A logical analysis of entanglement and separability in quantum higher-order functions

Abstract

We present a logical separability analysis for a functional quantum computation language. This logic is inspired by previous works on logical analysis of aliasing for imperative functional programs. Both analyses share similarities notably because they are highly non-compositional. Quantum setting is harder to deal with since it introduces non determinism and thus considerably modifies semantics and validity of logical assertions. This logic is the first proposal of entanglement/separability analysis dealing with a functional quantum programming language with higher-order functions.