Complementarity of Entanglement and Interference

Hosoya, Akio; Carlini, A.; Okano, Soh

doi:10.1142/s0129183106008716

Cited by 6 publications

(10 citation statements)

References 21 publications

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“…where k = 1, 2. V k is the one-particle visibility and P k is the path predictability, which in the context of a double-slit experiment gives the knowledge that is available about which slit the photon has passed by [9][10][11][12][13][14][15]. The quantity C is the concurrence [16], which is a measurement of the entanglement of the composite system.…”

Section: Introductionmentioning

confidence: 99%

“…[17]. Complementarity relations involving multi-particle states have been also developed [9,[11][12][13][14][15]18]. Recently, the experimental investigation of hybrid photonic entanglement (HPE), namely the entanglement between two different degrees of freedom (DOF) of composite quantum systems, has been receiving a growing amount of attention [19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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Interference and complementarity for two-photon hybrid entangled states

et al. 2010

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In this work we generate two-photon hybrid entangled states (HES), where the polarization of one photon is entangled with the transverse spatial degree of freedom of the second photon. The photon pair is created by parametric down-conversion in a polarization-entangled state. A birefringent double-slit couples the polarization and spatial degrees of freedom of these photons and finally, suitable spatial and polarization projections generate the HES. We investigate some interesting aspects of the two-photon hybrid interference, and present this study in the context of the complementarity relation that exists between the visibilities of the one- and two-photon interference patterns.Comment: 10 pages, 4 figures. Accepted in Physical Review

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Interference and complementarity for two-photon hybrid entangled states

et al. 2010

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“…We emphasize that visibility here is not the two-particle visibility defined from a combination of correlation functions, which is shown to be equivalent to the concurrence of the pure state spanned by |gg , |eg , |ge , |ee [3,5]. Several generalizations addressing the case of mixed states, of two qudits, and of multipartite qubits have also been reported recently [7][8][9][10][11]. Despite these progresses, there is still no net conclusive result on general multipartite systems.…”

Section: Introductionmentioning

confidence: 99%

Entanglement detection from interference fringes in atom-photon systems

2010

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A measurement scheme of atomic qubits pinned at given positions is studied by analyzing the interference pattern obtained when they emit photons spontaneously. In the case of two qubits, a well-known relation is revisited, in which the interference visibility is equal to the concurrence of the state in the infinite spatial separation limit of the qubits. By taking into account the super-radiant and sub-radiant effects, it is shown that a state tomography is possible when the qubit spatial separation is comparable to the wavelength of the atomic transition. In the case of three qubits, the relations between various entanglement measures and the interference visibility are studied, where the visibility is defined from the two-qubit case. A qualitative correspondence among these entanglement relations is discussed. In particular, it is shown that the interference visibility is directly related to the maximal bipartite negativity.Comment: 12 pages, 2 figures, published versio

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“…Dürr et al [25] tested this formula by experiment. Hosoya et al [34] investigated the complementarity of which-way distinguishability and interference from the viewpoint of entanglement.…”

Section: Entanglement As a Root Of Measurement Effectsmentioning

confidence: 99%

“…The weak value is a value of meter conditioned by a postselected object value. It was first pointed out by Tamate et al [38] that the structure of the weak value (35) is dual to the structure of the quantum eraser (34).…”

Section: Entanglement As a Root Of Measurement Effectsmentioning

confidence: 99%

Complementarity and the Nature of Uncertainty Relations in Einstein–Bohr Recoiling Slit Experiment

Tanimura

2015

Quanta

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A model of the Einstein-Bohr double-slit experiment is formulated in a fully quantum theoretical setting. In this model, the state and dynamics of a movable wall that has the double slits in it, as well as the state of a particle incoming to the double slits, are described by quantum mechanics. Using this model, we analyzed complementarity between exhibiting the interference pattern and distinguishing the particle path. Comparing the Kennard-Robertson type and the Ozawa-type uncertainty relations, we conclude that the uncertainty relation involved in the double-slit experiment is not the Ozawa-type uncertainty relation but the Kennard-type uncertainty relation of the position and the momentum of the double-slit wall. A possible experiment to test the complementarity relation is suggested. It is also argued that various phenomena which occur at the interface of a quantum system and a classical system, including distinguishability, interference, decoherence, quantum eraser, and weak value, can be understood as aspects of entanglement.

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Complementarity of Entanglement and Interference

Cited by 6 publications

References 21 publications

Interference and complementarity for two-photon hybrid entangled states

Interference and complementarity for two-photon hybrid entangled states

Entanglement detection from interference fringes in atom-photon systems

Complementarity and the Nature of Uncertainty Relations in Einstein–Bohr Recoiling Slit Experiment

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