Entanglement Distillation of some Rank-Five Symmetric NPT States in Two-Qutrit Systems

• URL: http://arxiv.org/abs/2608.03710v1
• Date: Tue, 04 Aug 2026 14:15:52 GMT
• Title: Entanglement Distillation of some Rank-Five Symmetric NPT States in Two-Qutrit Systems
• Abstract summary: We investigate the distillability properties of a class of two-qutrit symmetric states of rank five.<n>For the 2-distillability, we uncover a structural obstruction showing that no Schmidt-rank-two vector has a negative expectation in the relevant subspace.
• Score: 4.425493516489531
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Entanglement distillation is a fundamental task in quantum information processing. In this work, we investigate the distillability properties of a class of two-qutrit symmetric NPT states of rank five. We resolve the 1-distillability problem for this class by proving that the previously open interval of the eigenvalue parameter is 1-undistillable. For the 2-distillability, we uncover a structural obstruction showing that no Schmidt-rank-two vector has a negative expectation in the relevant subspace. We also perform numerical investigations to explore the 2-distillability beyond this obstruction.

Related papers

• Noise-robust 1-copy distillation protocol for all distillable Bell-diagonal qutrits [0.0]
  Entanglement distillation is the process of converting noisy entangled states into maximally entangled pure states.<n>We present a noise-robust scheme for entanglement distillation.<n>Our results make noisy entangled qutrit pairs more accessible for future quantum technologies.
  arXiv  Detail & Related papers  (2026-04-27T13:28:58Z)
• Entanglement distillation on symmetric two-qutrit entangled states of rank five [4.146329485823113]
  Entanglement distillation is a key step in quantum information, both theoretically and practically.<n>It has been proven that non-positive-partial transpose (NPT) entangled states of rank at most four is 1-distillable under local operation and classical communications.
  arXiv  Detail & Related papers  (2025-09-25T14:52:56Z)
• Eigenstate thermalization in spin-$\rac{1}{2}$ systems with SU(2) symmetry [0.0]
  We study the diagonal and off-diagonal matrix elements of observables in the eigenstates of the extended spin-$frac12$ Heisenberg chain.
  arXiv  Detail & Related papers  (2025-03-03T18:59:58Z)
• Unveiling NPT bound problem: From Distillability Sets to Inequalities and Multivariable Insights [5.902307331486972]
  Equivalence between Positive Partial Transpose (PPT) entanglement and bound entanglement is a long-standing open problem in quantum information theory. We propose a decomposition of the Nundi-Nundistillability verification verification.
  arXiv  Detail & Related papers  (2024-02-28T04:29:10Z)
• Adiabatic Shortcuts Completion in Quantum Field Theory: Annihilation of Created Particles [44.99833362998488]
  We investigate the completion of a nonadiabatic evolution into a shortcut to adiabaticity for a quantum field confined within a one-dimensional cavity containing two movable mirrors. We achieve a smooth extension of the Moore functions that implements the STA. We draw attention to the existence of a comparable problem within nonrelativistic quantum mechanics.
  arXiv  Detail & Related papers  (2023-08-25T14:19:21Z)
• Distillable entanglement under dually non-entangling operations [5.2178708158547025]
  We give an exact solution for entanglement distillation under the set of dually non-entangling (DNE) operations. We show that the DNE distillable entanglement with a modified version of the regularised relative entropy of entanglement in which the arguments are measured with a separable measurement.
  arXiv  Detail & Related papers  (2023-07-20T16:35:12Z)
• Entanglement distillation in terms of Schmidt rank and matrix rank [7.238541917115604]
  We distill non-positive-partial-transpose (NPT) bipartite states of some given Schmidt rank and matrix rank. We show that all bipartite states of Schmidt rank two are locally equivalent to classical-classical states, and all bipartite states of Schmidt rank three are 1-undistillable.
  arXiv  Detail & Related papers  (2023-04-12T01:50:21Z)
• Unconditional Wigner-negative mechanical entanglement with linear-and-quadratic optomechanical interactions [62.997667081978825]
  We propose two schemes for generating Wigner-negative entangled states unconditionally in mechanical resonators. We show analytically that both schemes stabilize a Wigner-negative entangled state that combines the entanglement of a two-mode squeezed vacuum with a cubic nonlinearity. We then perform extensive numerical simulations to test the robustness of Wigner-negative entanglement attained by approximate CPE states stabilized in the presence of thermal decoherence.
  arXiv  Detail & Related papers  (2023-02-07T19:00:08Z)
• Beyond the Edge of Stability via Two-step Gradient Updates [49.03389279816152]
  Gradient Descent (GD) is a powerful workhorse of modern machine learning. GD's ability to find local minimisers is only guaranteed for losses with Lipschitz gradients. This work focuses on simple, yet representative, learning problems via analysis of two-step gradient updates.
  arXiv  Detail & Related papers  (2022-06-08T21:32:50Z)
• Clean two-dimensional Floquet time-crystal [68.8204255655161]
  We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a spontaneously broken discrete time-translation symmetry. We observe a non-perturbative change in the decay rate of the order parameter, which is related to the long-lived stability of the magnetic domains in 2D.
  arXiv  Detail & Related papers  (2022-05-10T13:04:43Z)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• A multiconfigurational study of the negatively charged nitrogen-vacancy center in diamond [55.58269472099399]
  Deep defects in wide band gap semiconductors have emerged as leading qubit candidates for realizing quantum sensing and information applications. Here we show that unlike single-particle treatments, the multiconfigurational quantum chemistry methods, traditionally reserved for atoms/molecules, accurately describe the many-body characteristics of the electronic states of these defect centers.
  arXiv  Detail & Related papers  (2020-08-24T01:49:54Z)
• Finite Block Length Analysis on Quantum Coherence Distillation and Incoherent Randomness Extraction [64.04327674866464]
  We introduce a variant of randomness extraction framework where free incoherent operations are allowed before the incoherent measurement. We show that the maximum number of random bits extractable from a given quantum state is precisely equal to the maximum number of coherent bits that can be distilled from the same state. Remarkably, the incoherent operation classes all admit the same second order expansions.
  arXiv  Detail & Related papers  (2020-02-27T09:48:52Z)

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.