Tighter sum uncertainty relations based on metric-adjusted skew information

Ren, Ruonan; Li, Ping; Ye, Mingfei; Li, Yongming

doi:10.1103/physreva.104.052414

Cited by 22 publications

(24 citation statements)

References 39 publications

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“…The above results are suitable to Wigner-Yanase-Dyson skew information and Wigner-Yanase skew information. We also give some examples and compare the lower bounds obtained by us with the lower bounds in [40]. This shows that our results are more accurate than the ones in [40].…”

Section: Introductionmentioning

confidence: 57%

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Tighter sum uncertainty relations via metric-adjusted skew information

Li¹,

Gao²,

Yan³

2022

Preprint

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We investigate the sum uncertainty relations based on metric-adjusted skew information. By means of the norm property, we propose new uncertainty relations for arbitrary finite n observables and arbitrary finite N quantum channels via metric-adjusted skew information. Since Wigner-Yanase-Dyson skew information and Wigner-Yanase skew information are two special kinds of metric-adjusted skew information, our results are applicable to the above two special cases. The uncertainty relations obtained by us are tighter than the existing ones. Detailed examples are given.

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Section: Introductionmentioning

confidence: 57%

“…Ones studied the uncertainty relations in terms of Wigner-Yanase skew information for arbitrary finite N quantum channels [37,38]. Recently, some scholars generalized the uncertainty inequalities to metric-adjusted skew information for arbitrary finite N quantum channels [39,40].…”

Section: Introductionmentioning

confidence: 99%

Tighter sum uncertainty relations via metric-adjusted skew information

Li¹,

Gao²,

Yan³

2022

Preprint

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“…In Ref. [23], based on different norm inequality Ren et al presented another uncertainty relation for N quantum observables,…”

Section: Uncertainty Relations For Quantum Observablesmentioning

confidence: 99%

“…In Ref. [23], Ren et al established tighter uncertainty relations of metric-adjusted skew information for N quantum channels shown as following:…”

Section: Uncertainty Relations For Quantum Channelsmentioning

confidence: 99%

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A note on uncertainty relations of metric-adjusted skew information

Zhang,

Wu,

et al. 2022

Preprint

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The uncertainty principle is one of the fundamental features of quantum mechanics and plays a vital role in quantum information processing. We study uncertainty relations based on metricadjusted skew information for finite quantum observables. Motivated by the paper [Physical Review A 104, 052414 (2021)], we establish tighter uncertainty relations in terms of different norm inequalities. Naturally, we generalize the method to uncertainty relations of metric-adjusted skew information for quantum channels and unitary operators. As both the Wigner-Yanase-Dyson skew information and the quantum Fisher information are the special cases of the metric-adjusted skew information corresponding to different Morozova-Chentsov functions, our results generalize some existing uncertainty relations. Detailed examples are given to illustrate the advantages of our methods.

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Coherence of Quantum States Based on Mutually Unbiased Bases in $$\mathbb {C}^4$$

2022

Communications in Computer and Information Science

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Tighter sum uncertainty relations based on metric-adjusted skew information

Cited by 22 publications

References 39 publications

Tighter sum uncertainty relations via metric-adjusted skew information

Tighter sum uncertainty relations via metric-adjusted skew information

A note on uncertainty relations of metric-adjusted skew information

Coherence of Quantum States Based on Mutually Unbiased Bases in $$\mathbb {C}^4$$

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