Bipartite mixed states as quantum teleportation channels studied under coherent and incoherent basis

• URL: http://arxiv.org/abs/2206.08074v1
• Date: Thu, 16 Jun 2022 10:40:49 GMT
• Title: Bipartite mixed states as quantum teleportation channels studied under coherent and incoherent basis
• Authors: Sovik Roy, Anushree Bhattacharjee, Chandrashekar Radhakrishnan, Md. Manirul Ali, Biplab Ghosh
• Abstract summary: We show that the right choice of basis to be used to estimate coherence is the separable basis. We compute the entanglement and quantum coherence in the two qubit mixed states prepared using the Bell states and one of the state from the computational basis. We then calculate the teleportation of these mixed states and find the regions where the states have a fidelity greater than the classical teleportation fidelity.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum coherence and quantum entanglement are two different manifestations of the superposition principle. In this article we show that the right choice of basis to be used to estimate coherence is the separable basis. The quantum coherence estimated using the Bell basis does not represent the coherence in the system, since there is a coherence in the sytem due to the choice of the basis state. We first compute the entanglement and quantum coherence in the two qubit mixed states prepared using the Bell states and one of the state from the computational basis. The quantum coherence is estimated using the l1-norm of coherence, the entanglement is measured using the concurrence and the mixedness is measured using the linear entropy. Then we estimate these quantities in the Bell basis and establish that coherence should be measured only in separable basis, whereas entanglement and mixedness can be measured in any basis. We then calculate the teleportation of these mixed states and find the regions where the states have a fidelity greater than the classical teleportation fidelity. We also examine the violation of the Bell-CHSH inequality to verify the quantum nonlocal correlations in the system. The estimation of the above mentioned quantum correlations, teleportation fidelity and the verification of Bell-CHSH inequality is also done for bipartite states obtained from the tripartite systems by the tracing out of one of their qubits. We find that for some of these states teleportation is possible even when the Bell-CHSH inequality is not violated, signifying that nonlocality is not a necessary condition for quantum teleportation.

Related papers

• Nonlocal Advantages of Quantum Imaginarity [1.829179623372777]
  We establish a connection between the imaginarity and quantum nonlocality in any two-qubit states. We show that any two-qubit state with NAQI is quantum steerable, but not the vice-versa.
  arXiv  Detail & Related papers  (2024-11-06T02:49:45Z)
• A computational test of quantum contextuality, and even simpler proofs of quantumness [43.25018099464869]
  We show that an arbitrary contextuality game can be compiled into an operational "test of contextuality" involving a single quantum device. Our work can be seen as using cryptography to enforce spatial separation within subsystems of a single quantum device.
  arXiv  Detail & Related papers  (2024-05-10T19:30:23Z)
• Optimizing Fictitious States for Bell Inequality Violation in Bipartite Qubit Systems [5.151248813215795]
  We show that if Bell inequality violation is observed with a fictitious state, then it implies the same for a quantum sub-state. We further show analytically that the basis which diagonalizes the spin-spin correlations is optimal for constructing fictitious states.
  arXiv  Detail & Related papers  (2023-11-15T18:05:44Z)
• (Almost-)Quantum Bell Inequalities and Device-Independent Applications [3.7482527016282963]
  We present families of (almost)quantum Bell inequalities and highlight three foundational and DI applications. We derive quantum Bell inequalities that show a separation of the quantum boundary from certain portions of the no-signaling boundary of dimension up to 4k-8. We provide the most precise characterization of the quantum boundary known so far.
  arXiv  Detail & Related papers  (2023-09-12T15:13:02Z)
• Bell inequalities with overlapping measurements [52.81011822909395]
  We study Bell inequalities where measurements of different parties can have overlap. This allows to accommodate problems in quantum information. The scenarios considered show an interesting behaviour with respect to Hilbert space dimension, overlap, and symmetry.
  arXiv  Detail & Related papers  (2023-03-03T18:11:05Z)
• Simulating Entanglement beyond Quantum Steering [15.808504285017948]
  We quantify the resource content of such states in terms of how much shared randomness is needed to simulate their behavior. We rigorously show that the shared randomness cost is unbounded even for some two-qubit unsteerable states.
  arXiv  Detail & Related papers  (2023-02-17T18:52:33Z)
• Facets of nonlocal correlation under non-Hermitian system [1.2730778556149887]
  We study the quantum correlation of the bipartite system quantified by the entanglement, measurement-induced nonlocality (MIN) based on Hilbert-Schmidt norm, trace distance, and Bell inequality. Our results show that the trace distance-based correlation is more robust against the nonunitary evolution compared to the other quantifiers.
  arXiv  Detail & Related papers  (2021-08-25T04:31:45Z)
• Robust phase estimation of Gaussian states in the presence of outlier quantum states [21.22196305592545]
  We first present a statistical framework of robust statistics in a quantum system to handle outlier quantum states. We then apply the method of M-estimators to suppress untrusted measurement outcomes due to outlier quantum states.
  arXiv  Detail & Related papers  (2020-08-05T04:57:02Z)
• Entanglement as upper bounded for the nonlocality of a general two-qubit system [16.676050048472963]
  We systematically investigate the relationship between entanglement and nonlocality of a general two-qubit system. We find that the nonlocality of two different two-qubit states can be optimally stimulated by the same nonlocality test setting.
  arXiv  Detail & Related papers  (2020-04-17T16:42:27Z)
• Jumptime unraveling of Markovian open quantum systems [68.8204255655161]
  We introduce jumptime unraveling as a distinct description of open quantum systems. quantum jump trajectories emerge, physically, from continuous quantum measurements. We demonstrate that quantum trajectories can also be ensemble-averaged at specific jump counts.
  arXiv  Detail & Related papers  (2020-01-24T09:35:32Z)
• Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality [0.0]
  We show that any set of measurements not jointly measurable can be used for demonstrating quantum nonlocality. We also discuss the connection between Bell nonlocality and joint measurability, and give evidence that both notions are inequivalent.
  arXiv  Detail & Related papers  (2014-06-26T18:45:13Z)

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.