Quantum optimal control of the Dicke manifold in dipolar Rydberg atom arrays

• URL: http://arxiv.org/abs/2606.02283v2
• Date: Tue, 09 Jun 2026 22:29:13 GMT
• Title: Quantum optimal control of the Dicke manifold in dipolar Rydberg atom arrays
• Abstract summary: We study the ability to engineer and control quantum states of many-body systems.<n>For a register of $N$ qubits, the full Hilbert space dimension grows exponentially as $2N$.<n>We implement gradient ascent pulse engineering (GrAPE) on control schemes with little or no local addressing.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The ability to engineer and control quantum states of many-body systems is a central challenge in quantum information science. For a register of $N$ qubits, the full Hilbert space dimension grows exponentially as $2^N$, rendering generic state preparation and control infeasible without exploiting structure or symmetry. A particularly important and physically motivated restriction is to the fully symmetric subspace, spanned by the Dicke states, which are simultaneous eigenstates of collective spin $J=N/2$. Ensembles of Rydberg atoms interacting via electric dipoles in two-dimensional tweezer arrays form a promising platform for achieving such control. However, the finite range of dipole-dipole interactions poses a challenge to generating and controlling the Dicke manifold because the Hamiltonian incurs leakage from the computational subspace. To counteract this leakage, we perform quantum optimal control algorithms on a truncated Hilbert space according to our newly developed method of ``irrep distillation'' (IRD), which captures the process by which the symmetric subspace couples to leakage error-spaces, using only linear-scaling Hilbert dimension. We implement gradient ascent pulse engineering (GrAPE) on control schemes with little or no local addressing, to generate resourceful states like Greenberger-Horne-Zeilinger, Dicke, and extremal quantum states. We benchmark each scheme of IRD-GrAPE for its quantum speed limit (QSL), as well as exactly testing pulse fidelities on small system sizes and predicting fidelities using higher-order IRD on larger systems.

Related papers

• Deterministic Generation of Arbitrary Fock States via Resonant Subspace Engineering [9.529916381983394]
  We introduce resonant subspace engineering (RSE), a protocol that analytically confines the infinite-dimensional bosonic dynamics to a two-dimensional invariant subspace.<n>RSE achieves $O(n1/4)$ scaling in both evolution time and gate depth, showing a fundamental improvement over existing deterministic schemes.<n>RSE provides a scalable and analytically transparent framework for large-scale bosonic state engineering and gate synthesis.
  arXiv  Detail & Related papers  (2026-02-12T16:36:58Z)
• Engineering multi-mode bosonic squeezed states using Monte-Carlo optimization [0.1259953341639576]
  We develop a Monte-Carlo based optimization technique which can be used to efficiently engineer a Hamiltonian control-sequence for bosonic systems.<n>Specifically, we consider a Bose-Einstein condensate in an optical lattice, relevant for applications in gravimetry and gradiometry.<n>We show that in general, within the Hilbert space there is a finite, $mathcalO(1)$ measure of Hilbert space with an intermediate QFI scaling.
  arXiv  Detail & Related papers  (2025-11-19T19:01:02Z)
• Robust Control and Entanglement of Qudits in Neutral Atom Arrays [0.0]
  Quantum devices comprised of elementary components with more than two stable levels - so-called qudits - enrich the accessible Hilbert space.<n>No experimental demonstration of multi-qudit control has been achieved to date in neutral atom arrays.<n>We find an efficient implementation of single-qudit gates via the simultaneous driving of multiple transition frequencies.
  arXiv  Detail & Related papers  (2025-08-22T10:56:09Z)
• Scalable modular architecture for universal quantum computation [45.989522481082986]
  We show that it is sufficient to connect two qubit arrays that are evolution operator controllable by a single entangling two-qubit gate.<n>We illustrate the approach with two examples, consisting of 10, respectively 127 qubits, inspired by IBM quantum processors.
  arXiv  Detail & Related papers  (2025-07-19T16:45:47Z)
• Disordering a permutation symmetric system: revivals, thermalization and chaos [0.0]
  We study the effects of introducing a symmetry breaking disorder on the dynamics of a system invariant under particle permutation.<n>The disorder forces quantum states, confined to the $N+1$ dimensional completely symmetric space, to penetrate the exponentially large $2N$ dimensional Hilbert space of $N$ particles.<n>We find that there is robustness to disorder in the system, and this is a function of how chaotic the kicked top is.
  arXiv  Detail & Related papers  (2025-05-30T10:38:07Z)
• Gradient projection method for constrained quantum control [46.08419608239004]
  We adopt the Gradient Projection Method (GPM) to problems of quantum control.<n>The main advantage of the method is that it allows to exactly satisfy the bounds.<n>We apply the GPM to several examples including generation of one- and two-qubit gates and two-qubit Bell and Werner states.
  arXiv  Detail & Related papers  (2024-11-29T11:56:55Z)
• 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)
• Optimal State Manipulation for a Two-Qubit System Driven by Coherent and Incoherent Controls [77.34726150561087]
  State preparation is important for optimal control of two-qubit quantum systems. We exploit two physically different coherent control and optimize the Hilbert-Schmidt target density matrices.
  arXiv  Detail & Related papers  (2023-04-03T10:22:35Z)
• Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent and Incoherent Photons Found with Gradient Search [77.34726150561087]
  We consider an environment formed by incoherent photons as a resource for controlling open quantum systems via an incoherent control. We exploit a coherent control in the Hamiltonian and an incoherent control in the dissipator which induces the time-dependent decoherence rates.
  arXiv  Detail & Related papers  (2023-02-28T07:36:02Z)
• Multi-squeezed state generation and universal bosonic control via a driven quantum Rabi model [68.8204255655161]
  Universal control over a bosonic degree of freedom is key in the quest for quantum-based technologies. Here we consider a single ancillary two-level system, interacting with the bosonic mode of interest via a driven quantum Rabi model. We show that it is sufficient to induce the deterministic realization of a large class of Gaussian and non-Gaussian gates, which in turn provide universal bosonic control.
  arXiv  Detail & Related papers  (2022-09-16T14:18:53Z)
• Reachable sets for two-level open quantum systems driven by coherent and incoherent controls [77.34726150561087]
  We study controllability in the set of all density matrices for a two-level open quantum system driven by coherent and incoherent controls. For two coherent controls, the system is shown to be completely controllable in the set of all density matrices.
  arXiv  Detail & Related papers  (2021-09-09T16:14:23Z)
• Reachability in Controlled Markovian Quantum Systems: An Operator-Theoretic Approach [0.0]
  We show that for global and local switchable coupling to a temperature-zero bath one can generate every quantum state from every initial state up to arbitrary precision. We also present an inclusion for non-zero temperatures as a consequence of our results on d-majorization.
  arXiv  Detail & Related papers  (2020-12-07T07:43:03Z)

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.