How long does it take to implement a projective measurement?

نویسندگان

چکیده

According to the Schr\"odinger equation, a closed quantum system evolves continuously in time. If it is subject measurement however, its state changes randomly and discontinuously, which mathematically described by projection postulate. But how long does take for this discontinuous change occur? Based on simple estimates, whose validity rests solely fact that all fundamental forces nature are finite-ranged, we show implementation of requires minimum This time scales proportionally with diameter mechanical object, measured observable acts non-trivially, proportionality constant being around $10^{-5}$ s/m. We confirm our bound comparison experimentally reported times different platforms. give pedagogical exposition argumentation introducing along way modern concepts such as ancilla-based measurements, speed limit, Lieb-Robinson velocity bounds.

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ژورنال

عنوان ژورنال: European Journal of Physics

سال: 2022

ISSN: ['0143-0807', '1361-6404']

DOI: https://doi.org/10.1088/1361-6404/ac5a7a