Quantum state purification is crucial in quantum communication and computation, aiming to
recover a purified state from multiple copies of an unknown noisy state. This work introduces …

In quantum learning tasks, quantum memory can offer exponential reductions in statistical
complexity compared to any single-copy strategies, but this typically necessitates at least …

Reducing the effect of errors is essential for reliable quantum computation. Quantum error
mitigation (QEM) and quantum error correction (QEC) are two frameworks that have been …

Fighting against noise is crucial for NISQ devices to demonstrate practical quantum
applications. In this work, we give a new paradigm of quantum error mitigation based on the …

Error mitigation techniques, while instrumental in extending the capabilities of near-term
quantum computers, often suffer from exponential resource scaling with noise levels. To …

The quantum no-broadcasting theorem states that it is fundamentally impossible to perfectly
replicate an arbitrary quantum state, even if correlations between the copies are allowed …

Precise quantum expectation values are crucial for quantum algorithm development, but
noise in real-world systems can degrade these estimations. While quantum error correction …