Entanglement Detection with Imprecise Measurements

Morelli, Simon; Yamasaki, Hayata; Huber, Marcus; Tavakoli, Armin

doi:10.1103/physrevlett.128.250501

Cited by 11 publications

(3 citation statements)

References 93 publications

(81 reference statements)

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“…However, as evident from Table 1, our gates are not perfect. Recent work has shown how even slight imperfections in a measurement can compromise entanglement witnesses that normally assume perfect measurements 69 . Thus, it becomes necessary to take these imperfections into account when investigating the detection of entanglement.…”

Section: Applications Of Quantum Gatesmentioning

confidence: 99%

“…The fidelity and purity of the gates (Table 1 and Supplementary Information) show that our circuits are not perfect (ℱ < 100%). Recent work has shown that even slight imperfections in measurements can compromise entanglement witnesses that normally assume perfect measurements 69 . Here we investigate whether entanglement can be detected and quantified from the relative frequencies corresponding to our data measured in two approximately conjugate bases (Fig.…”

Section: High-dimensional Entanglement Certification With Systematic ...mentioning

confidence: 99%

See 1 more Smart Citation

Inverse-Design of High-Dimensional Quantum Optical Circuits in a Complex Medium

Goel,

Leedumrongwatthanakun,

Valencia

et al. 2023

Frontiers in Optics + Laser Science 2023 (FiO, LS)

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Section: Applications Of Quantum Gatesmentioning

confidence: 99%

Section: High-dimensional Entanglement Certification With Systematic ...mentioning

confidence: 99%

Inverse-Design of High-Dimensional Quantum Optical Circuits in a Complex Medium

Goel,

Leedumrongwatthanakun,

Valencia

et al. 2023

Frontiers in Optics + Laser Science 2023 (FiO, LS)

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show abstract

“…States of the form (1) are said to be separable. Significant effort has been devoted to methods to determine whether a state is entangled or not [7][8][9][10][11][12][13]. As separable states form a convex set, depicted in Fig.…”

Section: Introductionmentioning

confidence: 99%

Certifying quantum separability with adaptive polytopes

Ohst,

Yu,

Gühne

et al. 2024

SciPost Phys.

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The concept of entanglement and separability of quantum states is relevant for several fields in physics. Still, there is a lack of effective operational methods to characterise these features. We propose a method to certify quantum separability of two- and multiparticle quantum systems based on an adaptive polytope approximation. This leads to an algorithm which, for practical purposes, conclusively recognises two-particle separability for small and medium-size dimensions. For multiparticle systems, the approach allows to characterise full separability for up to five qubits or three qutrits; in addition, different classes of entanglement can be distinguished. Finally, our methods allow to identify systematically quantum states with interesting entanglement properties, such as maximally robust states which are separable for all bipartitions, but not fully separable.

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Inverse design of high-dimensional quantum optical circuits in a complex medium

Goel,

Leedumrongwatthanakun,

Valencia

et al. 2024

Nat. Phys.

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Programmable optical circuits are an important tool in developing quantum technologies such as transceivers for quantum communication and integrated photonic chips for quantum information processing. Maintaining precise control over every individual component becomes challenging at large scales, leading to a reduction in the quality of operations performed. In parallel, minor imperfections in circuit fabrication are amplified in this regime, dramatically inhibiting their performance. Here we use inverse design techniques to embed optical circuits in the higher-dimensional space of a large, ambient mode mixer such as a commercial multimode fibre. This approach allows us to forgo control over each individual circuit element, and retain a high degree of programmability. We use our circuits as quantum gates to manipulate high-dimensional spatial-mode entanglement in up to seven dimensions. Their programmability allows us to turn a multimode fibre into a generalized multioutcome measurement device, allowing us to both transport and certify entanglement within the transmission channel. With the support of numerical simulations, we show that our method is a scalable approach to obtaining high circuit fidelity with a low circuit depth by harnessing the resource of a high-dimensional mode mixer.

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Entanglement Detection with Imprecise Measurements

Cited by 11 publications

References 93 publications

Inverse-Design of High-Dimensional Quantum Optical Circuits in a Complex Medium

Inverse-Design of High-Dimensional Quantum Optical Circuits in a Complex Medium

Certifying quantum separability with adaptive polytopes

Inverse design of high-dimensional quantum optical circuits in a complex medium

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