Parameterized Hamiltonian simulation using quantum optimal control
arXiv:2105.02153 · doi:10.1103/PhysRevA.104.042602
Abstract
Analog quantum simulation offers a hardware-specific approach to studying quantum dynamics, but mapping a model Hamiltonian onto the available device parameters requires matching the hardware dynamics. We introduce a paradigm for quantum Hamiltonian simulation that leverages digital decomposition techniques and optimal control to perform analog simulation. We validate this approach by constructing the optimal analog controls for a superconducting transmon device to emulate the dynamics of an extended Bose-Hubbard model. We demonstrate the role of control time, digital error, and pulse complexity, and we explore the accuracy and robustness of these controls. We conclude by discussing the opportunity for implementing this paradigm in near-term quantum devices.
arXiv comment13 pages, 4 figures
References in corpus (41)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum Simulation
- A Quantum Engineer's Guide to Superconducting Qubits
- Atomic quantum gases in periodically driven optical lattices
- The Magnus expansion and some of its applications
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Efficient Z-Gates for Quantum Computing
- A tunable coupling scheme for implementing high-fidelity two-qubit gates
- Optimal control theory for unitary transformations
- Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
- Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space
- Topological Entanglement Entropy of a Bose-Hubbard Spin Liquid
- Realization of high-fidelity CZ and ZZ-free iSWAP gates with a tunable coupler
- Digital quantum simulation of spin models with circuit quantum electrodynamics
- Quantum Computer Systems for Scientific Discovery
- Gradient optimization of analytic controls: the route to high accuracy quantum optimal control
- Leakage reduction in fast superconducting qubit gates via optimal control
- Quantum Control Landscapes
- Adaptive hybrid optimal quantum control for imprecisely characterized systems
- On entropy growth and the hardness of simulating time evolution
- An information theoretical analysis of quantum optimal control
- Tunable coupler for realizing a controlled-phase gate with dynamically decoupled regime in a superconducting circuit
- Digital-Analog Quantum Computation
- Digital-Analog Quantum Simulations with Superconducting Circuits
- Digital-Analog Quantum Simulation of Spin Models in Trapped Ions
- Simulation of time evolution with the MERA
- Realizing the two-dimensional hard-core Bose-Hubbard model with superconducting qubits
- Optimal Control for the Quantum Simulation of Nuclear Dynamics
- High-fidelity software-defined quantum logic on a superconducting qudit
- Optimized cross-resonance gate for coupled transmon systems
- Quantum optimal control via gradient ascent in function space and the time-bandwidth quantum speed limit
- Unbiased Simulation of Near-Clifford Quantum Circuits
- Digital-analog quantum simulation of generalized Dicke models with superconducting circuits
- Digital-analog quantum algorithm for the quantum Fourier transform
- Small, Highly Accurate Quantum Processor for Intermediate-Depth Quantum Simulations
- Dynamical quantum phase transitions in collapse and revival oscillations of a quenched superfluid
- Searching for quantum optimal controls under severe constraints
- Hybrid digital-analog simulation of many-body dynamics with superconducting qubits
- Dependence of the Quantum Speed Limit on System Size and Control Complexity
- Enhanced connectivity of quantum hardware with digital-analog control