Constant-depth circuits for dynamic simulations of materials on quantum computers

  title={Constant-depth circuits for dynamic simulations of materials on quantum computers},
  author={Lindsay Bassman and Roel Van Beeumen and Ed Younis and Ethan Smith and Costin Iancu and Wibe A. de Jong},
  journal={Materials Theory},
Dynamic simulation of materials is a promising application for near-term quantum computers. Current algorithms for Hamiltonian simulation, however, produce circuits that grow in depth with increasing simulation time, limiting feasible simulations to short-time dynamics. Here, we present a method for generating circuits that are constant in depth with increasing simulation time for a specific subset of one-dimensional (1D) materials Hamiltonians, thereby enabling simulations out to arbitrarily… 
Quantum Circuit Optimization and Transpilation via Parameterized Circuit Instantiation
This work describes algorithms to apply instantiation during two common compilation steps: circuit optimization and gate-set transpilation, and shows how instantiation can be incorporated into a compiler workflow to improve circuit quality and enhance portability, all while maintaining a reasonably low compile time overhead.
The Basics of Quantum Computing for Chemists
The rapid and successful strides in quantum chemistry in the past decades can be largely credited to a conspicuous synergy between theoretical and computational advancements. However, the
Quantum dynamics simulations beyond the coherence time on noisy intermediate-scale quantum hardware by variational Trotter compression
We demonstrate a post-quench dynamics simulation of a Heisenberg model on present-day IBM quantum hardware that extends beyond the coherence time of the device. This is achieved using a hybrid
Real-time simulation of light-driven spin chains on quantum computers
In this work, we study the real-time evolution of periodically driven (Floquet) systems on a quantum computer using IBM quantum devices. We consider a driven Landau–Zener model and compute the
ArQTiC: A full-stack software package for simulating materials on quantum computers
ArQTiC is an open-source, full-stack software package built for the simulations of materials on quantum computers. It currently can simulate materials that can be modeled by any Hamiltonian derived
Real-Time Evolution for Ultracompact Hamiltonian Eigenstates on Quantum Hardware
This research attacked the mode confusion problem by developing a modeling framework that allowed us to estimate the level of uncertainty in the model’s response to various levels of uncertainty.
Quantum time dynamics of 1D-Heisenberg models employing the Yang-Baxter equation for circuit compression
Quantum time dynamics (QTD) is considered a promising problem for quantum supremacy on near-term quantum computers. However, QTD quantum circuits grow with increasing time simulations. This study
Exploring Finite Temperature Properties of Materials with Quantum Computers
Thermal properties of nanomaterials are crucial to not only improving our fundamental understanding of condensed matter systems, but also to developing novel materials for applications spanning
An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian Simulation
It is shown that Hamiltonian simulation of certain spin models known as free fermions can be performed in a quantum circuit with a depth that is independent of simulation time and that grows linearly in the number of spins.
Empirical evaluation of circuit approximations on noisy quantum devices
This work develops a methodology to generate shorter circuits with fewer multi-qubit gates whose unitary transformations approximate the original reference one, and explores the benefit of such generated approximations under NISQ devices.


  • P. Alam
  • Composites Engineering: An A–Z Guide
  • 2021
Digitized adiabatic quantum computing with a superconducting circuit.
The demonstration of digitized adiabatic quantum computing in the solid state opens a path to synthesizing long-range correlations and solving complex computational problems.
Simulated Quantum Computation of Molecular Energies
Calculations of the water and lithium hydride molecular ground-state energies have been carried out on a quantum computer simulator using a recursive phase-estimation algorithm and mapping of the molecular wave function to the quantum bits are described.
Quantum Sci
  • Technol. 6, 14007
  • 2020
npj Quantum Inf
  • 5, 106
  • 2019
Towards simulation of the dynamics of materials on quantum computers
A successful simulation of nontrivial quantum dynamics on IBM's Q16 Melbourne quantum processor and Rigetti's Aspen quantum processor is demonstrated, namely, ultrafast control of emergent magnetism by THz radiation in an atomically-thin two-dimensional material.
Universal quantum circuit for two-qubit transformations with three controlled-NOT gates
We consider quantum circuits made of controlled-NOT (CNOT) gates and single-qubit unitary gates and look for constructions that minimize the use of CNOT gates. We show, by means of an explicit
On the Complexity of Quantum Circuit Compilation
This paper forms a makespan optimization problem based on QCC, and proves that the problem is NP-complete.
Apesar da gestão de carreiras ser uma preocupação recente no quadro da gestão das relações de trabalho, é hoje evidente a crise em que se encontra a forma tradicional de abordagem desta problemática.
Constant Depth Circuits for Dynamic Simulations of Materials on Quantum Computers (2021)
  • Accessed
  • 2021