# Quantum Inflation: A General Approach to Quantum Causal Compatibility

arXiv: https://arxiv.org/abs/1909.10519 · HTML: https://mlsanity.com/paper/1909.10519/

## Key facts

- Cited by 4 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Sep 2019.

## Built on by (most cited first, 4 of 4)

- [Causal inference with imperfect instrumental variables](https://mlsanity.com/paper/2111.03029/) (2021)
- [Everything that can be learned about a causal structure with latent variables by observational and interventional probing schemes](https://mlsanity.com/paper/2407.01686/) (2024)
- [On the physics of nested Markov models: a generalized probabilistic theory perspective](https://mlsanity.com/paper/2411.11614/) (2024)
- [Symmetric observations without symmetric causal explanations](https://mlsanity.com/paper/2502.14950/) (2025)

## Abstract (arXiv)

Causality is a seminal concept in science: Any research discipline, from sociology and medicine to physics and chemistry, aims at understanding the causes that could explain the correlations observed among some measured variables. While several methods exist to characterize classical causal models, no general construction is known for the quantum case. In this work, we present quantum inflation, a systematic technique to falsify if a given quantum causal model is compatible with some observed correlations. We demonstrate the power of the technique by reproducing known results and solving open problems for some paradigmatic examples of causal networks. Our results may find applications in many fields: from the characterization of correlations in quantum networks to the study of quantum effects in thermodynamic and biological processes.