plastino, A. R.·2005·Physical Review A
DOI 10.1103/physreva.72.032337
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Abstract

It has been recently pointed out [V. Giovannetti, S. Lloyd, and L. Maccone, Europhys. Lett. 62, 615 (2003)] that, for certain classes of states, quantum entanglement enhances the ``speed'' of evolution of composite quantum systems, as measured by the time a given initial state requires to evolve to an orthogonal state. We provide here a systematic study of this effect for pure states of bipartite systems of low dimensionality, considering both distinguishable (two-qubits) subsystems, and systems constituted of two indistinguishable particles.

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Crossref · 10.1103/physreva.72.032337

Cites

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  • The connection of the Fisher information to entanglement is more intimate than the relation between the Hamiltonian standard deviation and the entanglement of the state.

    “since the connection of the Fisher information to entanglement is much more intimate than the relation between (∆ H ) ρ and the entanglement of ρ [7, 17, 18].”

    From Kind of entanglement that speeds up quantum evolution (2012) · cites this paper as [7]

  • For unitary processes, entanglement is a resource that enhances the speed of evolution, so that the separation time improves from τ ∼ 1/√N (separable, slow state) to τ ∼ 1/N (entangled, fast state).

    “It has already been seen in the literature [22-26] that, for unitary processes, entanglement is a resource that enhances the speed of evolution, so that the separation time improves from a τ ∼ 1 / √ N scaling (separable, slow state) to τ ∼ 1 /N (entangled, fast state).”

    From Quantum Speed Limit for Physical Processes (2013) · cites this paper as [25]

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Cites

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Research works printed but not linked: 2

  1. [7]C. P. Williams (Ed.), Quantum Computing and Quantum Communications (Springer, Berlin, 1998).
  2. [13]K. Eckert, J. Schliemann, D. Brub, and M. Lewenstein, Annals of Physics NY 299 , 88 (2002).

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Related

Authors
Batle, J., Casas, M., Plastino, A., & Plastino, A. R.
Affiliations
Consejo Superior de Investigaciones Científicas (ES)
ORCID
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2005-09-29
Volume
72
Issue
3
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.72.032337
OpenAlex
W2041376313
Cited by
75
References
19
Citations by year
2026: 3 · 2025: 5 · 2024: 5 · 2023: 6 · 2022: 3 · 2021: 7 · 2020: 3 · 2019: 3 · 2018: 5 · 2017: 4 · 2016: 6 · 2015: 5 · 2014: 1 · 2013: 3 · 2012: 2
FWCI
3.52
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review A (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • DIGITAL.CSIC (Spanish National Research Council (CSIC)) (submittedVersion, other-oa)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
Keywords
quantum entanglement, quantum speed limit, bipartite systems, two-qubit systems, identical particles, pure states, orthogonal states, composite quantum systems

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