Detection of the genuine non-locality of any three-qubit state

• URL: http://arxiv.org/abs/2301.07955v2
• Date: Mon, 19 Jun 2023 07:17:28 GMT
• Title: Detection of the genuine non-locality of any three-qubit state
• Authors: Anuma Garg, Satyabrata Adhikari
• Abstract summary: violation of Svetlichny inequality by any three-qubit state described by the density operator $rho_ABC$ witness the genuine non-locality of $rho_ABC$. We then achieve the inequality whose violation may detect the genuine non-locality of any three-qubit state.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: It is known that the violation of Svetlichny inequality by any three-qubit state described by the density operator $\rho_{ABC}$ witness the genuine non-locality of $\rho_{ABC}$. But it is not an easy task as the problem of showing the genuine non-locality of any three-qubit state reduces to the problem of a complicated optimization problem. Thus, the detection of genuine non-locality of any three-qubit state may be considered a challenging task. Therefore, we have taken a different approach and derived the lower and upper bound of the expectation value of the Svetlichny operator with respect to any three-qubit state to study this problem. The expression of the obtained bounds depends on whether the reduced two-qubit entangled state is detected by the CHSH witness operator or not. It may be expressed in terms of the following quantities such as (i) the eigenvalues of the product of the given three-qubit state and the composite system of single qubit maximally mixed state and reduced two-qubit state and (ii) the non-locality of reduced two-qubit state. We then achieve the inequality whose violation may detect the genuine non-locality of any three-qubit state. A few examples are cited to support our obtained results. Lastly, we discuss its possible implementation in the laboratory.

Related papers

• Nonlocality under Jaynes-Cummings evolution: beyond pseudospin operators [44.99833362998488]
  We re-visit the generation and evolution of (Bell) nonlocality in hybrid scenarios whose dynamics is determined by the Jaynes-Cummings Hamiltonian. Recent results on the optimal Bell violation in qubit-qudit systems show that the nonlocality is much greater than previously estimated.
  arXiv  Detail & Related papers  (2024-10-14T16:01:23Z)
• Embezzlement of entanglement, quantum fields, and the classification of von Neumann algebras [41.94295877935867]
  We study the quantum information theoretic task of embezzlement of entanglement in the setting of von Neumann algebras. We quantify the performance of a given resource state by the worst-case error. Our findings have implications for relativistic quantum field theory, where type III algebras naturally appear.
  arXiv  Detail & Related papers  (2024-01-14T14:22:54Z)
• Strength of the nonlocality of two-qubit entangled state and its applications [0.0]
  Non-locality is a feature of quantum mechanics that cannot be explained by local realistic theory. In the XOR game, a two-qubit entangled state is shared between the two distant players. We have defined a quantity $S_NL$ called the strength of non-locality.
  arXiv  Detail & Related papers  (2022-12-21T09:52:57Z)
• From nonlocality quantifiers for behaviors to nonlocality quantifiers for states [58.720142291102135]
  We define an alternative way of quantifying nonlocality of states based on Bell nonlocality of behaviors, called the trace-weighted nonlocal volume. The construction is based on the nonlocal volume, a quantifier of nonlocality for states that counts the volume of the set of measurements that give rise to nonlocal behaviors when applied to this state, plus the trace distance. We show that the weak anomaly of nonlocality for the (2, 2, 3) scenario persists, but the local minimum for nonlocality with the trace-weighted nonlocal volume occurs in a different state as compared to the minimum for the
  arXiv  Detail & Related papers  (2022-04-13T17:29:50Z)
• Reducing the detection of genuine entanglement of n qubits to two qubits [0.0]
  We show that all of the projected states of a pure product n-qubit state are pure product states provided that it cannot be written as a product of a single qubit state. We also show that a pure n-qubit state is genuinely entangled provided that the state has at least two genuinely entangled (n-1)-qubit projected states.
  arXiv  Detail & Related papers  (2021-10-04T14:31:16Z)
• Detection and Classification of Three-qubit States Using $l_{1}$ Norm of Coherence [0.0]
  Recent research shows that quantum coherence may act as a useful resource in quantum information theory. We will employ here quantum coherence to detect and classify the entanglement property of three-qubit states.
  arXiv  Detail & Related papers  (2021-06-16T18:23:38Z)
• Unextendible entangled bases and more nonlocality with less entanglement [0.0]
  We show that the phenomenon of more nonlocality with less entanglement can be observed for two qubits, while still being at the single-copy level. The results are potentially useful for secure quantum communication technologies with an optimal amount of resources.
  arXiv  Detail & Related papers  (2021-03-16T15:33:44Z)
• Sum Uncertainty Relations: Uncertainty Regions for Qubits and Qutrits [0.0]
  We investigate the notion of uncertainty region using the variance based sum uncertainty relation for qubits and qutrits. We compare uncertainty region of the qubit with that of the qutrit by considering sum uncertainty relation for two non-commuting Pauli-like observables.
  arXiv  Detail & Related papers  (2021-01-27T16:58:35Z)
• Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality [24.90095858545252]
  Nonlocal quantum correlations among the quantum subsystems play essential roles in quantum science. We provide tight upper bounds on the maximal quantum value of the Svetlichny operators under local filtering operations. We investigate in detail two classes of three-qubit states whose hidden genuine nonlocalities can be revealed by local filtering.
  arXiv  Detail & Related papers  (2021-01-23T17:41:54Z)
• 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)
• Discrimination of Ohmic thermal baths by quantum dephasing probes [68.8204255655161]
  We evaluate the minimum error probability achievable by three different kinds of quantum probes, namely a qubit, a qutrit and a quantum register made of two qubits. A qutrit probe outperforms a qubit one in the discrimination task, whereas a register made of two qubits does not offer any advantage.
  arXiv  Detail & Related papers  (2020-08-06T08:51:51Z)

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.