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Quantum Circuit Tensors and Enumerators with Applications to Quantum Fault Tolerance

Quantum Circuit Tensors and Enumerators with Applications to Quantum Fault Tolerance

We extend the recently introduced notion of tensor enumerator to the circuit enumerator. We provide a mathematical framework that offers a novel method for analyzing circuits and error models without resorting to Monte Carlo techniques. We introduce an analogue of the Poisson summation formula for stabilizer codes, facilitating a method …