Abstract.
We study quantum state estimation problems where the reference system with respect to which the state is measured should itself be treated quantum mechanically. In this situation, the difference between the system and the reference tends to fade. We investigate how the overlap between two pure quantum states can be optimally estimated, in several scenarios, and we re-visit homodyne detection. uantum information
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Gisin, N., Iblisdir, S. Quantum relative states. Eur. Phys. J. D 39, 321–327 (2006). https://doi.org/10.1140/epjd/e2006-00097-y
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DOI: https://doi.org/10.1140/epjd/e2006-00097-y