Stereographic geometry of coherence and which-path information

Maleki, Yusef

doi:10.1364/ol.44.005513

Cited by 15 publications

(14 citation statements)

References 31 publications

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“…The QF distributions are always positive distributions 25 , and they are useful for exploring the phase-space information, coherence and entanglement. Entanglement and coherence 26 are crucial resources for quantum information 27 . Based on the QF, Wehrl density and Wehrl entropy 28 are introduced to quantify the phase space information and the entanglement 29 .…”

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confidence: 99%

Quasi-probability information in a coupled two-qubit system interacting non-linearly with a coherent cavity under intrinsic decoherence

Mohamed

Eleuch

2020

Sci Rep

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We explore the phase space quantum effects, quantum coherence and non-classicality, for two coupled identical qubits with intrinsic decoherence. the two qubits are in a nonlinear interaction with a quantum field via an intensity-dependent coupling. We investigate the non-classicality via the Wigner functions. We also study the phase space information and the quantum coherence via the Q-function, Wehrl density, and Wehrl entropy. It is found that the robustness of the non-classicality for the superposition of coherent states, is highly sensitive to the coupling constants. The phase space quantum information and the matter-light quantum coherence can be controlled by the two-qubit coupling, initial cavity-field and the intrinsic decoherence.

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confidence: 99%

Quasi-probability information in a coupled two-qubit system interacting non-linearly with a coherent cavity under intrinsic decoherence

Mohamed

Eleuch

2020

Sci Rep

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“…where, p max D and p min D are the maximum and minimum probabilities of the photon (photons intensities) registered on the screen, respectively. Alternatively, which-path information can be quantified by [27]…”

Section: Duality−entanglement Relationmentioning

confidence: 99%

“…The state in Eq. ( 4) recasts a two-qubit state via a proper encoding of the computational basis [27]. With this observation, once the entanglement is taken into the consideration we attain [23][24][25]27]…”

Section: Duality−entanglement Relationmentioning

confidence: 99%

“…The concurrence of a pure two-qubit state could be determined in terms of the purity of one of the subsystems as [27,28], from which we find…”

Section: Duality−entanglement Relationmentioning

confidence: 99%

“…This finding exactly quantifies the relation between the complementarity notion of a quantum system and quantum entanglement. Interestingly, a tight connection between the stereographic geometry and the complementarity-entanglement triality of a quantum system was recently established [27], enabling the full geometric proof and the description of the notion of the complementarity-entanglement triality.…”

Section: Introductionmentioning

confidence: 99%

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Quantum eraser from duality--entanglement perspective

Maleki,

Liu,

Zubairy

2021

Preprint

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Wave-particle duality is a bizarre feature at the heart of quantum mechanics which refers to the mutually exclusive dual attributes of quantum objects as the wave and the particle. Quantum eraser presents a counterintuitive aspect of the wave-particle duality. In this work, we show that quantum eraser can be quantitatively understood in terms of the recently developed duality-entanglement relation. In other words, we show that wave-particle-entanglement triality captures all the physics of the quantum erasure. We find that a controllable partial erasure of the which-path information is attainable, enabling the partial recovery of the quantum interference and extending the scope of the conventional quantum eraser protocols.

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