A proper subsystem of ${\rm S}4.{\rm O}4.$.

Poly[(μ4-biphenyl-2,4′-dicarboxyl­ato-κ5O2:O2′:O4:O4,O4′)zinc]

The crystal structure of the polymeric title complex, [Zn(C(14)H(8)O(4))](n), is composed of layers parallel to (110) formed by linking of Zn-carboxyl-ate chains with biphenyl units of the biphenyl-2,4'-dicarboxyl-ate (bpdc) ligands. The Zn(II) atom is five-coordinated in a distorted square-pyramidal geometry by five O atoms from four bpdc ligands. The dihedral angle between the benzene rings i...

A RM-Polar Codes

Introduction: Polar codes are a major breakthrough in coding theory [1]. They can achieve Shannon capacity with a simple encoder and a simple successive cancellation (SC) decoder, both with low complexity of the order of ( ) N N log O , where N is the code block size. But for short and moderate lengths, the error rate performance of polar codes with the SC decoding is not as good as LDPC or tur...

O4- Multipliers of Talent Development

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Average entropy of a subsystem.

If a quantum system of Hilbert space dimension mn is in a random pure state, the average entropy of a subsystem of dimension m ≤ n is conjectured to be S m,n = mn k=n+1 1 k − m−1 2n and is shown to be ≃ ln m − m 2n for 1 ≪ m ≤ n. Thus there is less than one-half unit of information, on average, in the smaller subsystem of a total system in a random pure state.

Topological superconductor in quasi-one-dimensional ${\rm Tl}_{2-x}{\rm Mo}_6{\rm Se}_6$