Operational connection between predictability and entanglement in entanglement swapping from partially entangled pure states

• URL: http://arxiv.org/abs/2203.01281v2
• Date: Thu, 8 Sep 2022 14:35:36 GMT
• Title: Operational connection between predictability and entanglement in entanglement swapping from partially entangled pure states
• Abstract summary: We show that the predictability of the pre-measurement one-qubit density matrix is directly related to the probability of the partially entangled component of the post-measurement state. In the cases where the entanglement increases after a Bell-basis measurement, the predictability is consumed when compared to the initially prepared state.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Complementarity and entanglement are fundamental features of Quantum Mechanics that were recently related in triality equalities that involve quantum coherence, the wave aspect of a qubit, and quantum predictability and quantum entanglement, the particle aspect of a qubit. In this article, we give an operational connection between redictability and entanglement in entanglement swapping from initially partially entangled states. For this, we show that the predictability of the pre-measurement one-qubit density matrix is directly related to the probability of the partially entangled component of the post-measurement state. Going even further, we analyze the entanglement swapping for partially entangled states in the light of complementarity relations and show that, in the cases where the entanglement increases after a Bell-basis measurement, the predictability is consumed when compared to the initially prepared state.

Related papers

• Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation [0.0]
  We introduce a basis-dependent predictability defined by the Bures distance between the state dephased in the chosen basis and the maximally mixed state.<n>We derive a trade-off relation between the predictability and a coherence measure defined based on the nonclassicality of the Kirkwood--Dirac quasiprobability.<n>Remarkably, this wave--particle duality relation endows the coherence measure with an operational interpretation as the classically irreducible part of measurement.
  arXiv  Detail & Related papers  (2026-07-21T05:43:59Z)
• Tighter entropic uncertainty relations in the presence of quantum memories for complete sets of mutually unbiased bases [25.094962102120178]
  We propose more stringent quantum-memory-assisted entropic uncertainty relations for complete sets of mutually unbiased bases in multipartite scenarios.<n>We present lower and upper bounds of the quantum uncertainties based on the complementarity of the observables, the purity of the measured state, the (conditional) von-Neumann entropies, the Holevo quantities and mutual information.
  arXiv  Detail & Related papers  (2026-04-05T06:23:10Z)
• Measurement-induced crossover in quantum first-detection times [39.98742834565653]
  We show that the measurement back action intrinsic to quantum mechanics may profoundly alter the system dynamics.<n>For a quantum particle in one spatial dimension subject to stroboscopic measurements, we observe an algebraic decay of the probability of the first-detection time if the particle is free.<n>This crossover reflects the purely quantum nature of the detection process, which fundamentally distinguishes it from the first-passage problem in classical systems.
  arXiv  Detail & Related papers  (2026-01-17T16:48:07Z)
• Freeness Reined in by a Single Qubit [36.94429692322632]
  We find that, even in this setting, the correlation functions predicted by free probability theory receive corrections of order $O(1)$.<n>We trace their origin to non-uniformly distributed stationary quantum states, which we characterize analytically and confirm numerically.
  arXiv  Detail & Related papers  (2025-12-15T19:00:09Z)
• Entanglement swapping for partially entangled qudits and the role of quantum complementarity [0.0]
  We show that the average distributed entanglement between two parties via ESP is bounded above by the initial entanglement of one of the input pairs.<n>We discuss the role of quantum complementarity in the ESP and show how local predictability constrains the entanglement that can be operationally distributed via ESP.
  arXiv  Detail & Related papers  (2025-08-01T17:46:49Z)
• Tightening the entropic uncertainty relations with quantum memory in a multipartite scenario [17.30562902622871]
  We introduce a tripartite quantum-memory-assisted entropic uncertainty relation.<n>We extend the relation to encompass multiple measurements conducted within multipartite systems.
  arXiv  Detail & Related papers  (2025-01-06T09:09:34Z)
• Partial confinement in a quantum-link simulator [25.949731736282295]
  We show that the spin-1 quantum link model provides an excellent platform for exploring partial confinement. We conduct a comprehensive investigation of the physics emerging from partial confinement in both the context of equilibrium and non-equilibrium dynamics. Our work offers a simple and feasible routine for the study of confinement-related physics in the state-of-the-art artificial quantum systems.
