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Cited by 63Quantum Information and CryptographyQuantum Mechanics and ApplicationsQuantum Computing Algorithms and Architecture

Entanglement and the lower bounds on the speed of quantum evolution

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Borrás, A., Casas, M., Plastino, A. R., Plastino, A.·2006·Physical Review A
DOI 10.1103/physreva.74.022326
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Abstract

The concept of quantum speed limit-time (QSL) was initially introduced as a lower bound to the time interval that a given initial state ${\ensuremath{\psi}}_{I}$ may need so as to evolve into a state orthogonal to itself. Recently [V. Giovanetti, S. Lloyd, and L. Maccone, Phys. Rev. A 67, 052109 (2003)] this bound has been generalized to the case where ${\ensuremath{\psi}}_{I}$ does not necessarily evolve into an orthogonal state, but into any other ${\ensuremath{\psi}}_{F}$. It was pointed out that, for certain classes of states, quantum entanglement enhances the evolution ``speed'' of composite quantum systems. In this work we provide an exhaustive and systematic QSL study for pure and mixed states belonging to the whole 15-dimensional space of two qubits, with ${\ensuremath{\psi}}_{F}$ a not necessarily orthogonal state to ${\ensuremath{\psi}}_{I}$. We display convincing evidence for a clear correlation between concurrence, on the one hand, and the speed of quantum evolution determined by the action of a rather general local Hamiltonian, on the other one.

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  • 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 [26]

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Authors
Borrás, A., Casas, M., Plastino, A. R., & Plastino, A.
Affiliations
Consejo Superior de Investigaciones Científicas (ES)
ORCID
Casas, M.
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2006-08-28
Volume
74
Issue
2
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.74.022326
OpenAlex
W1973267634
Cited by
63
References
35
Citations by year
2026: 2 · 2025: 3 · 2024: 3 · 2023: 5 · 2022: 4 · 2021: 4 · 2020: 2 · 2019: 3 · 2018: 2 · 2017: 3 · 2016: 6 · 2015: 5 · 2014: 1 · 2013: 3 · 2012: 3
FWCI
4.19
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)
  • arXiv (Cornell University)
Funders
  • Consejo Nacional de Investigaciones Científicas y Técnicas
  • Ministerio de Economía y Competitividad
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 › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
Keywords
quantum speed limit, quantum entanglement, two-qubit systems, concurrence, mixed states, local Hamiltonians, quantum state evolution

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