most citedTowards a Computational Quantum Logic: An Overview of an Ongoing Research Program

2 citations · 2 across the 2 of their papers we have counts for

collaborators

8 papers

cs.LO2025

Basis-Sensitive Quantum Typing via Realisability

Alejandro Díaz-Caro, Octavio Malherbe, Rafael Romero

We present , a quantum-control -calculus that refines previous basis-sensitive systems by allowing abstractions to be expressed with respect to arbitrary -- possibly entang…

quant-ph2025

Proceedings of the 22nd International Conference on Quantum Physics and Logic

Alejandro Díaz-Caro, Ognyan Oreshkov, Ana Belén Sainz

This volume contains the proceedings of the 22nd International Conference on Quantum Physics and Logic (QPL 2025), which was held from 14th to 18th July 2025, in Varna, Bulgaria, o…

cs.LO2025

A Quantum-Control Lambda-Calculus with Multiple Measurement Bases

Alejandro Díaz-Caro, Nicolas A. Monzon

We introduce Lambda-SX, a typed quantum lambda-calculus that supports multiple measurement bases. By tracking duplicability relative to arbitrary bases within the type system, Lamb…

cs.LO2025

IMALL with a Mixed-State Modality: A Logical Approach to Quantum Computation

Kinnari Dave, Alejandro Díaz-Caro, Vladimir Zamdzhiev

We introduce a proof language for Intuitionistic Multiplicative Additive Linear Logic (IMALL), extended with a modality B to capture mixed-state quantum computation. The language s…

cs.LO20252 cited

Towards a Computational Quantum Logic: An Overview of an Ongoing Research Program

Alejandro Díaz-Caro

This invited paper presents an overview of an ongoing research program aimed at extending the Curry-Howard-Lambek correspondence to quantum computation. We explore two key framewor…

cs.LO2025

Expectation-based Analysis of Higher-Order Quantum Programs

Martin Avanzini, Alejandro Díaz-Caro, Emmanuel Hainry +1

The paper extends the expectation transformer based analysis of higher-order probabilistic programs to the quantum higher-order setting. The quantum language we are considering can…