Experimental demonstration of tight duality relation in three-path interferometer*

Ke, Zhi‐Jin; Meng, Yu; Wang, Ying; Yu, Shang; Liu, Wei; Li, Zhipeng; Wang, Hang; Li, Qiang; Xu, Jin‐Shi; Tang, Jian‐Shun; Li, Chuan‐Feng; Guo, Guang-Can

doi:10.1088/1674-1056/ab7ea2

Cited by 3 publications

(4 citation statements)

References 26 publications

(31 reference statements)

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“…We further design a scheme to experimentally verify our theoretical analysis when

. Instead of focusing on the interaction between the quanton and the QWPD system shown in Figure 1 d, we directly generate the quantum superposition between wave-state and particle-state in Equation ( 8 ), which is analogous to the methods used in previous experimental verifications [ 24 , 25 , 26 ] of duality relations with a standard WPD system.…”

Section: Experiments and Resultsmentioning

confidence: 99%

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Wave-Particle Duality Relation with a Quantum Which-Path Detector

Wang

Ding

et al. 2021

Entropy

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According to the relevant theories on duality relation, the summation of the extractable information of a quanton’s wave and particle properties, which are characterized by interference visibility V and path distinguishability D, respectively, is limited. However, this relation is violated upon quantum superposition between the wave-state and particle-state of the quanton, which is caused by the quantum beamsplitter (QBS). Along another line, recent studies have considered quantum coherence C in the l1-norm measure as a candidate for the wave property. In this study, we propose an interferometer with a quantum which-path detector (QWPD) and examine the generalized duality relation based on C. We find that this relationship still holds under such a circumstance, but the interference between these two properties causes the full-particle property to be observed when the QWPD system is partially present. Using a pair of polarization-entangled photons, we experimentally verify our analysis in the two-path case. This study extends the duality relation between coherence and path information to the quantum case and reveals the effect of quantum superposition on the duality relation.

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“…We further design a scheme to experimentally verify our theoretical analysis when

Section: Experiments and Resultsmentioning

confidence: 99%

“…See Refs. [ 24 , 25 , 26 ]. Until now, duality relations based on coherence have been established when wave-like and particle-like properties are classically mixed.…”

Section: Introductionmentioning

confidence: 99%

Wave-Particle Duality Relation with a Quantum Which-Path Detector

Wang

Ding

et al. 2021

Entropy

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“…We rearrange the elements of inequality in Theorem 1, and it will arrive at Eq. (20). For the tripartite pure quantum state ρ ABC or the tripartite mixed quantum state ρ ABC = |ψ⟩ A(BC) L ⊗ |ψ⟩ A(BC) R , it means that there exist two observables X and Y operated on the subsystem A, the result will be reduced to…”

Section: The Multiple Quantum Memory Assisted Information Exclusion P...mentioning

confidence: 99%

“…Quantum information theory is an important tool to deal with all kinds of the quantum problem [1] and is widely used in various quantum information processing tasks, such as quantum key distribution, quantum cryptography, and entanglement witness. [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] Measurement plays a vital role in quantum theory. It is the interface between the classical world and the quantum world, which is characterized by noncommutativity and superposition.…”

Section: Introductionmentioning

confidence: 99%

Quantum correlation enhanced bound of the information exclusion principle

Zhang

et al. 2023

Chinese Phys. B

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We investigate the information exclusion principle for multiple measurements with the assistance of the multiple quantum memory that is well bounded by the upper and lower bounds. The lower bound depends on the observables’ complementarity and the complementarity of uncertainty whilst the upper bound includes the complementarity of the observables, quantum discord, and quantum condition entropy. And in quantum measurement processing, there exists a relationship between the complementarity of uncertainty and the complementarity of information. In addition, based on the information exclusion principle the complementarity of uncertainty and the shareability of quantum discord can exist as an essential factor to enhance the bounds of each other in the presence of quantum memory.

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Simulation of quantum delayed-choice experiment through a single shot

Chen

Wang

et al. 2021

Opt. Express

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A fundamental feature of micro objects is the wave-particle duality which is addressed by Bohr’s complementarity principle. To observe the wave and particle behaviours, quantum delayed-choice experiments based on linear optics have been realized at the single-photon level. Since they were performed by using a single photon as the input, repeating measurements were required in order to obtain different experimental data and adjusting experimental parameters was necessary prior to each of measurements. Different from the previous works, we here realize a simulation of quantum delayed-choice experiment through a single shot, which employs a classical intense light beam as the input instead of a single photon. Experimentally, we demonstrate the trade-off between distinguishability and visibility of photons in a two-arm interferometer in an intuitive way by utilizing the finite beam profile of the light. We observe the morphing between wave and particle natures of photons via a single shot of a charged-coupled-device camera. Since the image is captured within the exposure time which is several milliseconds, the phase fluctuation is negligible, and therefore our experimental setup is robust against the noise. This work provides a simple and new route to inspect quantum duality, which does not require adjusting experimental parameters frequently and only needs performing measurement once.

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Experimental demonstration of tight duality relation in three-path interferometer*

Abstract: Bohr’s principle of complementarity has a long history and it is an important topic in quantum theory, among which the famous example is the duality relation. The relation between visibility C and distinguishability D, C 2 … Show more

Cited by 3 publications

References 26 publications

Wave-Particle Duality Relation with a Quantum Which-Path Detector

Wave-Particle Duality Relation with a Quantum Which-Path Detector

Quantum correlation enhanced bound of the information exclusion principle

Simulation of quantum delayed-choice experiment through a single shot

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