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

@article{Bassman2022ConstantdepthCF, 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}, year={2022}, volume={6}, pages={1-18} }

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…

## 12 Citations

Quantum Circuit Optimization and Transpilation via Parameterized Circuit Instantiation

- Computer ScienceArXiv
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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.

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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…

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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…

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- PhysicsPhysical Review B
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Quantum criticality emerges from the collective behavior of many interacting quantum particles, often at the transition between diﬀerent phases of matter. It is one of the cornerstones of condensed…

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- PhysicsPhysical Review Research
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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…

An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian Simulation

- Computer Science, PhysicsSIAM J. Matrix Anal. Appl.
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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.

ArQTiC: A full-stack software package for simulating materials on quantum computers

- PhysicsACM Transactions on Quantum Computing
- 2022

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…

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- BiologyPRX Quantum
- 2022

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.

Exploring Finite Temperature Properties of Materials with Quantum Computers

- Physics
- 2021

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…

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