Hölder absolute values are equivalent to classical ones

How much larger quantum correlations are than classical ones

Considering as distance between two two-party correlations the minimum number of half bits required to be transmitted from one party to the other in order to turn one correlation into the other, we show that the volume of the set of physically obtainable correlations 〈AiBj〉 in the EPR-Bell scenario, where A0 and A1 (B0 and B1) are two alternative dichotomic experiments on subsystem A (on a dist...

All Classical Adversary Methods are Equivalent for Total Functions

We show that all known classical adversary lower bounds on randomized query complexity are equivalent for total functions, and are equal to the fractional block sensitivity fbs(f). That includes the Kolmogorov complexity bound of Laplante and Magniez and the earlier relational adversary bound of Aaronson. For partial functions, we show unbounded separations between fbs(f) and other adversary bo...

How to Compare the Absolute Values of Operator Sums and the Sums of Absolute Values?

We address the problem of comparing |A+B| and |A|+ |B| , for A,B ∈Mn(C) . Some results are obtained by using a technique of positive linear maps and several open questions are proposed. Mathematics subject classification (2010): Primary 15A60, 47A30, 47A60.

Speech Quality of Heterogeneous Networks Involving VoIP: Are Time Varying Impairments Additive to Classical Stationary Ones?

This paper describes a series of four conversation tests, which were carried out in order to assess speech quality under degradations occurring in combined PSTN/ISDN/VoIP networks. Based on the test results, the validity of predictions by the model currently recommended by the ITU-T for network planning (the E-model, [1]) is discussed.

Asymptotic Hölder Absolute Values