As suggested by @PiotrMigdal I am putting a separate question regarding the title mentioned above.
I am a Mathematics PhD student doing work in functional analysis / operator theory aspects of quantum information. My basic training (up to masters) is in so called 'Pure Mathematics' ($C^*$ algebra, representation theory, elliptic curve etc.). I am about to complete my PhD and applying for post doctoral positions. It seems most of the jobs in this area are for experimentalists and a few for theorists. I do not have much knowledge about experiment. Moreover, my understanding about quantum measurements as very basic. These can be considered as negative points. Positive sides: I have a few published papers in some reputed physics journal, a few (in discrete mathematics) preprints, and a few works in the draft stage. However the published papers are not reviewed by math. review.
My question is, what a mathematics student, like me, should focus/emphasise if he/she go for a job (for me post doctoral) interview in front of physics faculties.
Also more general question can be regarding the job perspective of mathematics students in quantum information. Advanced thanks for any suggestion, answer etc. Feel free to edit and/or retag it, if you think it is necessary.