Related papers: Complementarity-based complementarity

Complementarity-based complementarity

URL: http://arxiv.org/abs/2406.11395v2
Date: Thu, 4 Jul 2024 07:57:34 GMT
Title: Complementarity-based complementarity
Authors: Laura Serino, Giovanni Chesi, Benjamin Brecht, Lorenzo Maccone, Chiara Macchiavello, Christine Silberhorn,
Abstract summary: We show that the amount of complementarity that a quantum system can exhibit depends on which complementary properties one is considering. This property was first found experimentally, and demonstrates that an experimental discovery can disclose quantum information effects.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-nd/4.0/
Abstract: We show that the amount of complementarity that a quantum system can exhibit depends on which complementary properties one is considering. Consider a set of mutually unbiased bases (MUBs) which corresponds to the spectral decomposition of some maximally complementary properties: The perfect knowledge of one, i.e. the state of the system is one of the basis states, implies that all the others are completely unknown, namely the measurement of another property will find any of its possible outcomes with uniform probability. We show that, depending on which three of the MUBs we choose, a 5-dimensional system can have different degrees of complementarity, measured using the minimum over all the system states of the sum of the entropies and of the variances of the measurement outcomes related to the three chosen observables. This property was first found experimentally, and demonstrates that an experimental discovery can disclose quantum information effects.

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