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

• URL: http://arxiv.org/abs/2206.12870v1
• Date: Sun, 26 Jun 2022 12:56:47 GMT
• Title: 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
• Authors: Dileep Singh and Vaishali Gulati and Arvind and Kavita Dorai
• Abstract summary: We experimentally created a maximally entangled three-qubit state called the $vert rm S rangle$ state on an NMR quantum processor. The presence of entanglement in the state was certified by computing two different entanglement measures, namely negativity and concurrence.
• Score: 3.818504253546488
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We designed a quantum circuit to prepare a permutation-symmetric maximally entangled three-qubit state called the $\vert {\rm S} \rangle$ 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 $\vert {\rm S} \rangle$ 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.

Related papers

• Quantum error correction-inspired multiparameter quantum metrology [0.029541734875307393]
  We present a strategy for obtaining optimal probe states and measurement schemes in a class of noiseless estimation problems with symmetry among the generators. The key to the framework is the introduction of a set of quantum metrology conditions, analogous to the quantum error correction conditions of Knill and Laflamme. We show that tetrahedral symmetry and, with fine-tuning, $S_3$ symmetry, are minimal symmetry groups providing optimal probe states for SU(2) estimation.
  arXiv  Detail & Related papers  (2024-09-25T00:06:12Z)
• Spontaneous symmetry breaking in a $SO(3)$ non-Abelian lattice gauge theory in $2+1$D with quantum algorithms [0.0]
  We study the ability of quantum algorithms to prepare ground states in a matter-free non-Abelian $SO(3)$ lattice gauge theory in $2+1$D. To deal with the large Hilbert space of gauge fields, we demonstrate how the exact imposition of the non-Abelian Gauss Law in the rishon representation of the quantum link operator significantly reduces the degrees of freedom.
  arXiv  Detail & Related papers  (2024-09-11T08:55:59Z)
• Multipartite entanglement in the diagonal symmetric subspace [41.94295877935867]
  For diagonal symmetric states, we show that there is no bound entanglement for $d = 3,4 $ and $N = 3$. We present a constructive algorithm to map multipartite diagonal symmetric states of qudits onto bipartite symmetric states of larger local dimension.
  arXiv  Detail & Related papers  (2024-03-08T12:06:16Z)
• Mixed-state quantum anomaly and multipartite entanglement [8.070164241593814]
  We show a surprising connection between mixed state entanglement and 't Hooft anomaly. We generate examples of mixed states with nontrivial long-ranged multipartite entanglement. We also briefly discuss mixed anomaly involving both strong and weak symmetries.
  arXiv  Detail & Related papers  (2024-01-30T19:00:02Z)
• The role of shared randomness in quantum state certification with unentangled measurements [36.19846254657676]
  We study quantum state certification using unentangled quantum measurements. $Theta(d2/varepsilon2)$ copies are necessary and sufficient for state certification. We develop a unified lower bound framework for both fixed and randomized measurements.
  arXiv  Detail & Related papers  (2024-01-17T23:44:52Z)
• $\mathcal{PT}$-symmetric mapping of three states and its implementation on a cloud quantum processor [0.9599644507730107]
  We develop a new $mathcalPT$-symmetric approach for mapping three pure qubit states. We show consistency with the Hermitian case, conservation of average projections on reference vectors, and Quantum Fisher Information. Our work unlocks new doors for applying $mathcalPT$-symmetry in quantum communication, computing, and cryptography.
  arXiv  Detail & Related papers  (2023-12-27T18:51:33Z)
• Asymmetric Quantum Illumination with three-mode Gaussian State [0.0]
  Quantum illumination with asymmetric strategy is examined. It is shown that this scenario gives less-error probability compared to that with the two-mode squeezed vacuum state.
  arXiv  Detail & Related papers  (2023-09-08T02:54:40Z)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• Quantum Discrimination of Two Noisy Displaced Number States [68.2727599930504]
  We first consider the quantum discrimination of two noiseless displaced number states. We then address the problem of discriminating between two noisy displaced number states.
  arXiv  Detail & Related papers  (2020-12-09T16:56:16Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)
• Tripartite Genuine Non-Gaussian Entanglement in Three-Mode Spontaneous Parametric Downconversion [56.12820031986851]
  We show that the states generated by a three-mode spontaneous parametric downconversion interaction Hamiltonian possess tripartite entanglement of a different nature to other paradigmatic three-mode entangled states generated by the combination of two-mode SPDCs interactions.
  arXiv  Detail & Related papers  (2020-01-20T10:39:28Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.