2021
DOI: 10.1007/s11128-020-02972-3
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The uncertainty of quantum channels in terms of variance

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Cited by 25 publications
(38 citation statements)
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“…There are also many ways to describe uncertainty relations, such as entropy [3][4][5][6][7], variance [8][9][10][11] and majorization techniques [12][13][14][15]. In particular, the quantum uncertainty can also be characterized by skew information.…”
Section: Introductionmentioning
confidence: 99%
“…There are also many ways to describe uncertainty relations, such as entropy [3][4][5][6][7], variance [8][9][10][11] and majorization techniques [12][13][14][15]. In particular, the quantum uncertainty can also be characterized by skew information.…”
Section: Introductionmentioning
confidence: 99%
“…where [A, B] = AB − BA and ∆Ω = ψ|Ω 2 |ψ − ψ|Ω|ψ 2 is the standard deviation of an observable Ω. Many different characterizations and quantifications of quantum uncertainty have been proposed in terms of entropy [3][4][5][6][7][8][9][10][11], variance [12][13][14][15], under successive measurements [16][17][18][19], and with majorization techniques [9,[20][21][22].…”
Section: Introductionmentioning
confidence: 99%
“…In addition, Dou and Du [7,8] have proposed a Heisenberg-type uncertainty relation and a Schrödinger-type uncertainty relation based on the modified variance. Sun and Li [9] have proposed the total uncertainty of quantum channels in terms of the modified variance.…”
Section: Introductionmentioning
confidence: 99%
“…We give an extension of the trade-off relation between the total uncertainty of quantum channels and the entanglement fidelity. By recalling two important information quantities, the entropy exchange [51] and coherent information [52], we also generalize the relations between the total uncertainty of quantum channels and the entropy exchange/coherent information introduced in [9] to a more general case.…”
Section: Introductionmentioning
confidence: 99%