dorsal/arxiv
View SchemaEntanglement and the Lower Bounds on the Speed of Quantum Evolution
| Authors | A. Borrás, M. Casas, A. R. Plastino, A. Plastino |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608249 |
| URL | https://arxiv.org/abs/quant-ph/0608249 |
| DOI | 10.1103/PhysRevA.74.022326 |
| Journal | Physical Review A 74, 022326 (2006) |
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 $\psi_I$ may need so as to evolve into a state orthogonal to itself. Recently [V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. A {\bf 67}, 052109 (2003)] this bound has been generalized to the case where $\psi_I$ does not necessarily evolve into an orthogonal state, but into any other $\psi_F$. 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 $\psi_F$ a not necessarily orthogonal state to $\psi_I$. 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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"abstract": "The concept of quantum speed limit-time (QSL) was initially introduced as a\nlower bound to the time interval that a given initial state $\\psi_I$ may need\nso as to evolve into a state orthogonal to itself. Recently [V. Giovannetti, S.\nLloyd, and L. Maccone, Phys. Rev. A {\\bf 67}, 052109 (2003)] this bound has\nbeen generalized to the case where $\\psi_I$ does not necessarily evolve into an\northogonal state, but into any other $\\psi_F$. It was pointed out that, for\ncertain classes of states, quantum entanglement enhances the evolution \"speed\"\nof composite quantum systems. In this work we provide an exhaustive and\nsystematic QSL study for pure and mixed states belonging to the whole\n15-dimensional space of two qubits, with $\\psi_F$ a not necessarily orthogonal\nstate to $\\psi_I$. We display convincing evidence for a clear correlation\nbetween concurrence, on the one hand, and the speed of quantum evolution\ndetermined by the action of a rather general local Hamiltonian, on the other\none.",
"arxiv_id": "quant-ph/0608249",
"authors": [
"A. Borr\u00e1s",
"M. Casas",
"A. R. Plastino",
"A. Plastino"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.022326",
"journal_ref": "Physical Review A 74, 022326 (2006)",
"title": "Entanglement and the Lower Bounds on the Speed of Quantum Evolution",
"url": "https://arxiv.org/abs/quant-ph/0608249"
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