Hamiltonian-Driven Architectures for Non-Markovian Quantum Reservoir Computing

• URL: http://arxiv.org/abs/2505.14450v1
• Date: Tue, 20 May 2025 14:50:54 GMT
• Title: Hamiltonian-Driven Architectures for Non-Markovian Quantum Reservoir Computing
• Authors: Daiki Sasaki, Ryosuke Koga, Taihei Kuroiwa, Yuya Ito, Chih-Chieh Chen, Tomah Sogabe,
• Abstract summary: We propose a Hamiltonian-level framework for non-Markovian quantum reservoir computing.<n>We show that operating in non-Markovian regimes yields significantly slower memory decay compared to the Markovian limit.<n>We experimentally show that, with an appropriate time-evolution step size, the non-Markovian reservoir exhibits superior performance on higher-order nonlinear autoregressive moving-average tasks.
• Score: 0.16492989697868887
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a Hamiltonian-level framework for non-Markovian quantum reservoir computing directly tailored for analog hardware implementations. By dividing the reservoir into a system block and an environment block and evolving their joint state under a unified Hamiltonian, our architecture naturally embeds memory backflow by harnessing entanglement-induced information backflow with tunable coupling strengths. Numerical benchmarks on short-term memory tasks demonstrate that operating in non-Markovian regimes yields significantly slower memory decay compared to the Markovian limit. Further analyzing the echo-state property (ESP), showing that the non-Markovian quantum reservoir evolves from two different initial states, they do not converge to the same trajectory even after a long time, strongly suggesting that the ESP is effectively violated. Our work provides the first demonstration in quantum reservoir computing that strong non-Markovianity can fundamentally violate the ESP, such that conventional linear-regression readouts fail to deliver stable training and inference. Finally, we experimentally showed that, with an appropriate time-evolution step size, the non-Markovian reservoir exhibits superior performance on higher-order nonlinear autoregressive moving-average(NARMA) tasks.

