Unitarily inequivalent mutually unbiased bases for n qubits

被引：4

作者：

Sehrawat, Arun ^{[1
]}

Klimov, Andrei B. ^{[1
]}

机构：

[1] Univ Guadalajara, Dept Fis, Guadalajara 44430, Jalisco, Mexico

来源：

PHYSICAL REVIEW A | 2014年 / 90卷 / 06期

关键词：

STATE DETERMINATION; GEOMETRY;

D O I：

10.1103/PhysRevA.90.062308

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The standard construction of complete sets of mutually unbiased bases (MUBs) in prime power dimensions is based on the quadratic Gauss sums. We introduce complete MUB sets for three, four, and five qubits that are unitarily inequivalent to all existing MUB sets. These sets are constructed by using certain exponential sums, where the degree of the polynomial appearing in the exponent can be higher than 2. Every basis of these MUBs (except the computational) consists of two disjoint blocks of vectors with different factorization structures and associated with a unique hypergraph (or graph) that represents an interaction between the qubits.

引用

页数：8

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