Constant Depth Digital-Analog Counterdiabatic Quantum Computing

• URL: http://arxiv.org/abs/2601.01154v1
• Date: Sat, 03 Jan 2026 10:55:08 GMT
• Title: Constant Depth Digital-Analog Counterdiabatic Quantum Computing
• Authors: Balaganchi A. Bhargava, Shubham Kumar, Anne-Maria Visuri, Paolo A. Erdman, Enrique Solano, Narendra N. Hegade,
• Abstract summary: We introduce a digital-analog quantum computing framework that enables counterdiabatic protocols to be implemented at constant circuit depth.<n>Counterdiabatic protocols suppress diabatic excitations in finite-time adiabatic evolution.<n>We show how this structure can be efficiently realized in a digital-analog setting using commutator product formulas.
• Score: 1.8923689868452591
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce a digital-analog quantum computing framework that enables counterdiabatic protocols to be implemented at constant circuit depth, allowing fast and resource-efficient quantum state preparation on current quantum hardware. Counterdiabatic protocols suppress diabatic excitations in finite-time adiabatic evolution, but their practical application is limited by the non-local structure of the required Hamiltonians and the resource overhead of fully digital implementations. Counterdiabatic terms can be expressed as truncated expansions of nested commutators of the adiabatic Hamiltonian and its parametric derivative. Here, we show how this algebraic structure can be efficiently realized in a digital-analog setting using commutator product formulas. Using native multi-qubit analog interactions augmented by local single-qubit rotations, this approach enables higher-order counterdiabatic protocols whose implementation requires a constant number of analog blocks for any fixed truncation order, independent of system size. We demonstrate the method for two-dimensional spin models and analyze the associated approximation errors. These results show that digital-analog quantum computing enables a qualitatively new resource scaling for counterdiabatic protocols and related quantum control primitives, with direct implications for quantum simulation, optimization, and algorithmic state preparation on current quantum devices.

Related papers

• Digital Quantum Simulation of the Holstein-Primakoff Transformation on Noisy Qubits [40.8066152850216]
  We study the digital quantum simulation of bosonic modes on a cloud-based superconducting quantum processor.<n>We examine the interplay between algorithmic and hardware-induced errors to identify optimal simulation parameters.
  arXiv  Detail & Related papers  (2026-02-19T20:14:04Z)
• Analog Quantum Phase Estimation with Single-Mode Readout [0.46040036610482665]
  Eigenvalue estimation is a central problem for demonstrating quantum advantage.<n>We present an analog quantum phase estimation protocol that extracts the eigenenergies of a target Hamiltonian.<n>Our results provide a resource-efficient and scalable framework for implementing quantum phase estimation in near-term quantum platforms.
  arXiv  Detail & Related papers  (2025-06-18T17:50:42Z)
• Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits [62.46800898243033]
  Recent progress in quantum learning theory prompts a question: can linear properties of a large-qubit circuit be efficiently learned from measurement data generated by varying classical inputs?<n>We prove that the sample complexity scaling linearly in $d$ is required to achieve a small prediction error, while the corresponding computational complexity may scale exponentially in d.<n>We propose a kernel-based method leveraging classical shadows and truncated trigonometric expansions, enabling a controllable trade-off between prediction accuracy and computational overhead.
  arXiv  Detail & Related papers  (2024-08-22T08:21:28Z)
• Efficient Quantum Circuits for Non-Unitary and Unitary Diagonal Operators with Space-Time-Accuracy trade-offs [1.0749601922718608]
  Unitary and non-unitary diagonal operators are fundamental building blocks in quantum algorithms.<n>We introduce a general approach to implement unitary and non-unitary diagonal operators with efficient-adjustable-depth quantum circuits.
  arXiv  Detail & Related papers  (2024-04-03T15:42:25Z)
• Cost of Emulating a Small Quantum Annealing Problem in the Circuit-Model [2.132100404617399]
  We show that the overhead of emulation is substantial even for a simple problem.<n>This supports using analog quantum computation for solving time-dependent Hamiltonian dynamics.
  arXiv  Detail & Related papers  (2024-02-27T16:41:54Z)
• Sequential quantum simulation of spin chains with a single circuit QED device [5.841833052422423]
  Quantum simulation of many-body systems in materials science and chemistry are promising application areas for quantum computers. We show how a single-circuit quantum electrodynamics device can be used to simulate the ground state of a highly-entangled quantum many-body spin chain. We demonstrate that the large state space of the cavity can be used to replace multiple qubits in a qubit-only architecture, and could therefore simplify the design of quantum processors for materials simulation.
  arXiv  Detail & Related papers  (2023-08-30T18:00:03Z)
• Determining the ability for universal quantum computing: Testing controllability via dimensional expressivity [39.58317527488534]
  Controllability tests can be used in the design of quantum devices to reduce the number of external controls. We devise a hybrid quantum-classical algorithm based on a parametrized quantum circuit.
  arXiv  Detail & Related papers  (2023-08-01T15:33:41Z)
• Decomposition of Matrix Product States into Shallow Quantum Circuits [62.5210028594015]
  tensor network (TN) algorithms can be mapped to parametrized quantum circuits (PQCs) We propose a new protocol for approximating TN states using realistic quantum circuits. Our results reveal one particular protocol, involving sequential growth and optimization of the quantum circuit, to outperform all other methods.
  arXiv  Detail & Related papers  (2022-09-01T17:08:41Z)
• Ground state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices [3.1952399274829775]
  We develop a tool called quantum eigenvalue transformation of unitary matrices with reals (QET-U) This leads to a simple quantum algorithm that outperforms all previous algorithms with a comparable circuit structure for estimating the ground state energy. We demonstrate the performance of the algorithm using IBM Qiskit for the transverse field Ising model.
  arXiv  Detail & Related papers  (2022-04-12T17:11:40Z)
• Numerical Simulations of Noisy Quantum Circuits for Computational Chemistry [51.827942608832025]
  Near-term quantum computers can calculate the ground-state properties of small molecules. We show how the structure of the computational ansatz as well as the errors induced by device noise affect the calculation.
  arXiv  Detail & Related papers  (2021-12-31T16:33:10Z)
• Simulating the Mott transition on a noisy digital quantum computer via Cartan-based fast-forwarding circuits [62.73367618671969]
  Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model. Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models. This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
  arXiv  Detail & Related papers  (2021-12-10T17:32:15Z)
• Quantum algorithms for quantum dynamics: A performance study on the spin-boson model [68.8204255655161]
  Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator. variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware. We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
  arXiv  Detail & Related papers  (2021-08-09T18:00:05Z)

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.