A Reinforcement Learning Approach to the Design of Quantum Chains for Optimal Energy Transfer

• URL: http://arxiv.org/abs/2402.07561v1
• Date: Mon, 12 Feb 2024 10:54:57 GMT
• Title: A Reinforcement Learning Approach to the Design of Quantum Chains for Optimal Energy Transfer
• Authors: S. Sgroi, G. Zicari, A. Imparato, and M. Paternostro
• Abstract summary: We assume distance-dependent interactions among particles arranged in a chain under tight-binding conditions. We formulate the problem of finding the optimal locations and numbers of particles as a Markov Decision Process. We are able to achieve extremely high excitation transfer in all cases, with different chain configurations and properties depending on the specific conditions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a bottom-up approach, based on Reinforcement Learning, to the design of a chain achieving efficient excitation-transfer performances. We assume distance-dependent interactions among particles arranged in a chain under tight-binding conditions. Starting from two particles and a localised excitation, we gradually increase the number of constitutents of the system so as to improve the transfer probability. We formulate the problem of finding the optimal locations and numbers of particles as a Markov Decision Process: we use Proximal Policy Optimization to find the optimal chain-building policies and the optimal chain configurations under different scenarios. We consider both the case in which the target is a sink connected to the end of the chain and the case in which the target is the right-most particle in the chain. We address the problem of disorder in the chain induced by particle positioning errors. We are able to achieve extremely high excitation transfer in all cases, with different chain configurations and properties depending on the specific conditions.

Related papers

• Quantum Annealers Chain Strengths: A Simple Heuristic to Set Them All [0.0]
  Solving problems that do not directly map the chip topology remains challenging for quantum computers. The creation of logical qubits as sets of interconnected physical qubits overcomes limitations imposed by the sparsity of the chip. We show that densely connected logical qubits require a lower chain strength to maintain the ferromagnetic coupling.
  arXiv  Detail & Related papers  (2024-04-08T12:24:03Z)
• A Computational Framework for Solving Wasserstein Lagrangian Flows [48.87656245464521]
  In general, the optimal density path is unknown, and solving these variational problems can be computationally challenging. We propose a novel deep learning based framework approaching all of these problems from a unified perspective. We showcase the versatility of the proposed framework by outperforming previous approaches for the single-cell trajectory inference.
  arXiv  Detail & Related papers  (2023-10-16T17:59:54Z)
• Logical qubit implementation for quantum annealing: augmented Lagrangian approach [0.0]
  Solving optimization problems on quantum annealers usually requires each variable of the problem to be represented by a connected set of qubits. We propose an optimization-based approach for producing suitable logical qubits representations that results in smaller chain weights.
  arXiv  Detail & Related papers  (2023-01-29T08:45:36Z)
• Encoded State Transfer: Beyond the Uniform Chain [0.0]
  In a recent work, we showed that a uniformly coupled chain could be symmetrically extended by engineered spin chains. In this paper, we apply the same strategy to a much broader range of initial systems.
  arXiv  Detail & Related papers  (2022-07-25T13:25:34Z)
• Exact solution of a family of staggered Heisenberg chains with conclusive pretty good quantum state transfer [68.8204255655161]
  We work out the exact solutions in the one-excitation subspace. We present numerical evidence that pretty good transmission is achieved by chains whose length is not a power of two.
  arXiv  Detail & Related papers  (2022-06-28T18:31:09Z)
• Localisation determines the optimal noise rate for quantum transport [68.8204255655161]
  Localisation and the optimal dephasing rate in 1D chains are studied. A simple power law captures the interplay between size-dependent and size-independent responses. Relationship continues to apply at intermediate and high temperature but breaks down in the low temperature limit.
  arXiv  Detail & Related papers  (2021-06-23T17:52:16Z)
• Pretty good quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings [68.8204255655161]
  We consider chains with isotropic and anisotropic Heisenberg Hamiltonian with up to 100 spins. We consider short transferred times, in particular shorter than those achievable with known time-dependent control schemes.
  arXiv  Detail & Related papers  (2021-01-08T19:32:10Z)
• Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit [1.1470070927586016]
  We show that an optimal working point emerges in the dependence of the stationary current on the coupling between the chain and the reservoirs. We show that the optimal working point is robust against localized defects of the chain, as well as against a limited amount of quenched disorder.
  arXiv  Detail & Related papers  (2020-10-09T12:47:15Z)
• Controlled quantum state transfer in $XX$ spin chains at the Quantum Speed Limit [62.997667081978825]
  In homogeneous chains it implies that taking information from one extreme of the chain to the other will take a time $O(N/2)$, where $N$ is the chain length. We design control pulses that achieve near perfect population transfer between the extremes of the chain at times on the order of $N/2$, or larger.
  arXiv  Detail & Related papers  (2020-05-15T23:10:19Z)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)

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.