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Extensions of the M...
Extensions of the Mandelstam-Tamm quantum speed limit to systems in mixed states
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- Hörnedal, Niklas (author)
- Stockholms universitet,Fysikum,Stockholm University; University of Luxembourg, Luxembourg.
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- Allan, Dan (author)
- Stockholms universitet,Fysikum,Stockholm University; University of Luxembourg, Luxembourg.
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- Sönnerborn, Ole (author)
- Stockholms universitet,Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013),Stockholm University,Fysikum,Karlstad University, Sweden
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(creator_code:org_t)
- 2022-05-17
- 2022
- English.
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In: New Journal of Physics. - : Institute of Physics Publishing (IOPP). - 1367-2630. ; 24:5
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Abstract
Subject headings
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- The Mandelstam-Tamm quantum speed limit (QSL) puts a bound on how fast a closed system in a pure state can evolve. In this paper, we derive several extensions of this QSL to closed systems in mixed states. We also compare the strengths of these extensions and examine their tightness. The most widely used extension of the Mandelstam-Tamm QSL originates in Uhlmann's energy dispersion estimate. We carefully analyze the underlying geometry of this estimate, an analysis that makes apparent that the Bures metric, or equivalently the quantum Fisher information, will rarely give rise to tight extensions. This observation leads us to address whether there is a tightest general extension of the Mandelstam-Tamm QSL. Using a geometric construction similar to that developed by Uhlmann, we prove that this is indeed the case. In addition, we show that tight evolutions of mixed states are typically generated by time-varying Hamiltonians, which contrasts with the case for systems in pure states.
Subject headings
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
Keyword
- quantum speed limit
- time-energy uncertainty relation
- skew-information
- Uhlmann energy dispersion estimate quantum Fisher information
- quantum information
- Physics
- Fysik
Publication and Content Type
- ref (subject category)
- art (subject category)
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