CVaR tail averaging over Virtual Channel Purification outputs is proven to bound noiseless expectation values and to improve with purification order, under Pauli noise and diagonal observables.
Provable bounds for noise-free expectation values computed from noisy samples,
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Enhancing Quantum Expectation Values via Exponential Error Suppression and CVaR Optimization
CVaR tail averaging over Virtual Channel Purification outputs is proven to bound noiseless expectation values and to improve with purification order, under Pauli noise and diagonal observables.