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A transform of complementary aspects with applications to entropic uncertainty relations
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10.1063/1.3477319
/content/aip/journal/jmp/51/8/10.1063/1.3477319
http://aip.metastore.ingenta.com/content/aip/journal/jmp/51/8/10.1063/1.3477319
View: Figures

## Figures

FIG. 1.

Average min-entropy for different sets of MUBs in dimension . The crosses denote numerically computed minima of the average min-entropy for MUBs obtained using our construction. The bound in (37) is clearly tight for both and MUBs. The second analytical bound in (41) is stronger than (37) for bases. The circle denotes the average min-entropy for the invariant states given in (43). For four MUBs in , the minimum of the average min-entropy is indeed attained by states invariant under .

FIG. 2.

Average min-entropy for different sets of MUBs in dimension . The bound in (37) is close to tight for MUBs in dimension . The second analytical bound in (41) is stronger than (37) for bases. The circle denotes the average min-entropy for invariant states constructed in dimension , similar to the states described in (43). For six MUBS in , the minimum of the average min-entropy is nearly attained by states invariant under .

/content/aip/journal/jmp/51/8/10.1063/1.3477319
2010-08-31
2014-04-25

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