Toward the Goldilocks Blind Compression of Quantum States
This work investigates Quantum Autoencoders (QAEs) to compress quantum data into a low-dimensional state while preserving information for reconstruction, aiming for an optimal fidelity under average infidelity loss. The research proves that for any distribution of pure n-qubit states, a QAE exists with exactly k encoder and n decoder ancillas that achieves the theoretical optimum. This identifies a 'Goldilocks regime' between narrow and overly complex architectures.