Swapping of quantum correlations and the role of local filtering operations

• URL: http://arxiv.org/abs/2307.16524v1
• Date: Mon, 31 Jul 2023 09:46:46 GMT
• Title: Swapping of quantum correlations and the role of local filtering operations
• Authors: Pedro Rosario, Andr\'es F. Ducuara, Cristian E. Susa
• Abstract summary: We address the swapping of various quantum correlation measures including: Bell-nonlocality, EPR-steering, usefulness for teleportation, entanglement, quantum obesity, as well as the effect that local filtering operations have on the swapping of such correlations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We address the swapping of various quantum correlation measures including: Bell-nonlocality, EPR-steering, usefulness for teleportation, entanglement, quantum obesity, as well as the effect that local filtering operations have on the swapping of such correlations. In the first part of this work we address the raw swapping protocol (i. e. without local filtering) and our findings are as follows. First, using the Bloch representation of quantum states, we show that all of the above properties of a general quantum state can fully be preserved whenever the state is swapped together with arbitrary combinations of Bell states and Bell measurements. This generalises a result shown for the concurrence of states in the X-form. Second, we derive an explicit formula for the quantum obesity of the final post-swapping state in terms of the obesity of general input states and measurements, and therefore establishing the limit at which obesity can be swapped. In the second part we address the effect of local filtering operations on the swapping of quantum correlations. Specifically, we explore whether experimentalists should implement local filters before or after the swapping protocol takes place, so in order to maximize the final amount of correlations. In this regard, we first show that these two scenarios are equivalent for the family of Bell-diagonal states, for all of the above-mentioned quantum correlations. We then prove that applying local filters first can be more efficient when considering the strictly larger family of almost Bell-diagonal states, with the quantum obesity as the test property. Finally, we provide numerical evidence for this latter phenomenon (local filtering first is more efficient) holding true for general two-qubit states in the X-form, for all of the above-mentioned quantum correlations.

Related papers

• Optimal quantum state tomography with local informationally complete measurements [25.33379738135298]
  We study whether a general MPS/MPDO state can be recovered with bounded errors using only a number of state copies in the number of qubits. We provide a positive answer for a variety of common many-body quantum states, including typical short-range entangled states, random MPS/MPDO states, and thermal states of one-dimensional Hamiltonians.
  arXiv  Detail & Related papers  (2024-08-13T17:58:02Z)
• Locally inaccessible hidden quantum correlations [0.0]
  We prove, modulo a conjecture on quantum steering ellipsoids being true, the existence of the phenomenon of locally inaccessible hidden quantum correlations. We show examples of two-qubit states with locally inaccessible hidden quantum correlations and, furthermore, two-qubit states with locally inaccessible maximal hidden quantum correlations.
  arXiv  Detail & Related papers  (2024-06-06T10:43:39Z)
• Entanglement cost of discriminating quantum states under locality constraints [7.0937306686264625]
  We show that a pure state can be optimally discriminated against any other state with the assistance of a single Bell state. This study advances our understanding of the pivotal role played by entanglement in quantum state discrimination, serving as a crucial element in unlocking quantum data hiding against locally constrained measurements.
  arXiv  Detail & Related papers  (2024-02-28T16:16:50Z)
• Quantum Wasserstein distance based on an optimization over separable states [0.0]
  We find that the self-distance is related to the quantum Fisher information. We present a transport map corresponding to an optimal bipartite separable state.
  arXiv  Detail & Related papers  (2022-09-20T18:01:33Z)
• Bipartite mixed states as quantum teleportation channels studied under coherent and incoherent basis [0.0]
  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.
  arXiv  Detail & Related papers  (2022-06-16T10:40:49Z)
• A Quantum Optimal Control Problem with State Constrained Preserving Coherence [68.8204255655161]
  We consider a three-level $Lambda$-type atom subjected to Markovian decoherence characterized by non-unital decoherence channels. We formulate the quantum optimal control problem with state constraints where the decoherence level remains within a pre-defined bound.
  arXiv  Detail & Related papers  (2022-03-24T21:31:34Z)
• 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)
• Entanglement catalysis for quantum states and noisy channels [41.94295877935867]
  We investigate properties of entanglement and its role for quantum communication. For transformations between bipartite pure states, we prove the existence of a universal catalyst. We further develop methods to estimate the number of singlets which can be established via a noisy quantum channel.
  arXiv  Detail & Related papers  (2022-02-10T18:36:25Z)
• Interactive Protocols for Classically-Verifiable Quantum Advantage [46.093185827838035]
  "Interactions" between a prover and a verifier can bridge the gap between verifiability and implementation. We demonstrate the first implementation of an interactive quantum advantage protocol, using an ion trap quantum computer.
  arXiv  Detail & Related papers  (2021-12-09T19:00:00Z)
• Stochastic approximate state conversion for entanglement and general quantum resource theories [41.94295877935867]
  An important problem in any quantum resource theory is to determine how quantum states can be converted into each other. Very few results have been presented on the intermediate regime between probabilistic and approximate transformations. We show that these bounds imply an upper bound on the rates for various classes of states under probabilistic transformations. We also show that the deterministic version of the single copy bounds can be applied for drawing limitations on the manipulation of quantum channels.
  arXiv  Detail & Related papers  (2021-11-24T17:29:43Z)
• Entanglement swapping theory and beyond [0.09363323206192666]
  We show the general theory of entanglement swapping, through which one can get the final states after entanglement swapping. We consider entanglement swapping of 2-level maximally entangled states without limiting each subsystem to be in the same basis. We also study the entanglement swapping and entanglement swapping chains of mixed states, including X states and mixed maximally entangled states.
  arXiv  Detail & Related papers  (2020-09-05T15:44:21Z)

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.