  arXiv  Detail & Related papers  (2024-04-28T06:55:08Z)
• Effect of the readout efficiency of quantum measurement on the system entanglement [44.99833362998488]
  We quantify the entanglement for a particle on a 1d quantum random walk under inefficient monitoring. We find that the system's maximal mean entanglement at the measurement-induced quantum-to-classical crossover is in different ways by the measurement strength and inefficiency.
  arXiv  Detail & Related papers  (2024-02-29T18:10:05Z)
• Monogamy and tradeoff relations for wave-particle duality information [0.0]
  We show that the information content of a quantum system is nothing but the Hilbert-Schmidt distance between the state of the quantum system and the maximally mixed state. We then employ the quantum Pinsker's inequality and the reverse Pinsker's inequality to derive a new complementarity and a reverse complementarity relation between the single-party information content and the entanglement present in a bipartite quantum system in a pure state.
  arXiv  Detail & Related papers  (2024-01-02T15:03:55Z)
• Quantification of Entanglement and Coherence with Purity Detection [16.01598003770752]
  Entanglement and coherence are fundamental properties of quantum systems, promising to power near future quantum technologies. Here, we demonstrate quantitative bounds to operationally useful entanglement and coherence. Our research offers an efficient means of verifying large-scale quantum information processing.
  arXiv  Detail & Related papers  (2023-08-14T11:03:40Z)
• Quantum coherence and the principle of microscopic reversibility [0.0]
  We study the implications of our findings in the framework of a qubit system interacting with a thermal reservoir. Our results show that the influence of coherence is more decisive at low temperatures.
  arXiv  Detail & Related papers  (2023-07-17T19:22:46Z)
• Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure [49.1574468325115]
  We study the entanglement of a single particle under continuous measurements. We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
  arXiv  Detail & Related papers  (2023-04-06T09:45:11Z)
• Anticipative measurements in hybrid quantum-classical computation [68.8204255655161]
  We present an approach where the quantum computation is supplemented by a classical result. Taking advantage of its anticipation also leads to a new type of quantum measurements, which we call anticipative. In an anticipative quantum measurement the combination of the results from classical and quantum computations happens only in the end.
  arXiv  Detail & Related papers  (2022-09-12T15:47:44Z)
• Entanglement and Quantum Correlation Measures from a Minimum Distance Principle [0.0]
  Entanglement, and quantum correlation, are precious resources for quantum technologies implementation based on quantum information science. We derive an explicit measure able to quantify the degree of quantum correlation for pure or mixed multipartite states. We prove that our entanglement measure is textitfaithful in the sense that it vanishes only on the set of separable states.
  arXiv  Detail & Related papers  (2022-05-14T22:18:48Z)
• Entanglement-interference complementarity and experimental demonstration in a superconducting circuit [13.591959156678946]
  Quantum entanglement between an interfering particle and a detector for acquiring the which-path information plays a central role for enforcing Bohr's complementarity principle. Here we find an equality for quantifying the relation between this entanglement and the fringe visibility. We experimentally demonstrate this relation with a superconducting circuit, where a resonator serves as a which-path detector for an interfering qubit.
  arXiv  Detail & Related papers  (2022-03-13T02:49:11Z)
• Quantum coherence with incomplete set of pointers and corresponding wave-particle duality [0.0]
  Quantum coherence quantifies the amount of superposition in a quantum system. We develop the corresponding resource theory, identifying the free states and operations. We obtain a complementarity relation between the so-defined quantum coherence and the which-path information in an interferometric set-up.
  arXiv  Detail & Related papers  (2021-08-12T16:55:40Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Intrinsic decoherence effects on measurement-induced nonlocality [1.5630592429258865]
  We study the dynamics of entanglement quantified by the concurrence and measurement-induced nonlocality (MIN) based on Hilbert-Schmidt norm. We show that the existence of quantum correlation captured by MIN in the unentangled state.
  arXiv  Detail & Related papers  (2020-05-13T16:18:25Z)
• Quantifying the unextendibility of entanglement [13.718093420358827]
  Entanglement is a striking feature of quantum mechanics, and it has a key property called unextendibility. We present a framework for quantifying and investigating the unextendibility of general bipartite quantum states.
  arXiv  Detail & Related papers  (2019-11-18T05:22:36Z)

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.