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By using highly entangled states, quantum metrology guarantees precision impossible with classical measurements. Unfortunately such states can be very susceptible to noise, and it is a great challenge of the field to maintain quantum…

量子物理 · 物理学 2020-03-25 Nathan Shettell , Damian Markham

We give an analytical result for the quantum Fisher information of entangled coherent States in a lossy Mach-Zehnder Interferometer recently proposed by J. Joo et al. [Phys. Rev. Lett. 107, 083601(2011)]. For small loss of photons, we find…

量子物理 · 物理学 2016-11-26 Xiaoxing Jing , Jing Liu , Wei Zhong , Xiaoguang Wang

We present the experimental measurement, on a quantum processor, of a series of polynomial lower bounds that converge to the quantum Fisher information (QFI), a fundamental quantity for certifying multipartite entanglement that is useful…

Graph states are multi-particle entangled states that correspond to mathematical graphs, where the vertices of the graph take the role of quantum spin systems and edges represent Ising interactions. They are many-body spin states of…

量子物理 · 物理学 2007-05-23 M. Hein , J. Eisert , H. J. Briegel

Graph states -- one of the most representative families of multipartite entangled states, are important resources for multiparty quantum communication, quantum error correction, and quantum computation. Device-independent certification of…

量子物理 · 物理学 2022-01-12 Jia-Min Xu , Qing Zhou , Yu-Xiang Yang , Zi-Mo Cheng , Xin-Yu Xu , Zhi-Cheng Ren , Xi-Lin Wang , Hui-Tian Wang

In the last years, a relationship has been established between the quantum Fisher information (QFI) and quantum entanglement. In the case of two-qubit systems, all pure entangled states can be made useful for sub-shot-noise interferometry…

量子物理 · 物理学 2019-11-11 Stefano Scali , Roberto Franzosi

We investigate the phase sensitivity of a Mach-Zehnder interferometer using a special class of generalized coherent states constructed from generalized Heisenberg and deformed $su(1,1)$ algebras. These states, derived from a perturbed…

量子物理 · 物理学 2025-11-03 N. E. Abouelkhir , A. Slaoui , R. Ahl Laamara

We investigate the non-local properties of graph states. To this aim, we derive a family of Bell inequalities which require three measurement settings for each party and are maximally violated by graph states. In turn, for each graph state…

量子物理 · 物理学 2007-05-23 Otfried Guehne , Geza Toth , Philipp Hyllus , Hans J. Briegel

The phase resolution of interferometers is limited by the so-called Heisenberg limit, which states that the optimum phase sensitivity is inversely proportional to the number of interfering particles N, a 1/sqrt{N} improvement over the…

量子物理 · 物理学 2009-11-13 H. Uys , P. Meystre

We establish a quantum Fisher information (QFI) duality for distributed quantum sensor networks with local phase encoding. For any $N$-qubit probe state, where $N$ denotes the number of sensors, $F_Q(\boldsymbol{w}^\top \boldsymbol{\theta})…

量子物理 · 物理学 2026-05-21 Farhad Farokhi

Phase measurement using a lossless Mach-Zehnder interferometer with certain entangled $N$-photon states can lead to a phase sensitivity of the order of 1/N, the Heisenberg limit. However, previously considered output measurement schemes are…

量子物理 · 物理学 2009-11-13 Yang Gao , Hwang Lee

Bipartite maximally entangled states have the property that the largest Schmidt coefficient reaches its lower bound. However, for multipartite states the standard Schmidt decomposition generally does not exist. We use a generalized Schmidt…

量子物理 · 物理学 2009-11-12 Sayatnova Tamaryan , Tzu-Chieh Wei , DaeKil Park

Entanglement has been studied extensively for unveiling the mysteries of non-classical correlations between quantum systems. In the bipartite case, there are well known measures for quantifying entanglement such as concurrence, relative…

量子物理 · 物理学 2015-04-30 Volkan Erol , Fatih Ozaydin , Azmi Ali Altintas

Graph states possess significant practical value in measurement-based quantum computation, with complete graph states that exhibit exceptional performance in quantum metrology. In this work, we introduce a method for generating…

量子物理 · 物理学 2024-04-09 X. X. Li , D. X. Li , X. Q. Shao

Graph states are special entangled states advantageous for many quantum technologies, including quantum error correction, multiparty quantum communication and measurement-based quantum computation. Yet, their fidelity is often disrupted by…

量子物理 · 物理学 2025-06-09 Shahar Silberstein , Rotem Arnon

The $N$-qubit Greenberger-Horne-Zeilinger (GHZ) states are the maximally entangled states of $N$ qubits, which have had many important applications in quantum information processing, such as quantum key distribution and quantum secret…

量子物理 · 物理学 2021-11-03 Xing-Yan Fan , Jie Zhou , Hui-Xian Meng , Chunfeng Wu , Arun Kumar Pati , Jing-Ling Chen

In this paper, we study the multipartite entanglement properties of graph states up to seven qubits. Our analysis shows that the generalized concurrence measure is more efficient than geometric entanglement measure for measuring…

量子物理 · 物理学 2023-07-20 Saeed Haddadi , Ahmad Akhound , Mohammad Ali Chaman Motlagh

We consider graph states generated by the action of controlled phase shift operators on a separable state of a multi-qubit system. The case when all the qubits are initially prepared in arbitrary states is investigated. We obtain the…

量子物理 · 物理学 2024-01-29 N. A. Susulovska

Any n-qubit state with n independent perfect correlations is equivalent to a graph state. We present the optimal Bell inequalities for perfect correlations and maximal violation for all classes of graph states with n < 7 qubits. Twelve of…

量子物理 · 物理学 2009-11-13 Adan Cabello , Otfried Gühne , David Rodriguez

Multi-qubit graph states generated by the action of controlled phase shift operators on a separable quantum state of a system, in which all the qubits are in arbitrary identical states, are examined. The geometric measure of entanglement of…

量子物理 · 物理学 2022-03-11 Kh. P. Gnatenko , N. A. Susulovska
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