| 000 | 03569nam a22005775i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-74179-1 | ||
| 003 | DE-He213 | ||
| 005 | 20251030114937.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 250201s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031741791 _9978-3-031-74179-1 |
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| 024 | 7 |
_a10.1007/978-3-031-74179-1 _2doi |
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| 050 | 4 | _aQC173.96-174.52 | |
| 072 | 7 |
_aPHQ _2bicssc |
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| 072 | 7 |
_aSCI057000 _2bisacsh |
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| 072 | 7 |
_aPHQ _2thema |
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| 100 | 1 |
_aCarabba, Nicoletta. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _990624 |
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| 245 | 1 | 0 |
_aQuantum Speed Limits to Operator Growth _h[electronic resource] / _cby Nicoletta Carabba. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Springer, _c2024. |
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| 300 |
_aXV, 137 p. 9 illus., 6 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5061 |
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| 505 | 0 | _aChapter 1.Introduction -- Chapter 2.Operator growth in Krylov space -- Chapter 3.Dispersion bound on Krylov complexity -- Chapter 4.A brief history of quantum speed limits in isolated systems -- Chapter 5.QSLs on operator flows -- Chapter 6. QSLs on correlation functions -- Chapter 7.A geometric operator quantum speed limit -- Chapter 8.Conclusions. | |
| 520 | _aThis book introduces universal bounds to quantum unitary dynamics, with applications ranging from condensed matter models to quantum metrology and computation. Motivated by the observation that the dynamics of many-body systems can be better unraveled in the Heisenberg picture, we focus on the unitary evolution of quantum observables, a process known as operator growth and quantified by the Krylov complexity. By means of a generalized uncertainty relation, we constrain the complexity growth through a universal speed limit named the dispersion bound, investigating also its relation with quantum chaos. Furthermore, the book extends the framework of quantum speed limits (QSLs) to operator flows, identifying new fundamental timescales of physical processes. Crucially, the dynamics of operator complexity attains the QSL whenever the dispersion bound is saturated. Our results provide computable constraints on the linear response of many-body systems out of equilibrium and the quantum Fisher information governing the precision of quantum measurements. | ||
| 650 | 0 |
_aQuantum physics. _966608 |
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| 650 | 0 |
_aSystem theory. _966519 |
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| 650 | 0 | _aDynamical systems. | |
| 650 | 0 |
_aQuantum electrodynamics. _970514 |
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| 650 | 1 | 4 |
_aQuantum Physics. _966608 |
| 650 | 2 | 4 |
_aQuantum Measurement and Metrology. _967415 |
| 650 | 2 | 4 |
_aComplex Systems. _966520 |
| 650 | 2 | 4 | _aDynamical Systems. |
| 650 | 2 | 4 |
_aQuantum Electrodynamics, Relativistic and Many-body Calculations. _970517 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031741784 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031741807 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031741814 |
| 830 | 0 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5061 _966370 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-74179-1 |
| 912 | _aZDB-2-PHA | ||
| 912 | _aZDB-2-SXP | ||
| 999 |
_c66608 _d66608 |
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