Opposite post-processing orders of fermionic horizon channels and their quantum-resource monotonicity

• URL: http://arxiv.org/abs/2608.08215v1
• Date: Sat, 08 Aug 2026 16:22:31 GMT
• Title: Opposite post-processing orders of fermionic horizon channels and their quantum-resource monotonicity
• Abstract summary: We formulate the effective single-mode fermionic horizon transformation as a pair of complementary exterior and interior quantum channels.<n>As the relativistic channel parameter $q$ increases, the exterior channel becomes progressively degraded, whereas the interior channel is ordered in the reverse direction.<n>This framework applies to broad classes of quantum resources and correlations, including entanglement and occupation-basis coherence monotones, Bell-functional quantities, and contractive-divergence correlation measures.
• Score: 4.0654886994943205
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Relativistic quantum-information studies in noninertial and black-hole settings often determine resource behavior through explicit calculations for particular input states and state functionals, leaving unclear whether the recurring monotonic trends originate from those choices or from a common underlying structure. In this work, we formulate the effective single-mode fermionic horizon transformation as a pair of complementary exterior and interior quantum channels, corresponding respectively to the physically accessible and inaccessible sectors, and establish exact post-processing orders in opposite directions. As the relativistic channel parameter $q$ increases, the exterior channel becomes progressively degraded, whereas the interior channel is ordered in the reverse direction. These relations extend to arbitrary multipartite settings. Consequently, every state functional that is non-increasing under the corresponding intermediate maps is non-increasing in homogeneous exterior sectors and non-decreasing in homogeneous interior sectors. The framework therefore applies to broad classes of quantum resources and correlations, including entanglement and occupation-basis coherence monotones, optimized Bell-functional quantities, and contractive-divergence correlation measures. We further numerically evaluate collective coherence based on the quantum Jensen-Shannon divergence (QJSD) in the Garfinkle-Horowitz-Strominger (GHS) dilaton-black-hole spacetime, illustrating the predicted homogeneous monotonicity. The recurring trends are therefore traced to a common channel-ordering structure, while the physical setting determines the parameterization of $q$ and the resource-theoretic monotonicity determines which output-state quantities inherit the order.

Related papers

• Correlation and Branching Mechanisms in the Quantum-to-Classical Transition of Interacting Systems [0.0]
  Bohmian trajectories are used as a diagnostic of the probability flow generated by the full wavefunction.<n>Three models are used to isolate distinct mechanisms.
  arXiv  Detail & Related papers  (2026-09-14T03:47:10Z)
• Non-Hermitian topology in driven-dissipative systems: correspondence with quantum correlations and a resource for entanglement [0.0]
  We show that non-trivial topology produces correlations that grow exponentially with the distance between modes.<n> Entanglement remains local, set by the competition between normalised anomalous correlations and the asymmetry of the mode occupations.<n>Our work prepares the ground for exploring the quantum properties of non-Hermitian topological systems with state-of-the-art platforms.
  arXiv  Detail & Related papers  (2026-09-08T18:03:52Z)
• Floquet-Resolved Dissipation Selects Entanglement Beyond Population Spectroscopy [41.99844472131922]
  We show that two dissipative descriptions of the same parametrically coupled qubits can yield closely similar period-averaged populations.<n>Both retain the complete periodically driven Hamiltonian, the same microscopic bath couplings, and the same physical observables.
  arXiv  Detail & Related papers  (2026-08-12T15:33:26Z)
• Bell nonlocality from twisted statistics [39.146761527401424]
  We investigate Bell correlations for a free real quantum scalar field on the noncommutative Moyal plane.<n>We show that suitable local mode measurements lead to a violation of the CHSH Bell inequality.
  arXiv  Detail & Related papers  (2026-08-06T17:55:50Z)
• Relational Quantum Causal Processes: Exact Models, Continuum Limits, and the Boundary of Emergent Gravity [0.875682288556859]
  We present a framework that separates established mechanisms, conditional compositions, and open assumptions.<n>CP-QG as a microscopic-indexed framework that separates established mechanisms, conditional compositions, and open assumptions.
  arXiv  Detail & Related papers  (2026-07-29T09:28:18Z)
• Relational path integral, effective actions and quantum frame covariance in gravity [0.0]
  We propose a relational bundle-geometric formulation of the gravitational path integral by invoking the new tool of quantum reference frames (QRFs)<n>Formulated in terms of correlat (frame-dressed) observables, this yields a manifestly gauge-invariant path integral without ghosts and anomalies.<n>It is equivalent to Faddeev-Popov versions in which the QRF is gauge-fixed, recovering certain previous proposals.
  arXiv  Detail & Related papers  (2026-07-23T16:07:02Z)
• Dynamical redistribution of quantum resources in tree-level Bhabha scattering [2.728572386373239]
  We investigate the tree-level Bhabha scattering process within the framework of quantum resource theory.<n>We show how QED kinematics and Feynman amplitudes strictly dictate resource redistribution.
  arXiv  Detail & Related papers  (2026-07-22T15:18:56Z)
• Hidden Gauge Freedom in Complex-Pole Hierarchical Equations of Motion [0.0]
  We report a previously unknown gauge freedom in complex-pole HEOM.<n>This gauge controls both the eigenspectrum and non-normality of the hierarchy generator.<n>We extend numerically exact simulations of sub-Ohmic dynamics to previously inaccessible coupling strengths.
  arXiv  Detail & Related papers  (2026-07-06T09:08:52Z)
• Cumulant-based quantum relative Rényi functional [0.0]
  We introduce a new cumulant-based quantum relative Rényi functional as a candidate quantum Rényi divergence.<n>The functional naturally admits a path-integral-like representation through the Lie-Trotter product expansion.<n>We show that the resulting relative quantumness quantity vanishes if and only if the underlying states commute.
  arXiv  Detail & Related papers  (2026-06-30T06:34:53Z)
• 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)
• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Random-Matrix-Induced Simplicity Bias in Over-parameterized Variational Quantum Circuits [72.0643009153473]
  We show that expressive variational ansatze enter a Haar-like universality class in which both observable expectation values and parameter gradients concentrate exponentially with system size.<n>As a consequence, the hypothesis class induced by such circuits collapses with high probability to a narrow family of near-constant functions.<n>We further show that this collapse is not unavoidable: tensor-structured VQCs, including tensor-network-based and tensor-hypernetwork parameterizations, lie outside the Haar-like universality class.
  arXiv  Detail & Related papers  (2026-01-05T08:04:33Z)
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices [37.69303106863453]
  Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by unitary dynamics and dissipation.<n>We show that the steady state is obtained by filling single-particle right eigenstates with the largest imaginary part of the eigenvalue.<n>We illustrate these principles in the Hatano-Nelson model with periodic boundary conditions and the non-Hermitian Su-Schrieffer-Heeger model.
  arXiv  Detail & Related papers  (2025-04-11T14:06:05Z)

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.