Digital programming of spin correlations in a fermionic lattice quantum simulator
- URL: http://arxiv.org/abs/2606.13772v1
- Date: Thu, 11 Jun 2026 18:00:00 GMT
- Title: Digital programming of spin correlations in a fermionic lattice quantum simulator
- Abstract summary: We present a hybrid approach that complements analog preparation with a digital quantum-gate protocol.<n>By applying collisional gates to adiabatically prepared and filtered four-fermion singlet chains, we program diverse spin-correlation patterns.<n>We measure the spin correlations using a sequence of quantum gates followed by singlet-pair measurements.
- Score: 1.2722697496405464
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Analog quantum simulation provides a highly controlled platform to study diverse quantum many-body phenomena. However, current methods for state initialisation are limited to thermal ensembles or uncorrelated product states. Here we present a hybrid approach that complements analog preparation with a digital quantum-gate protocol. This approach enables the engineering of target states with specific, long-range spin-correlations from the same initial resource state. By applying collisional gates to adiabatically prepared and filtered four-fermion singlet chains, we program diverse spin-correlation patterns, including that of a Heisenberg chain. We measure the spin correlations using a sequence of quantum gates followed by singlet-pair measurements. Our method paves the way to the targeted preparation of strongly correlated states of matter.
Related papers
- Quantum simulation of circular cluster interactions in a linear spin chain [41.99844472131922]
Preparation of Hamiltonians with symmetries fundamentally different than those of the underlying device is a central challenge for quantum technologies.<n>We address this challenge with an analog protocol for the iconic generalized cluster Hamiltonian with the resultant translational symmetry from periodic boundary conditions.<n>Our results show that this goal can be achieved in a control duration that scales only moderately with the number of spins and Hamiltonian interaction complexity.
arXiv Detail & Related papers (2026-08-25T12:48:48Z) - Information Propagation in Rydberg Arrays via Analog OTOC Calculations [37.108493798440655]
Out-of-time-order correlators (OTOCs) are the main tool for probing quantum chaos and scrambling.<n>We develop and implement a randomized measurement protocol to compute OTOCs on Aquila by QuEra Computing.<n>This work establishes the first demonstration of fully analog randomized OTOC measurements in neutral-atom simulators.
arXiv Detail & Related papers (2026-04-06T18:00:05Z) - Pulse-based optimization of quantum many-body states with Rydberg atoms in optical tweezer arrays [39.58317527488534]
We explore a pulse-based variational quantum eigensolver algorithm for Rydberg atoms in optical tweezer arrays.<n>We numerically demonstrate that the ground states of the one-dimensional antiferromagnetic Heisenberg model and the mixed-field Ising model can be accurately prepared.
arXiv Detail & Related papers (2025-07-25T10:51:49Z) - Adiabatic echo protocols for robust quantum many-body state preparation [35.31045922824676]
We introduce the adiabatic echo protocol, a general approach to state preparation designed to suppress the effect of static perturbations.<n>We show that such a protocol emerges naturally in a variety of settings, without requiring assumptions on the form of the control fields.<n>Our results highlight the broad applicability of this protocol, providing a practical framework for reliable many-body state preparation in present-day quantum platforms.
arXiv Detail & Related papers (2025-06-13T18:01:08Z) - Quantum Homogenization as a Quantum Steady State Protocol on NISQ Hardware [42.52549987351643]
Quantum homogenization is a reservoir-based quantum state approximation protocol.<n>We extend the standard quantum homogenization protocol to the dynamically-equivalent ($mathttSWAP$)$alpha$ formulation.<n>We show that our proposed protocol yields a completely positive, trace preserving (CPTP) map under which the code subspace is correctable.
arXiv Detail & Related papers (2024-12-19T05:50:54Z) - Simulating the Fermi-Hubbard model with long-range hopping on a quantum computer [0.0]
We provide quantum circuits to perform ground and excited states calculations.
We benchmark our approach on a chain with L=6 sites and periodic boundary conditions.
arXiv Detail & Related papers (2024-10-10T10:19:02Z) - Entanglement Structure of Non-Gaussian States and How to Measure It [0.0]
We present a protocol that constrains quantum states by experimentally measured correlation functions.<n>This method enables measurement of a quantum state's entanglement structure.<n>We show the protocol's usefulness in conjunction with current and forthcoming experimental capabilities.
arXiv Detail & Related papers (2024-07-16T18:00:01Z) - Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution.
We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions.
We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z) - Quantum Algorithm for Green's Functions Measurements in the Fermi-Hubbard Model [0.0]
We propose a new quantum algorithm, which uses an analog the Kubo formula adapted to a quantum circuit the Hubbard model.<n>It allows to access the Green's cluster function directly using only bilinears of fermionic operators and circumvents the usage of the Hadamard test.
arXiv Detail & Related papers (2023-10-16T13:55:10Z) - Quantum and classical correlations in open quantum-spin lattices via
truncated-cumulant trajectories [0.0]
We show a new method to treat open quantum-spin lattices, based on the solution of the open-system dynamics.
We validate this approach in the paradigmatic case of the phase transitions of the dissipative 2D XYZ lattice, subject to spontaneous decay.
arXiv Detail & Related papers (2022-09-27T13:23:38Z) - Probing finite-temperature observables in quantum simulators of spin
systems with short-time dynamics [62.997667081978825]
We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality.
We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
arXiv Detail & Related papers (2022-06-03T18:00:02Z) - Quantum simulation of fermionic systems using hybrid digital-analog
quantum computing approach [0.0]
We show how digital-analog approach can be applied to simulate the dynamics of fermionic systems.
We find that an optimal connectivity topology of qubits for the digital-analog simulation of fermionic systems of arbitrary dimensionality is a chain for spinless fermions and a ladder for spin-1/2 particles.
arXiv Detail & Related papers (2021-12-30T18:24:47Z) - 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) - Quantum simulation of antiferromagnetic Heisenberg chain with
gate-defined quantum dots [0.0]
Magnetic phases naturally arise in the Mott-insulator regime of the Fermi-Hubbard model.
We show the quantum simulation of magnetism in the Mott-insulator regime with a linear quantum-dot array.
arXiv Detail & Related papers (2021-03-15T09:45:02Z) - Quantum Statistical Complexity Measure as a Signalling of Correlation
Transitions [55.41644538483948]
We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions.
We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain.
We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
arXiv Detail & Related papers (2020-02-05T00:45:21Z)
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.