Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Domain-specific compilers for dynamic simulations of quantum materials on quantum computers

Journal Article · · Quantum Science and Technology
Abstract

Simulation of the dynamics of quantum materials is emerging as a promising scientific application for noisy intermediate-scale quantum (NISQ) computers. Due to their high gate-error rates and short decoherence times, however, NISQ computers can only produce high-fidelity results for those quantum circuits smaller than some given circuit size. Dynamic simulations, therefore, pose a challenge as current algorithms produce circuits that grow in size with each subsequent time-step of the simulation. This underscores the crucial role of quantum circuit compilers to produce executable quantum circuits of minimal size, thereby maximizing the range of physical phenomena that can be studied within the NISQ fidelity budget. Here, we present two domain-specific (DS) quantum circuit compilers for the Rigetti and IBM quantum computers, specifically designed to compile circuits simulating dynamics under a special class of time-dependent Hamiltonians. The compilers outperform state-of-the-art general-purpose compilers in terms of circuit size reduction by around 25%–30% as well as wall-clock compilation time by around 40% (dependent on system size and simulation time-step). Drawing on heuristic techniques commonly used in artificial intelligence, both compilers scale well with simulation time-step and system size. Code for both compilers is open-source and packaged into a full-stack quantum simulation software with tutorials included for ease of use for future researchers wishing to perform dynamic simulations of quantum materials on quantum computers. As our DS compilers provide significant improvements in both compilation time and simulation fidelity, they provide a building block for accelerating progress toward physical quantum supremacy.

Research Organization:
Univ. of Southern California, Los Angeles, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0014607
OSTI ID:
1851962
Journal Information:
Quantum Science and Technology, Journal Name: Quantum Science and Technology Journal Issue: 1 Vol. 6; ISSN 2058-9565
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English

References (36)

Quantum Computing in the NISQ era and beyond journal August 2018
Minimal universal two-qubit controlled-NOT-based circuits journal June 2004
Optimization of lattice surgery is NP-hard journal September 2017
Block- Z X Z synthesis of an arbitrary quantum circuit journal November 2016
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets journal September 2017
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer journal June 2016
Dynamic phase transition in the kinetic Ising model under a time-dependent oscillating field journal April 1990
Response of Ising systems to oscillating and pulsed fields: Hysteresis, ac, and pulse susceptibility journal September 1995
From classical to quantum glass journal October 1991
Quantum supremacy using a programmable superconducting processor journal October 2019
Towards simulation of the dynamics of materials on quantum computers journal May 2020
Quantum Circuits for General Multiqubit Gates journal September 2004
Exact Ising model simulation on a quantum computer journal December 2018
Algorithmic simulation of far-from-equilibrium dynamics using quantum computer journal July 2018
Simulating quantum dynamics on a quantum computer journal October 2011
Compiling quantum algorithms for architectures with multi-qubit gates journal June 2016
Universal quantum circuit for two-qubit transformations with three controlled-NOT gates journal January 2004
Ising model in a transverse tunneling field and proton-lattice interaction in H-bonded ferroelectrics journal September 1979
Simulation of Nonequilibrium Dynamics on a Quantum Computer journal October 2018
Quantum circuits for isometries journal March 2016
Simulating physics with computers journal June 1982
Programming languages and compiler design for realistic quantum hardware journal September 2017
Quantum Simulation of Time-Dependent Hamiltonians and the Convenient Illusion of Hilbert Space journal April 2011
Quantum Chemistry Calculations on a Trapped-Ion Quantum Simulator journal July 2018
Efficient Decomposition of Quantum Gates journal April 2004
Simulating quantum many-body dynamics on a current digital quantum computer journal November 2019
Quantum-assisted quantum compiling journal May 2019
Computation of Molecular Spectra on a Quantum Processor with an Error-Resilient Algorithm journal February 2018
Towards quantum chemistry on a quantum computer journal January 2010
Fault-tolerant, high-level quantum circuits: form, compilation and description journal April 2017
Ising model in a time-dependent magnetic field journal December 1990
Kinetic Ising Model in an Oscillating Field: Finite-Size Scaling at the Dynamic Phase Transition journal July 1998
Nonequilibrium phase transition in the kinetic Ising model: Is the transition point the maximum lossy point? journal July 1998
Optimal quantum circuits for general two-qubit gates journal March 2004
A software methodology for compiling quantum programs journal February 2018
On the product of semi-groups of operators journal April 1959

Similar Records

Reoptimization of Quantum Circuits via Hierarchical Synthesis
Journal Article · 2021 · 2021 International Conference on Rebooting Computing (ICRC) · OSTI ID:1865293

Establishing the quantum supremacy frontier with a 281 Pflop/s simulation
Journal Article · 2020 · Quantum Science and Technology · OSTI ID:1649588

QASMBench: A Low-Level Quantum Benchmark Suite for NISQ Evaluation and Simulation
Journal Article · 2023 · ACM Transactions on Quantum Computing · OSTI ID:1969005

Related Subjects