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Temporal Bell inequalities, or Leggett-Garg Inequalities (LGI), are studied for continuous-variable systems placed in a squeezed state. The importance of those systems lies in their broad applicability which allows the description of many…

量子物理 · 物理学 2021-07-19 Jerome Martin , Vincent Vennin

We realise a quantum three-level system with photons distributed among three different spatial and polarization modes. Ambiguous measurement of the state of the qutrit are realised by blocking one out for the three modes at any one time.…

量子物理 · 物理学 2018-02-14 Kunkun Wang , Clive Emary , Mengyan Xu , Xiang Zhan , Zhihao Bian , Lei Xiao , Peng Xue

The Leggett-Garg (LG) inequalities were introduced to test for the possible presence of macroscopic quantum coherence. Since such effects may be found in various types of macroscopic oscillators, we consider the application of the LG…

量子物理 · 物理学 2023-12-06 Clement Mawby , Jonathan Halliwell

Violation of the Leggett-Garg inequality (LGI) implies quantum phenomena. In this light we establish that the Moreva \textit{et al.} \cite{moreva} experiment demonstrating the Page-Wootter's mechanism \cite{wootters} falls in the quantum…

量子物理 · 物理学 2017-02-01 D. Gangopadhyay , A. Sinha Roy

We show how to apply the Leggett-Garg inequality to opto-electro-mechanical systems near their quantum ground state. We find that by using a dichotomic quantum non-demolition measurement (via, e.g., an additional circuit-QED measurement…

量子物理 · 物理学 2012-09-17 Neill Lambert , Robert Johansson , Franco Nori

Ambiguous measurements do not reveal complete information about the system under test. Their quantum-mechanical counterparts are semi-weak (or in the limit, weak-) measurements and here we discuss their role in tests of the Leggett-Garg…

量子物理 · 物理学 2017-10-11 Clive Emary

The Leggett-Garg inequality (LGI) as a temporal analogue of Bell's inequality, derived using the notion of realism, is applied in a hitherto unexplored context involving the weak interaction induced two-state oscillations of decaying…

量子物理 · 物理学 2015-06-15 D. Gangopadhyay , D. Home , A. Sinha Roy

Leggett Garg inequalities (LGIs) provide an elegant way for probing the incompatibility between the notion of macrorealism and quantum mechanics. For unitary dynamics, the optimal quantum violation of a LGI is constrained by the L\"uders…

量子物理 · 物理学 2022-03-23 Asmita Kumari , A. K. Pan

The Leggett-Garg inequality (LGI) places a bound for the distinction between quantum systems and classical systems. Despite that the tests of temporal quantum correlations on LGIs have been studied in Hermitian realm, there are still…

量子物理 · 物理学 2024-06-21 Pengfei Lu , Xinxin Rao , Teng Liu , Yang Liu , Ji Bian , Feng Zhu , Le Luo

We show that in some cases the coherent state can have a larger violation of the Leggett-Garg inequality (LGI) than the cat state by numerical calculations. To achieve this result, we consider the LGI of the cavity mode weakly coupled to a…

量子物理 · 物理学 2021-07-13 Hiroo Azuma , Masashi Ban

We investigate the nonclassicality of an open quantum system using Leggett-Garg inequality (LGI) which test the correlations of a single system measured at different times. Violation of LGI implies nonclassical behavior of the open system.…

量子物理 · 物理学 2017-04-11 Md. Manirul Ali , Po-Wen Chen

We investigate both analytically and numerically violations of a Leggett-Garg inequality (LGI) for a composite quantum system in contact with two separate reservoirs at different temperatures. Remarkably we find that LGI violations can be…

介观与纳米尺度物理 · 物理学 2015-06-15 Juan C. Castillo , Ferney J. Rodríguez , Luis Quiroga

We study some aspects of the Leggett-Garg inequalities by using the operator-state formalism for multitime processes. The process tensor in its Choi-state form, which we call process state, is employed to investigate the Leggett-Garg…

量子物理 · 物理学 2025-06-12 Zhiqiang Huang , Xiao-Kan Guo

We apply the Leggett-Garg inequalities (LGI) to the case of classical and quantum unstable systems. For classical systems the two assumptions of macroscopic realism and non-invasive measurements imply that the three-measurement string $K_3$…

量子物理 · 物理学 2021-12-08 Francesco Giacosa , Giuseppe Pagliara

We prove that a violation of a Leggett-Garg inequality for bounded observables in stationary pure states and thermal states yields a rigorous lower bound on the quantum Fisher information. This turns a qualitative foundations test of…

量子物理 · 物理学 2026-04-14 Nick Abboud , Yuntao Guan , Barry Bradlyn , Jorge Noronha

We investigate the violation of Leggett-Garg (LG) inequalities inquantum dots with the stationarity assumption. By comparing two types of LG inequalities, we find a better one which is easier to be tested in experiment. In addition, we show…

量子物理 · 物理学 2015-05-30 Yong-Nan Sun , Yang Zou , Rong-Chun Ge , Jian-Shun Tang , Chuan-Feng Li , Guang-Can Guo

The Leggett-Garg inequality (LGI) serves as a criterion to determine the adherence of macroscopic system dynamics to macrorealism, as introduced by Leggett and Garg. A violation of this inequality implies either the absence of a realistic…

量子物理 · 物理学 2025-02-24 Tsubasa Sakamoto , Ryosuke Yoshii , Shunji Tsuchiya

Leggett-Garg's inequalities predict sharp bounds for some classical correlation functions that address the quantum or classical nature of real-time evolutions. We experimentally observe the violations of these bounds on single- and…

量子物理 · 物理学 2022-04-06 Alessandro Santini , Vittorio Vitale

Macrorealism (MR) is the world view that certain quantities may take definite values at all times irrespective of past or future measurements and may be experimentally falsified via the Leggett-Garg (LG) inequalities. We put this world view…

量子物理 · 物理学 2023-12-06 Clement Mawby , Jonathan Halliwell

The Leggett-Garg inequality (LGI) is a temporal analogue of Bell's inequality and provides a quantitative test of the nonclassicality of a system through its violation. We analytically investigate the violation of the LGI in the context of…

广义相对论与量子宇宙学 · 物理学 2026-01-29 Kimihiro Nomura , Akira Taniguchi , Kazushige Ueda
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