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Fringe Visibility and Which-Way Information: An Inequality
Abstract
An inequality is derived according to which the fringe visibility in a two-way interferometer sets an absolute upper bound on the amount of which-way information that is potentially stored in a which-way detector. In some sense, this inequality can be regarded as quantifying the notion of wave-particle duality. The derivation of the inequality does not make use of Heisenberg's uncertainty relation in any form.
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“Remarkably, monogamy is manifested in the constraint of the energy distribution for the considered spin pair through a complementarity relation[46, 47]”
From Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems (2011) · cites this paper as [46]
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“, 1995) and (Englert, 1996) to quantify how much ‘which-path’ knowledge (K) can be obtained and how much contrast (C) can be observed at the output of an interferometer.”
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“ncertainty of the system. Uhlmann [15] showed that the same inequality holds for mixed states when orthogonality is replaced by distinguishability, which means that the fidelity of the states vanishes [28, 29]. To be precise, Uhlmann showed that if ρis a solution to (20), then the Bureslengthbetweentheinitialandfinalsta…”
BackgroundQuantum measurements and new concepts for experiments with trapped ionsPreprint
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“A general quantitative relation between the amount of welcher weg information stored in a detector and the visibility of interference fringes has been given in (Englert 1996).”
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Metadata
- Authors
- Englert, B.-G.
- Affiliations
- Max Planck Institute of Quantum Optics (DE)
- Corresponding author
- Englert, Berthold-Georg
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1996-09-09
- Volume
- 77
- Issue
- 11
- Pages
- 2154-2157
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2156583743
- Cited by
- 821
- References
- 12
- Citations by year
- 2026: 38 · 2025: 41 · 2024: 34 · 2023: 33 · 2022: 40 · 2021: 51 · 2020: 35 · 2019: 43 · 2018: 38 · 2017: 40 · 2016: 36 · 2015: 42 · 2014: 36 · 2013: 18 · 2012: 29
- FWCI
- 5.51
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- fringe visibility, which-way information, wave-particle duality, information-theoretic inequalities, quantum interference, complementarity
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