Conjectured Strong Complementary Information Tradeoff
Conjectured Strong Complementary Information Tradeoff
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DOI：
10.1103/physrevlett.103.020402
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发表时间：
2009-07-10
影响因子：
8.6
通讯作者：
Boileau, Jean-Christian
中科院分区：
文献类型：
--
作者：
Renes, Joseph M.;Boileau, Jean-Christian
我们猜想一个新的熵不确定性原理，该原理控制在以量子态形式给出边信息的系统上进行的互补观测的熵，推广了Maassen和Uffink的熵不确定性关系[Phys. Rev. Lett. 60，1103（1988）]。我们通过采用Christandl和Winter关于量子信道的类似结果[IEEE Trans.Inf.Theory 51，3159（2005）]，证明了某些共轭可观测量的特殊情况，并讨论了该结果在量子系统解耦和量子密码学安全分析中的可能应用。
We conjecture a new entropic uncertainty principle governing the entropy of complementary observations made on a system given side information in the form of quantum states, generalizing the entropic uncertainty relation of Maassen and Uffink [Phys. Rev. Lett. 60, 1103 (1988)]. We prove a special case for certain conjugate observables by adapting a similar result found by Christandl and Winter pertaining to quantum channels [IEEE Trans. Inf. Theory 51, 3159 (2005)], and discuss possible applications of this result to the decoupling of quantum systems and for security analysis in quantum cryptography.