General, efficient, and robust Hamiltonian engineering
arXiv:2410.19903 · doi:10.1103/9yxv-tdqr
Abstract
Implementing the time evolution under a desired target Hamiltonian is critical for various applications in quantum science. Due to the exponential increase in the number of parameters with system size and experimental imperfections, this task can be challenging in quantum many-body settings. We introduce an efficient and robust scheme to engineer arbitrary local many-body Hamiltonians. To this end, our scheme applies single-qubit or pulses to an always-on system Hamiltonian, which we assume to be native to a given platform. These sequences are constructed by efficiently solving a linear program (LP) which minimizes the total evolution time. In this way, we can engineer target Hamiltonians that are only limited by the locality of the interactions in the system Hamiltonian. Based on average Hamiltonian theory and using robust composite pulses, we make our schemes robust against errors, including finite pulse time errors and various control errors. To demonstrate the performance of our scheme, we provide numerical simulations. In particular, we solve the Hamiltonian engineering problem on a laptop for arbitrary two-local Hamiltonians on a 2D square lattice with qubits in only seconds. Moreover, we simulate the engineering of general Heisenberg Hamiltonians from Ising Hamiltonians using imperfect single-qubit pulses for smaller system sizes and achieve a fidelity exceeding , which is orders of magnitude better than non-robust implementations.
20+14 pages, 1 table, 8 figures; published version
References in corpus (50)
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Probing many-body dynamics on a 51-atom quantum simulator
- Logical quantum processor based on reconfigurable atom arrays
- Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
- Toward the first quantum simulation with quantum speedup
- Quantum computing with neutral atoms
- A Theory of Trotter Error
- Simulating Physical Phenomena by Quantum Networks
- Simulating chemistry using quantum computers
- Gate count estimates for performing quantum chemistry on small quantum computers
- Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
- Solving strongly correlated electron models on a quantum computer
- Three-body interactions with cold polar molecules
- Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
- Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
- Parallel Entangling Operations on a Universal Ion Trap Quantum Computer
- Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
- Quantum simulation of a system with competing two- and three-body interactions
- Universal quantum computation and simulation using any entangling Hamiltonian and local unitaries
- Scalable global entangling gates on arbitrary ion qubits
- Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
- Universal simulation of Hamiltonian dynamics for qudits
- Quantum Metrology with Strongly Interacting Spin Systems
- Robust Dynamic Hamiltonian Engineering of Many-Body Spin Systems
- Efficient Arbitrary Simultaneously Entangling Gates on a trapped-ion quantum computer
- Robustness of composite pulses to time-dependent control noise
- Learning many-body Hamiltonians with Heisenberg-limited scaling
- Convergence of the Magnus series
- Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
- Concatenated composite pulses compensating simultaneous systematic errors
- Dynamical engineering of interactions in qudit ensembles
- Versatile microwave-driven trapped ion spin system for quantum information processing
- Fast, high-fidelity addressed single-qubit gates using efficient composite pulse sequences
- Computational Capabilities and Compiler Development for Neutral Atom Quantum Processors: Connecting Tool Developers and Hardware Experts
- Synthesizing five-body interaction in a superconducting quantum circuit
- Programmable quantum simulation by dynamic Hamiltonian engineering
- Synthesis of and compilation with time-optimal multi-qubit gates
- Narrowband and passband composite pulses for variable rotations
- Composite pulses with errant phases
- Universal Composite Pulses for Efficient Population Inversion with an Arbitrary Excitation Profile
- Digital-Analog Quantum Computation with Arbitrary Two-Body Hamiltonians
- Mitigating noise in digital and digital-analog quantum computation
- Short composite rotation robust against two common systematic errors
- Efficient Hamiltonian programming in qubit arrays with nearest-neighbour couplings
- Estimating the probability that a given vector is in the convex hull of a random sample
- Rescaling interactions for quantum control
- Universal quantum processors in spin systems via robust local pulse sequences
- Ansatz-free Hamiltonian learning with Heisenberg-limited scaling
- Time-optimal multi-qubit gates: Complexity, efficient heuristic and gate-time bounds