Quantum Reciprocity: A Structured-Bath Hamiltonian for Coherent Amplification

• URL: http://arxiv.org/abs/2510.17572v1
• Date: Mon, 20 Oct 2025 14:21:32 GMT
• Title: Quantum Reciprocity: A Structured-Bath Hamiltonian for Coherent Amplification
• Abstract summary: We show that macroscopic coherence lives not in isolation, but in structured connection.<n>We numerically validate this principle by engineering a six-qubit structured bath to demonstrate controllable transitions from dissipation to amplification.<n>This architectural core serves as the foundation for a proposed multi-scale workflow to transform quantum noise into a design resource.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Macroscopic quantum amplifiers maintain coherence even while strongly coupled to their surroundings, demonstrating that coherence can be preserved through architecture rather than isolation. Here we derive a finite structured-bath Hamiltonian in which dissipation and feedback originate from the same microscopic couplings. The resulting self-energy {\Sigma}({\omega}) exhibits coupled real and imaginary parts whose evolution reproduces the breathing dynamics observed in Josephson quantum amplifiers. This establishes quantum reciprocity: macroscopic coherence lives not in isolation, but in structured connection. We numerically validate this principle by engineering a six-qubit structured bath to demonstrate controllable transitions from dissipation to amplification. This architectural core serves as the foundation for a proposed multi-scale workflow to transform quantum noise into a design resource, preserving coherence not through isolation but through architectural reciprocity.

Related papers

• Quantum Simulation of Strongly Correlated Fermion-Phonon Models in Circuit QED [33.77861374919934]
  Gate-based digital quantum simulations offer an exciting new paradigm for studying the many-body physics of strongly correlated systems.<n>We build quantum circuits for the Hubbard-Holstein and Yukawa-Sachdev-Ye-Kitaev models.<n>We develop measurement and variational protocols tailored to near-term superconducting quantum hardware.
  arXiv  Detail & Related papers  (2026-07-13T13:04:00Z)
• 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)
• Entanglement-facilitated macroscopic cluster formation in quantum many-body dynamics [42.89492957665636]
  We find that initial-state entanglement suppresses the proliferation of true-vacuum bubbles and stabilises macroscopic connected clusters.<n>Our results establish a connection between initial-state preparation and the preservation of global structures.
  arXiv  Detail & Related papers  (2026-05-21T18:21:14Z)
• Nonnormality and Dissipation in Markovian Quantum Dynamics: Implications for Quantum Simulation [0.0]
  We introduce a structural framework for Markovian open quantum systems.<n>We show that normal generators admit an exact decoupling between dissipative and norm-preserving dynamics.<n>We identify regimes controlled by a dimensionless ratio between nonnormality and dissipative strength, governing the onset of transient amplification.
  arXiv  Detail & Related papers  (2026-04-18T06:37:38Z)
• A Clockwork Quantum: Symmetry, Noise, and the Emergence of Quantum Order [0.0]
  Noise-induced synchronization and coherence protection in open quantum systems is studied.<n>We show that symmetry in the noise correlations acts as a control parameter, protecting symmetric or antisymmetric modes.<n>These insights offer a unifying view of synchronization in classical and quantum regimes.
  arXiv  Detail & Related papers  (2025-07-25T14:59:03Z)
• Programmable Exploration of Magnetic States in Lieb-Kagome Interpolated Lattices [44.99833362998488]
  A quantum annealer is used to simulate magnetic interactions in molecular qubit lattices inspired by experimentally realizable systems.<n>The annealer provides access to observables such as the static structure factor and magnetization over a wide parameter space.<n>This framework defines a modular and scalable paradigm for probing the limits of engineered quantum matter across chemistry, condensed matter, and quantum information science.
  arXiv  Detail & Related papers  (2025-07-24T21:47:54Z)
• Weak coupling limit for quantum systems with unbounded weakly commuting system operators [50.24983453990065]
  This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagnetic field or a reservoir formed by Fermi or Bose particles.<n>We derive in the weak coupling limit the reservoir statistics, which is determined by whose terms in the multi-point correlation functions of the reservoir are non-zero in the WCL.<n>We prove that the resulting reduced system dynamics converges to unitary dynamics with a modified Hamiltonian which can be interpreted as a Lamb shift to the original Hamiltonian.
  arXiv  Detail & Related papers  (2025-05-13T05:32:34Z)
• The Sound of Decoherence [0.0]
  This document serves as a companion to the corresponding audio visual simulations of these models available on the YouTube channel Open Quantum Sonification with the Python Codes on GitHub.
  arXiv  Detail & Related papers  (2024-12-22T14:55:25Z)
• Bath Dynamical Decoupling with a Quantum Channel [44.99833362998488]
  We find that bath dynamical decoupling works if and only if the kick is ergodic.<n>We study in which circumstances CPTP kicks on a mono-partite quantum system induce quantum Zeno dynamics with its Hamiltonian cancelled out.
  arXiv  Detail & Related papers  (2024-09-27T07:47:52Z)
• Quantum State Generation with Structure-Preserving Diffusion Model [33.108168285414195]
  This article considers the generative modeling of the (mixed) states of quantum systems. The key contribution is an algorithmic innovation that respects the physical nature of quantum states.
  arXiv  Detail & Related papers  (2024-04-09T14:21:51Z)
• Non-Hermiticity in quantum nonlinear optics through symplectic transformations [0.0]
  We show that second-quantised Hermitian Hamiltonians on the Fock space give rise to non-Hermitian effective Hamiltonians. We create a quantum optical scheme for simulating arbitrary non-unitary processes by way of singular value decomposition.
  arXiv  Detail & Related papers  (2023-10-06T18:41:46Z)
• Observation of multiple steady states with engineered dissipation [19.94001756170236]
  We introduce engineered noise into a one-dimensional ten-qubit superconducting quantum processor to emulate a generic many-body open quantum system. We find that the information saved in the initial state maintains in the steady state driven by the continuous dissipation on a five-qubit chain.
  arXiv  Detail & Related papers  (2023-08-25T08:06:44Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Non-Hermitian topological quantum states in a reservoir-engineered transmon chain [0.0]
  We show that a non-Hermitian quantum phase can be realized in a reservoir-engineered transmon chain. We show that genuine quantum effects are observable in this system via robust and slowly decaying long-range quantum entanglement of the topological end modes.
  arXiv  Detail & Related papers  (2022-10-06T15:21:21Z)
• Unification of Random Dynamical Decoupling and the Quantum Zeno Effect [68.8204255655161]
  We show that the system dynamics under random dynamical decoupling converges to a unitary with a decoupling error that characteristically depends on the convergence speed of the Zeno limit. This reveals a unification of the random dynamical decoupling and the quantum Zeno effect.
  arXiv  Detail & Related papers  (2021-12-08T11:41:38Z)
• Algebraic Compression of Quantum Circuits for Hamiltonian Evolution [52.77024349608834]
  Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware. We present an algorithm that compresses the Trotter steps into a single block of quantum gates. This results in a fixed depth time evolution for certain classes of Hamiltonians.
  arXiv  Detail & Related papers  (2021-08-06T19:38:01Z)
• Multidimensional dark space and its underlying symmetries: towards dissipation-protected qubits [62.997667081978825]
  We show that a controlled interaction with the environment may help to create a state, dubbed as em dark'', which is immune to decoherence. To encode quantum information in the dark states, they need to span a space with a dimensionality larger than one, so different states act as a computational basis. This approach offers new possibilities for storing, protecting and manipulating quantum information in open systems.
  arXiv  Detail & Related papers  (2020-02-01T15:57:37Z)

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.