Quantifying superpositions of quantum evolutions

Superpositions of time evolutions of a quantum system and a quantum time-translation machine.

Typing Quantum Superpositions and Measurement

We study a purely functional quantum extension of lambda calculus, that is, an extension of lambda calculus to express some quantum features, where the quantum memory is abstracted out. This calculus is a typed extension of the first-order linear-algebraic lambda-calculus. The type is linear on superpositions, so to forbid from cloning them, while allows to clone basis vectors. We provide examp...

Discording power of quantum evolutions.

We introduce the discording power of a unitary transformation, which assesses its capability to produce quantum discord, and analyze in detail the generation of discord by relevant classes of two-qubit gates. Our measure is based on the Cartan decomposition of two-qubit unitaries and on evaluating the maximum discord achievable by a unitary upon acting on classical-classical states at fixed pur...

Quantum superpositions of binomial states of light

We introduce new kinds of states of electromagnetic field, which are quantum superpositions of binomial states . They not only exhibit remarkable non-classical properties but can also interpolate between the `Schrodinger cat' type of states and the number states in a particularly interesting way . We basically discuss some of their main statistical properties, as well as schemes for their gener...

The Paraconsistent Logic of Quantum Superpositions

Physical superpositions exist both in classical and in quantum physics. However, what is exactly meant by ‘superposition’ in each case is extremely different. In this paper we discuss some of the multiple interpretations which exist in the literature regarding superpositions in quantum mechanics. We argue that all these interpretations have something in common: they all attempt to avoid ‘contra...