Tighter entropic uncertainty relations in the presence of quantum memories for complete sets of mutually unbiased bases

• URL: http://arxiv.org/abs/2604.03990v1
• Date: Sun, 05 Apr 2026 06:23:10 GMT
• Title: Tighter entropic uncertainty relations in the presence of quantum memories for complete sets of mutually unbiased bases
• Abstract summary: 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.
• Score: 25.094962102120178
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entropic uncertainty relations provide an information-theoretic framework for quantifying the fundamental indeterminacy inherent in quantum mechanics. We propose more stringent quantum-memory-assisted entropic uncertainty relations for complete sets of mutually unbiased bases in multipartite scenarios. 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. The results are illustrated by several representative cases, showing that our bounds are tighter than and outperform previously existing bounds.

Related papers

• Hysteretic squashed entanglement in many-body quantum systems [42.085941481155295]
  Entanglement in many-body quantum systems is distributed across spatial regions.<n>We propose hysteretic entanglement $T_sq$, a conditional entanglement that measures the genuine quantum correlations between two subregions.<n>We show that $T_sq$ can detect genuine quantum correlations across both adjacent and long-range subsystems.
  arXiv  Detail & Related papers  (2026-03-10T17:00:49Z)
• Tight any-shot quantum decoupling [23.729027844524893]
  We prove a novel one-shot decoupling theorem formulated in terms of quantum entropy relative distance.<n>We show that this bound is ensemble-tight in quantum relative entropy distance.
  arXiv  Detail & Related papers  (2026-02-19T15:01:26Z)
• 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)
• Error exponents of quantum state discrimination with composite correlated hypotheses [40.82628972269358]
  We study the error exponents in quantum hypothesis testing between two sets of quantum states.<n>We introduce and compare two natural extensions of the quantum Hoeffding divergence and anti-divergence to sets of quantum states.
  arXiv  Detail & Related papers  (2025-08-18T13:04:06Z)
• A decision-theoretic approach to dealing with uncertainty in quantum mechanics [39.146761527401424]
  We provide a decision-theoretic framework for dealing with uncertainty in quantum mechanics.<n>We show that measurements play the role of acts with an uncertain outcome.<n>We discuss the mathematical implications of our findings.
  arXiv  Detail & Related papers  (2025-03-26T14:53:06Z)
• 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)
• Precision bounds for multiple currents in open quantum systems [37.69303106863453]
  We derivation quantum TURs and KURs for multiple observables in open quantum systems undergoing Markovian dynamics.<n>Our bounds are tighter than previously derived quantum TURs and KURs for single observables.<n>We also find an intriguing quantum signature of correlations captured by the off-diagonal element of the Fisher information matrix.
  arXiv  Detail & Related papers  (2024-11-13T23:38:24Z)
• Entropic uncertainty relations with quantum memory in a multipartite scenario [2.1320960069210484]
  We propose two complementary multipartite quantum-memory-assisted entropic uncertainty relations. Our lower bounds depend on values of complementarity of the observables,conditional von-Neumann entropies, Holevo quantities, and mutual information.
  arXiv  Detail & Related papers  (2023-07-25T01:42:15Z)
• Improved Quantum Algorithms for Fidelity Estimation [77.34726150561087]
  We develop new and efficient quantum algorithms for fidelity estimation with provable performance guarantees. Our algorithms use advanced quantum linear algebra techniques, such as the quantum singular value transformation. We prove that fidelity estimation to any non-trivial constant additive accuracy is hard in general.
  arXiv  Detail & Related papers  (2022-03-30T02:02:16Z)
• The tripartite quantum-memory-assisted entropic uncertainty relation and upper bound on shareability of quantum discord [0.0]
  The relation between entropic uncertainty relation and the shareability of quantum discord is studied. For a specific class of tripartite states, the obtained relation could be expressed as monogamy of quantum discord.
  arXiv  Detail & Related papers  (2021-07-27T08:29:05Z)
• Multiple uncertainty relation for accelerated quantum information [8.598192865991367]
  We demonstrate a relativistic protocol of an uncertainty game in the presence of localized fermionic quantum fields inside cavities. A novel lower bound for entropic uncertainty relations with multiple quantum memories is given in terms of the Holevo quantity.
  arXiv  Detail & Related papers  (2020-04-21T03:29:39Z)
• Improved tripartite uncertainty relation with quantum memory [5.43508370077166]
  Uncertainty principle is a striking and fundamental feature in quantum mechanics. In quantum information theory, this uncertainty principle is popularly formulized in terms of entropy. We present an improvement of tripartite quantum-memory-assisted entropic uncertainty relation.
  arXiv  Detail & Related papers  (2020-04-09T03:54:51Z)
• Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
  We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations. We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
  arXiv  Detail & Related papers  (2020-03-04T14:01:17Z)

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.