Digital Quantum Simulation of Spin Transport
arXiv:2507.22846 · doi:10.1103/mx9k-kdlj
Abstract
Understanding transport phenomena in quantum spin systems has long intrigued physicists due to their potential applications in spintronic devices and spin qubits. Here, using a superconducting-qubit-based transmon device, we show that pre-fault-tolerant digital quantum simulation is reliable for studying transport phenomena via spin-current autocorrelation function (ACF). While quantum simulations of the spin-spin ACF have been used to probe spin transport, methods based on the spin-current ACF have yet to be demonstrated due to their high gate cost, despite offering more direct information relevant to the transport properties. Overcoming the resource constraints set by indirect measurement schemes like the Hadamard test, we showcase a direct measurement scheme that utilizes non-unitary operations, in particular mid-circuit measurements, to investigate spin transport for the 40-site 1D XXZ Heisenberg model in the near-ballistic, superdiffusive, and diffusive regimes. We successfully reproduce the expected power-law behavior in the superdiffusive regime and vanishing of the Drude weight in the diffusive regime.
References in corpus (53)
- The density-matrix renormalization group in the age of matrix product states
- Quantum sensing
- Charge insensitive qubit design derived from the Cooper pair box
- First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
- Efficient simulation of one-dimensional quantum many-body systems
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
- Hamiltonian Simulation by Qubitization
- A spin triplet supercurrent through the half-metallic ferromagnet CrO2
- Semiconductor Spin Qubits
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Noise tailoring for scalable quantum computation via randomized compiling
- Entanglement versus Correlations in Spin Systems
- Finite-temperature transport in one-dimensional quantum lattice models
- Simulating Physical Phenomena by Quantum Networks
- Spin diffusion from an inhomogeneous quench in an integrable system
- Probabilistic error cancellation with sparse Pauli-Lindblad models on noisy quantum processors
- Real-time dynamics in spin-1/2 chains with adaptive time-dependent DMRG
- Fractional excitations in the square-lattice quantum antiferromagnet
- Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
- Microscopic origin of ideal conductivity in integrable quantum models
- Two spin liquid phases in the spatially anisotropic triangular Heisenberg model
- Finite temperature dynamical DMRG and the Drude weight of spin-1/2 chains
- Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits
- Super-diffusion in one-dimensional quantum lattice models
- Observation of spin current in quantum spin liquid
- A short review on entanglement in quantum spin systems
- Real-time and real-space spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures
- Methodology for replacing indirect measurements with direct measurements
- Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin- chain
- Spin-current autocorrelations from single pure-state propagation
- Anomalous spin diffusion in one-dimensional antiferromagnets
- Efficient Long-Range Entanglement using Dynamic Circuits
- Magnon Heat Transport in doped
- Finite Temperature Dynamical Correlations using the Microcanonical Ensemble and the Lanczos Algorithm
- Dynamics of magnetization at infinite temperature in a Heisenberg spin chain
- Low-temperature transport in Heisenberg chains
- Finite-temperature Drude weight within the anisotropic Heisenberg chain
- Bulk and edge spin transport in topological magnon insulators
- The Drude weight of the spin-1/2 XXZ chain: density matrix renormalization group versus exact diagonalization
- Evidence of Kardar-Parisi-Zhang scaling on a digital quantum simulator
- Thermal conductivity of lightly Sr- and Zn-doped LaCuO single crystals
- Overcoming the entanglement barrier in quantum many-body dynamics via space-time duality
- Detect Spinons via Spin Transport
- Spinon and bound state excitation "light cones" in Heisenberg XXZ Chains
- Conductivity of quantum-spin chains: A Quantum Monte Carlo approach
- Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories
- Simulating prethermalization using near-term quantum computers
- Probing spin hydrodynamics on a superconducting quantum simulator
- Parametrically long lifetime of superdiffusion in non-integrable spin chains
- High-temperature quantum coherence of spinons in a rare-earth spin chain
- Finite-temperature transport in the gapped spin-1/2 XXZ chain and one-dimensional lattice spinless fermion model