Equivalence of wave–particle duality to entropic uncertainty

Coles, Patrick J.; Kaniewski, Jędrzej; Wehner, Stephanie

doi:10.1038/ncomms6814

Cited by 100 publications

(115 citation statements)

References 43 publications

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“…The duality relation (1) was also experimentally verified [6]. Wave-particle duality in two-slit experiments has also been connected to things like entropic uncertainty relations [7], and the dichotomy between symmetry and asymmetry [8].…”

Section: Introductionmentioning

confidence: 94%

Measuring quantum coherence in multislit interference

Paul

Qureshi

2017

Phys. Rev. A

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A quantitative measure of quantum coherence was recently introduced, in the context of quantum information theory. This measure has also been propounded as a good quantifier of the wave nature of quantum objects. However, actually measuring coherence in an experiment is still considered a challenge. A procedure for measuring coherence in a multi-slit interference is proposed here. It can be used for experimentally testing duality relations for interference experiments involving more than two slits.

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Section: Introductionmentioning

confidence: 94%

Measuring quantum coherence in multislit interference

Paul

Qureshi

2017

Phys. Rev. A

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“…While the fringe visibility being the most used signature of wave nature of the quantum particles, it is certainly not the only one to capture the essence. For example, recently, the wave-particle duality in two-slit experiments has been shown to be equivalent to the entropic uncertainty relation [18], and the wave and particle natures are represented with entropic quantifiers.…”

Section: Introductionmentioning

confidence: 99%

Duality of quantum coherence and path distinguishability

et al. 2015

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We derive a generalized wave-particle duality relation for arbitrary multi-path quantum interference phenomena. Beyond the conventional notion of the wave nature of a quantum system, i.e., the interference fringe visibility, we introduce a novel quantifier as the normalized quantum coherence, recently defined in the framework of quantum information theory. To witness the particle nature, we quantify the path distinguishability or the which-path information based on unambiguous quantum state discrimination. Then, the Bohr complementarity principle, for multi-path quantum interference, can be stated as a duality relation between the quantum coherence and the path distinguishability. For two-path interference, the quantum coherence is identical to the interference fringe visibility, and the relation reduces to the well-know complementarity relation. The new duality relation continues to hold in the case where mixedness is introduced due to possible decoherence effects.

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“…Recent work [79] tends to confirm the existence of a natural link between wave-particle duality and the uncertainty principle in quantum mechanics. The modern formulation of the uncertainty principle uses entropy rather than standard deviation as the uncertainty measure [80].…”

Section: Further Theoretical and Phenomenological Considerationsmentioning

confidence: 99%

Tests and prospects of new physics at very high energy. Beyond the standard basic principles, and beyond conventional matter and space-time. On the possible origin of Quantum Mechanics.

Gonzalez‐Mestres

2015

EPJ Web of Conferences

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Abstract. Recent results and announcements by Planck and BICEP2 have led to important controversies in the fields of Cosmology and Particle Physics. As new ideas and alternative approaches can since then more easily emerge, the link between the Mathematical Physics aspects of theories and the interpretation of experimental results becomes more direct. This evolution is also relevant for Particle Physics experiments at very high energy, where the interpretation of data on the highest-energy cosmic rays remains a major theoretical and phenomenological challenge. Alternative particle physics and cosmology can raise fundamental questions such as that of the structure of vacuum and space-time. In particular, the simplified description of the physical vacuum contained in standard quantum field theory does not necessarily correspond to reality at a deeper level, and similarly for the relativistic space-time based on four real variables. In a more general approach, the definition itself of vacuum can be a difficult task. The spinorial space-time (SST) we suggested in 1996-97 automatically incorporates a local privileged space direction (PSD) for each comoving observer, possibly leading to a locally anisotropic vacuum structure. As the existence of the PSD may have been confirmed by Planck, and a possible discovery of primordial B-modes in the polarization of the cosmic microwave background radiation (CMB) may turn out to contain new evidence for the SST, we explore other possible implications of this approach to space-time. The SST structure can naturally be at the origin of Quantum Mechanics at distance scales larger than the fundamental one if standard particles are dealt with as vacuum excitations. We also discuss possible implications of our lack of knowledge of the structure of vacuum, as well as related theoretical, phenomenological and cosmological uncertainties. Pre-Big Bang scenarios and new ultimate constituents of matter (including superbradyons) are crucial open subjects, together with vacuum structure and the interaction between vacuum and standard matter.

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Equivalence of wave–particle duality to entropic uncertainty

Cited by 100 publications

References 43 publications

Measuring quantum coherence in multislit interference

Measuring quantum coherence in multislit interference

Duality of quantum coherence and path distinguishability

Tests and prospects of new physics at very high energy. Beyond the standard basic principles, and beyond conventional matter and space-time. On the possible origin of Quantum Mechanics.

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