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Wave-Particle Duality via Quantum Fisher Information |
| Chang Niu and Sixia Yu* |
| Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China |
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Chang Niu and Sixia Yu 2023 Chin. Phys. Lett. 40 110301 |
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Abstract Quantum Fisher information (QFI) plays an important role in quantum metrology, placing the ultimate limit to how precise we can estimate some unknown parameter and thus quantifying how much information we can extract. We observe that both the wave and particle properties within a Mach–Zehnder interferometer can naturally be quantified by QFI. Firstly, the particle property can be quantified by how well one can estimate the a priori probability of the path taken by the particle within the interferometer. Secondly, as the interference pattern is always related to some phase difference, the wave property can be quantified by how well one can estimate the phase parameter of the original state. With QFI as the unified figure of merit for both properties, we propose a more general and stronger wave-particle duality relation than the original one derived by Englert.
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Received: 09 August 2023
Editors' Suggestion
Published: 15 November 2023
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| PACS: |
03.67.-a
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(Quantum information)
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03.67.Ac
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(Quantum algorithms, protocols, and simulations)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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