Do Bilingual infants have better memory?

Does bilingualism make us more attentive, more flexible, more immune to cognitive problems later in life? If so, how could bilingual experience produce such an advantage? One theory links the bilingual advantage to early childhood and the need to discriminate between the sounds of two languages and to detect two sets of patterns, instead of one, within the stream of speech (on how bilingual infants go about this, see here). This experience may make bilingual babies better language learners, more attentive to language structures and more flexible in assigning meanings to words but does it also make them smarter? Do they, for instance, develop better memory?
Www.psychologytoday.com/blog/life-bilingual/201511/do-bilingual-infants-have-better-memory