Quantum speed limit based on the bound of Bures angle

Wu, Shunan; Yu, Chang-shui

doi:10.1038/s41598-020-62409-w

Cited by 15 publications

(8 citation statements)

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“…Several bounds on the speed of state transfer have been derived in open systems, for example based on Fisher information [32], on relative purity [33] and on the Bures distance [34,35]. To find the quantum speed for evolution from a pure initial state ρ0=|ψfalse(0false)falsefalse⟩falsefalse⟨ψfalse(0false)| at t=0 to a mixed state ρτ at t=τ, we use the bounds derived in [34], TnormalQSL=sin2⁡false(dnormalBfalse(ρ0,ρτfalse)false)λτop,where dnormalBfalse(ρ0,ρτfalse)=arccos⁡false(F(ρτ,ρ0)false) is the Bures distance and Ffalse(ρτ,ρ0false)=false(trρ0ρτρ0<...…”

Section: Resultsmentioning

confidence: 99%

Section: Experimental Results (A) Stirap Versus Sastirapmentioning

confidence: 99%

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Experimental demonstration of robustness under scaling errors for superadiabatic population transfer in a superconducting circuit

Dogra

Vepsäläinen

Paraoanu

2022

Phil. Trans. R. Soc. A.

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We study experimentally and theoretically the transfer of population between the ground state and the second excited state in a transmon circuit by the use of superadiabatic stimulated Raman adiabatic passage (saSTIRAP). We show that the transfer is remarkably resilient against variations in the amplitudes of the pulses (scaling errors), thus demostrating that the superadiabatic process inherits certain robustness features from the adiabatic one. In particular, we provide new evidence of a plateau that appears at high values of the counterdiabatic pulse strength, which goes beyond the usual framework of saSTIRAP. This article is part of the theme issue ‘Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives’.

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Section: Resultsmentioning

confidence: 99%

Section: Experimental Results (A) Stirap Versus Sastirapmentioning

confidence: 99%

Experimental demonstration of robustness under scaling errors for superadiabatic population transfer in a superconducting circuit

Dogra

Vepsäläinen

Paraoanu

2022

Phil. Trans. R. Soc. A.

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“…Benefiting from a wide variety of metrics, such as trace distance, Bures angle, relative purity, just to name a few [37][38][39][40], a great many excellent researches have successfully generalized the MT and ML types bounds [18,[41][42][43][44][45][46]. Furthermore, tight QSL bounds can be obtained via the distance between generalized Bloch vectors in both unitary and nonunitary processes [47,48].…”

Section: Introductionmentioning

confidence: 99%

Geometric quantum speed limits for Markovian dynamics in open quantum systems

Lan

Xie

2022

New J. Phys.

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We study theoretically the geometric quantum speed limits (QSLs) of open quantum systems under Markovian dynamical evolution. Three types of QSL time bounds are introduced based on the geometric inequality associated with the dynamical evolution from an initial state to a final state. By illustrating three types of QSL bounds at the cases of presence or absence of system driving, we demonstrate that the unitary part, dominated by system Hamiltonian, supplies the internal motivation for a Markovian evolution which deviates from its geodesic. Specifically, in the case of unsaturated QSL bounds, the parameters of the system Hamiltonian serve as the eigen-frequency of the oscillations of geodesic distance in the time domain and, on the other hand, drive a further evolution of an open quantum system in a given time period due to its significant contribution in dynamical speedup. We present physical pictures of both saturated and unsaturated QSLs of Markovian dynamics by means of the dynamical evolution trajectories in the Bloch sphere which demonstrates the significant role of system Hamiltonian even in the case of initial mixed states. It is further indicated that whether the QSL bound is saturated is ruled by the coummutator between the Hamiltonian and reduced density matrix of the quantum system. Our study provides a detailed description of QSL times and reveals the effects of system Hamiltonian on the unsaturation of QSL bounds under Markovian evolution.

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“…Quantum speed limits (QSL) or quantum limit of evolution time reviewed in Ref. [28] can be studied form various context-dependent perspectives [7,21,27,30,34,55]: quantum control, quantum information or metrology. There were various motivations diving these investigations.…”

Section: Introductionmentioning

confidence: 99%

Geometric speed limit of neutrino oscillation

Khan

Dajka

2021

Quantum Inf Process

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We investigate geometric quantum speed limit of neutrino oscillations in a presence of matter and CP-violation. We show that periodicity in the speed limit present in an unperturbed system becomes damped by interaction with a normal matter and decoherence. We also show that (hypothetical) CP-violation causes enhancement of periodicity and increases amplitude of an oscillating quantum speed limit and can quantify CP-violation.

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Quantum speed limit based on the bound of Bures angle

Cited by 15 publications

References 48 publications

Experimental demonstration of robustness under scaling errors for superadiabatic population transfer in a superconducting circuit

Experimental demonstration of robustness under scaling errors for superadiabatic population transfer in a superconducting circuit

Geometric quantum speed limits for Markovian dynamics in open quantum systems

Geometric speed limit of neutrino oscillation

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