Experimental detection of non-local correlations using a local measurement-based hierarchy on an NMR quantum processor

Singh, Amandeep; Singh, Dileep; Gulati, Vaishali; Dorai, Kavita; Arvind, .

doi:10.1140/epjd/e2020-10173-9

Cited by 5 publications

(2 citation statements)

References 37 publications

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“…The NMR experiments were performed at room temperature and the system was initialized in a pseudopure state (PPS), which mimics a pure state [40,41]. The PPS |000 was achieved via the spatial averaging technique [42] with the density operator being given by…”

Section: Nmr Experimental Detailsmentioning

confidence: 99%

Experimental construction of a symmetric three-qubit entangled state and its utility in testing the violation of a Bell inequality on an NMR quantum simulator

Singh¹,

Gulati²,

Arvind³

et al. 2022

EPL

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We designed a quantum circuit to prepare a permutation-symmetric maximally entangled three-qubit state called the |S〉 state and experimentally created it on an NMR quantum processor. The presence of entanglement in the state was certiﬁed by computing two diﬀerent entanglement measures, namely negativity and concurrence. We used the |S〉 state in conjunction with a set of maximally incompatible local measurements, to demonstrate the maximal violation of inequality number 26 in Sliwa’s classiﬁcation scheme, which is a tight Bell inequality for the (3,2,2) scenario i.e. the three party, two measurement settings and two measurement outcomes scenario.

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Section: Nmr Experimental Detailsmentioning

confidence: 99%

Experimental construction of a symmetric three-qubit entangled state and its utility in testing the violation of a Bell inequality on an NMR quantum simulator

Singh¹,

Gulati²,

Arvind³

et al. 2022

EPL

Self Cite

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“…An embedding quantum simulator was implemented using NMR and used to study the entangling dynamics of two-and threequbit systems [15]. Nonlocal correlations were detected using a local measurement-based hierarchy using three NMR qubits [16]. Three-photon GHZ and W states were experimentally demonstrated using entangled photons [17,18].…”

Section: Introductionmentioning

confidence: 99%

Classification and measurement of multipartite entanglement by reconstruction of correlation tensors on an NMR quantum processor

Gulati¹,

Arvind²,

Dorai³

2022

Preprint

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We introduce a protocol to classify three-qubit pure states into different entanglement classes and implement it on an NMR quantum processor. The protocol is designed in such a way that the experiments performed to classify the states can also measure the amount of entanglement present in the state. The classification requires the experimental reconstruction of the correlation matrices using 13 operators. The rank of the correlation matrices provide the criteria to classify the state in one of the five classes, namely, separable, biseparable (of three types), and genuinely entangled (of two types, GHZ and W). To quantify the entanglement, a concurrence function is defined which measures the global entanglement present in the state, using the same 13 operators. Global entanglement is zero for separable states and non-zero otherwise. We demonstrate the efficacy of the protocol by implementing it on states chosen from each of the six inequivalent (under stochastic local operations and classical communication) classes for three qubits. We also implement the protocol on states picked at random from the state space of three-qubit pure states.

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NMR Quantum Information Processing: Indian Contributions and Perspectives

Dorai

Arvind

2023

J Indian Inst Sci

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Experimental detection of non-local correlations using a local measurement-based hierarchy on an NMR quantum processor

Cited by 5 publications

References 37 publications

Experimental construction of a symmetric three-qubit entangled state and its utility in testing the violation of a Bell inequality on an NMR quantum simulator

Experimental construction of a symmetric three-qubit entangled state and its utility in testing the violation of a Bell inequality on an NMR quantum simulator

Classification and measurement of multipartite entanglement by reconstruction of correlation tensors on an NMR quantum processor

NMR Quantum Information Processing: Indian Contributions and Perspectives

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