Probing quantum correlations in many-body systems: a review of scalable methods

Frérot, Irénée; Fadel, Matteo; Lewenstein, Maciej

doi:10.1088/1361-6633/acf8d7

Cited by 10 publications

(2 citation statements)

References 254 publications

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“…For any v = 1, 2, 3, and using the properties of the transformation matrices Γ, for Equation (15) we have the following:…”

Section: An Explicit Example: Three-level Systemmentioning

confidence: 99%

“…Other procedures may be problem-oriented, for instance, those employed in the study of Gaussian states [ 7 ] or of system–reservoir interactions [ 8 ]. Quantum correlations are often more general than classical correlations [ 4 , 9 , 10 ], and in some cases stronger [ 11 , 12 , 13 ], creating scalings (due to entanglements) in many-body systems, which are classically absent [ 14 , 15 ]. Furthermore, there are distinct types of quantum correlations [ 9 ], ranging from the most basic—associated with the quantum construction itself, which we call “quantum”—to those exhibiting an increasing order of restrictiveness, typically entanglement, steering, and nonlocality; see Figure 1 .…”

Section: Introductionmentioning

confidence: 99%

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Correlations in the EPR State Observables

Orsini,

Oliveira,

da Luz

2024

Entropy

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The identification and physical interpretation of arbitrary quantum correlations are not always effortless. Two features that can significantly influence the dispersion of the joint observable outcomes in a quantum bipartite system composed of systems I and II are: (a) All possible pairs of observables describing the composite are equally probable upon measurement, and (b) The absence of concurrence (positive reinforcement) between any of the observables within a particular system; implying that their associated operators do not commute. The so-called EPR states are known to observe (a). Here, we demonstrate in very general (but straightforward) terms that they also satisfy condition (b), a relevant technical fact often overlooked. As an illustration, we work out in detail the three-level systems, i.e., qutrits. Furthermore, given the special characteristics of EPR states (such as maximal entanglement, among others), one might intuitively expect the CHSH correlation, computed exclusively for the observables of qubit EPR states, to yield values greater than two, thereby violating Bell’s inequality. We show such a prediction does not hold true. In fact, the combined properties of (a) and (b) lead to a more limited range of values for the CHSH measure, not surpassing the nonlocality threshold of two. The present constitutes an instructive example of the subtleties of quantum correlations.

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“…For any v = 1, 2, 3, and using the properties of the transformation matrices Γ, for Equation (15) we have the following:…”

Section: An Explicit Example: Three-level Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Correlations in the EPR State Observables

Orsini,

Oliveira,

da Luz

2024

Entropy

View full text Add to dashboard Cite

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Entanglement-enhanced quantum metrology: From standard quantum limit to Heisenberg limit

Huang,

Zhuang,

Lee

2024

Applied Physics Reviews

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Entanglement-enhanced quantum metrology explores the utilization of quantum entanglement to enhance measurement precision. When particles in a probe are prepared into a suitable quantum entangled state, they may collectively accumulate information about the physical quantity to be measured, leading to an improvement in measurement precision beyond the standard quantum limit and approaching the Heisenberg limit. The rapid advancement of techniques for quantum manipulation and detection has enabled the generation, manipulation, and detection of multi-particle entangled states in synthetic quantum systems such as cold atoms and trapped ions. This article aims to review and illustrate the fundamental principles and experimental progresses that demonstrate multi-particle entanglement for quantum metrology, as well as discuss the potential applications of entanglement-enhanced quantum sensors.

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Catalysis of entanglement and other quantum resources

Datta,

Varun Kondra,

Miller

et al. 2023

Rep. Prog. Phys.

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In chemistry, a catalyst is a substance which enables a chemical reaction or increases its rate, while remaining unchanged in the process. Instead of chemical reactions, quantum catalysis enhances our ability to convert quantum states into each other under physical constraints. The nature of the constraints depends on the problem under study and can arise, e.g., from energy preservation. This article reviews the most recent developments in quantum catalysis and gives a historical overview of this research direction. We focus on the catalysis of quantum entanglement and coherence, and also discuss this phenomenon in quantum thermodynamics and general quantum resource theories. We review applications of quantum catalysis and also discuss the recent efforts on universal catalysis, where the quantum state of the catalyst does not depend on the states to be transformed. Catalytic embezzling is also considered, a phenomenon that occurs if the catalyst's state can change in the transition.

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Probing quantum correlations in many-body systems: a review of scalable methods

Cited by 10 publications

References 254 publications

Correlations in the EPR State Observables

Correlations in the EPR State Observables

Entanglement-enhanced quantum metrology: From standard quantum limit to Heisenberg limit

Catalysis of entanglement and other quantum resources

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