Scalable Quantum Simulations of Scattering in Scalar Field Theory on 120 Qubits
arXiv:2411.02486 · doi:10.1103/qr72-51v1
Abstract
Simulations of collisions of fundamental particles on a quantum computer are expected to have an exponential advantage over classical methods and promise to enhance searches for new physics. Furthermore, scattering in scalar field theory has been shown to be BQP-complete, making it a representative problem for which quantum computation is efficient. As a step toward large-scale quantum simulations of collision processes, scattering of wavepackets in one-dimensional scalar field theory is simulated using 120 qubits of IBM's Heron superconducting quantum computer ibm_fez. Variational circuits compressing vacuum preparation, wavepacket initialization, and time evolution are determined using classical resources. By leveraging physical properties of states in the theory, such as symmetries and locality, the variational quantum algorithm constructs scalable circuits that can be used to simulate arbitrarily-large system sizes. A new strategy is introduced to mitigate errors in quantum simulations, which enables the extraction of meaningful results from circuits with up to 4924 two-qubit gates and two-qubit gate depths of 103. The effect of interactions is clearly seen, and is found to be in agreement with classical Matrix Product State simulations. The developments that will be necessary to simulate high-energy inelastic collisions on a quantum computer are discussed.
50 pages, 13 figures, 24 tables. v2: added appendix on digitization effects, fixed typos
References in corpus (64)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Logical quantum processor based on reconfigurable atom arrays
- Quantum Error Mitigation
- Beyond Barren Plateaus: Quantum Variational Algorithms Are Swamped With Traps
- Barren Plateaus in Variational Quantum Computing
- Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group
- Nuclear Physics from Lattice QCD
- Dynamical decoupling for superconducting qubits: a performance survey
- Quantum Simulating Nature's Fundamental Fields
- Efficient Long-Range Entanglement using Dynamic Circuits
- Preparation of matrix product states with log-depth quantum circuits
- Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
- The Variational Power of Quantum Circuit Tensor Networks
- Classically optimized Hamiltonian simulation
- Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon -Decay in Real Time
- On the practical usefulness of the Hardware Efficient Ansatz
- Entanglement generation in QED scattering processes
- Single-particle digitization strategy for quantum computation of a scalar field theory
- Quantum simulation of scattering in the quantum Ising model
- Quantum Crosstalk Robust Quantum Control
- Machine Learning for Practical Quantum Error Mitigation
- Basic Elements for Simulations of Standard Model Physics with Quantum Annealers: Multigrid and Clock States
- Matrix Model simulations using Quantum Computing, Deep Learning, and Lattice Monte Carlo
- Overlap-ADAPT-VQE: Practical Quantum Chemistry on Quantum Computers via Overlap-Guided Compact Ansätze
- High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
- Initial state preparation for quantum chemistry on quantum computers
- Hadronic Interactions from Lattice QCD
- Variational Hamiltonian simulation for translational invariant systems via classical pre-processing
- Creating and controlling global Greenberger-Horne-Zeilinger entanglement on quantum processors
- Approximating many-body quantum states with quantum circuits and measurements
- Simulating large-size quantum spin chains on cloud-based superconducting quantum computers
- Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer
- Optimal compression of quantum many-body time evolution operators into brickwall circuits
- Realizing the Nishimori transition across the error threshold for constant-depth quantum circuits
- Local variational quantum compilation of a large-scale Hamiltonian dynamics
- Noisy intermediate-scale quantum simulation of the one-dimensional wave equation
- Enhancing quantum utility: simulating large-scale quantum spin chains on superconducting quantum computers
- Variational quantum simulation: a case study for understanding warm starts
- Bosonic field digitization for quantum computers
- Real-time scattering in the lattice Schwinger model
- Measurement-Based Long-Range Entangling Gates in Constant Depth
- Nearly-optimal state preparation for quantum simulations of lattice gauge theories
- Evaluation of Parameterized Quantum Circuits with Cross-Resonance Pulse-Driven Entanglers
- A Cold-Atom Particle Collider
- Towards a variational Jordan-Lee-Preskill quantum algorithm
- Uncovering Local Integrability in Quantum Many-Body Dynamics
- Nuclear scattering via quantum computing
- Scaling Whole-Chip QAOA for Higher-Order Ising Spin Glass Models on Heavy-Hex Graphs
- A quantum-classical co-processing protocol towards simulating nuclear reactions on contemporary quantum hardware
- Efficient and precise quantum simulation of ultra-relativistic quark-nucleus scattering
- Scattering Amplitude from Quantum Computing with Reduction Formula
- Scattering phase shifts from a quantum computer
- Riemannian quantum circuit optimization for Hamiltonian simulation
- Fermionic wave packet scattering: a quantum computing approach
- Quantum Simulation of Bound State Scattering
- Identification of topological phases using classically-optimized variational quantum eigensolver
- Approximate Quantum Compiling for Quantum Simulation: A Tensor Network based approach
- Scalable simulation of non-equilibrium quantum dynamics via classically optimised unitary circuits
- Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states
- Convergence and Quantum Advantage of Trotterized MERA for Strongly-Correlated Systems
- Coherent spatial control of wave packet dynamics on quantum lattices
- Subspace-Based Local Compilation of Variational Quantum Circuits for Large-Scale Quantum Many-Body Simulation
- Optimal compression of constrained quantum time evolution
- Quantum mechanical Gaussian wavepackets of single relativistic particles
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- Simulating plasma wave propagation on a superconducting quantum chip
- Apparent bistability from weak long-range interactions