Related papers

• MPQ-DMv2: Flexible Residual Mixed Precision Quantization for Low-Bit Diffusion Models with Temporal Distillation [74.34220141721231]
  We present MPQ-DMv2, an improved textbfMixed textbfPrecision textbfQuantization framework for extremely low-bit textbfDiffusion textbfModels.
  arXiv  Detail & Related papers  (2025-07-06T08:16:50Z)
• Minimal Quantum Reservoirs with Hamiltonian Encoding [72.27323884094953]
  We investigate a minimal architecture for quantum reservoir computing based on Hamiltonian encoding.<n>This approach circumvents many of the experimental overheads typically associated with quantum machine learning.
  arXiv  Detail & Related papers  (2025-05-28T16:50:05Z)
• Non-Markovianity and memory enhancement in Quantum Reservoir Computing [0.8437187555622164]
  We show that non-Markovian dynamics can overcome limitation, enabling extended memory retention.<n>We introduce an embedding approach that allows a controlled transition from Markovian to non-Markovian evolution.<n>Our results establish quantum non-Markovianity as a key resource for enhancing memory in quantum machine learning architectures.
  arXiv  Detail & Related papers  (2025-05-05T09:17:08Z)
• Fourier Neural Operators for Learning Dynamics in Quantum Spin Systems [77.88054335119074]
  We use FNOs to model the evolution of random quantum spin systems. We apply FNOs to a compact set of Hamiltonian observables instead of the entire $2n$ quantum wavefunction.
  arXiv  Detail & Related papers  (2024-09-05T07:18:09Z)
• Optimal Superdense Coding Capacity in the Non-Markovian Regime [0.0]
  Superdense coding is a significant technique widely used in quantum information processing. We propose a model to evaluate the effect of backflow information in a superdense coding protocol through a non-Markovian dynamics.
  arXiv  Detail & Related papers  (2024-08-20T13:36:01Z)
• Simulating Non-Markovian Open Quantum Dynamics with Neural Quantum States [9.775774445091516]
  We encode environmental memory in dissipatons, yielding the dissipaton-embedded quantum master equation (DQME)<n>The resulting NQS-DQME framework achieves compact representation of many-body correlations and non-Markovian memory.<n>This methodology opens new paths to explore non-Markovian open quantum dynamics in previously intractable systems.
  arXiv  Detail & Related papers  (2024-04-17T06:17:08Z)
• Edge modes and symmetry-protected topological states in open quantum systems [0.0]
  Topological order offers possibilities for processing quantum information which can be immune to imperfections.<n>We utilize this robustness against a wide class of dissipation channels in the Lindblad and quantum formalisms of an open quantum system.<n>Our work thus proposes a novel framework to study the dynamics of dissipative SPT phases and opens the possibility of engineering entangled states relevant to quantum information processing.
  arXiv  Detail & Related papers  (2023-10-13T21:09:52Z)
• Dynamically Emergent Quantum Thermodynamics: Non-Markovian Otto Cycle [49.1574468325115]
  We revisit the thermodynamic behavior of the quantum Otto cycle with a focus on memory effects and strong system-bath couplings. Our investigation is based on an exact treatment of non-Markovianity by means of an exact quantum master equation.
  arXiv  Detail & Related papers  (2023-08-18T11:00:32Z)
• Edge of stability echo state networks [5.888495030452654]
  Echo State Networks (ESNs) are time-series processing models working under the Echo State Property (ESP) principle. We introduce a new ESN architecture, called the Edge of Stability Echo State Network (ES$2$N)
  arXiv  Detail & Related papers  (2023-08-05T15:49:25Z)
• Quantum Gate Optimization for Rydberg Architectures in the Weak-Coupling Limit [55.05109484230879]
  We demonstrate machine learning assisted design of a two-qubit gate in a Rydberg tweezer system. We generate optimal pulse sequences that implement a CNOT gate with high fidelity. We show that local control of single qubit operations is sufficient for performing quantum computation on a large array of atoms.
  arXiv  Detail & Related papers  (2023-06-14T18:24:51Z)
• Machine learning in and out of equilibrium [58.88325379746631]
  Our study uses a Fokker-Planck approach, adapted from statistical physics, to explore these parallels. We focus in particular on the stationary state of the system in the long-time limit, which in conventional SGD is out of equilibrium. We propose a new variation of Langevin dynamics (SGLD) that harnesses without replacement minibatching.
  arXiv  Detail & Related papers  (2023-06-06T09:12:49Z)
• Dissipation as a resource for Quantum Reservoir Computing [3.4078654008228924]
  We show the potential enhancement induced by dissipation in the field of quantum reservoir computing. Our approach based on continuous dissipation is able not only to reproduce the dynamics of previous proposals of quantum reservoir computing.
  arXiv  Detail & Related papers  (2022-12-22T23:30:07Z)
• Preserving quantum correlations and coherence with non-Markovianity [50.591267188664666]
  We demonstrate the usefulness of non-Markovianity for preserving correlations and coherence in quantum systems. For covariant qubit evolutions, we show that non-Markovianity can be used to preserve quantum coherence at all times.
  arXiv  Detail & Related papers  (2021-06-25T11:52:51Z)
• Continuous and time-discrete non-Markovian system-reservoir interactions: Dissipative coherent quantum feedback in Liouville space [62.997667081978825]
  We investigate a quantum system simultaneously exposed to two structured reservoirs. We employ a numerically exact quasi-2D tensor network combining both diagonal and off-diagonal system-reservoir interactions with a twofold memory for continuous and discrete retardation effects. As a possible example, we study the non-Markovian interplay between discrete photonic feedback and structured acoustic phononovian modes, resulting in emerging inter-reservoir correlations and long-living population trapping within an initially-excited two-level system.
  arXiv  Detail & Related papers  (2020-11-10T12:38:35Z)

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.