The paper introduces an abstract-interpretation framework with interval domains for formally verifying robustness of variational quantum circuit classifiers, and reports certified perturbation bounds on Iris and MNIST.
Analysis of Quantum Entanglement in Quantum Programs using Stabilizer Formalism
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abstract
Quantum entanglement plays an important role in quantum computation and communication. It is necessary for many protocols and computations, but causes unexpected disturbance of computational states. Hence, static analysis of quantum entanglement in quantum programs is necessary. Several papers studied the problem. They decided qubits were entangled if multiple qubits unitary gates are applied to them, and some refined this reasoning using information about the state of each separated qubit. However, they do not care about the fact that unitary gate undoes entanglement and that measurement may separate multiple qubits. In this paper, we extend prior work using stabilizer formalism. It refines reasoning about separability of quantum variables in quantum programs.
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Formal Verification of Variational Quantum Circuits
The paper introduces an abstract-interpretation framework with interval domains for formally verifying robustness of variational quantum circuit classifiers, and reports certified perturbation bounds on Iris and MNIST.