# Digital Quantum Simulation of Open Quantum Systems Using Quantum Imaginary Time Evolution

@article{Kamakari2021DigitalQS, title={Digital Quantum Simulation of Open Quantum Systems Using Quantum Imaginary Time Evolution}, author={Hirsh Kamakari and Shi-Ning Sun and M. Motta and A. Minnich}, journal={Bulletin of the American Physical Society}, year={2021} }

Quantum simulation on emerging quantum hardware is a topic of intense interest. While many studies focus on computing ground state properties or simulating unitary dynamics of closed systems, open quantum systems are an interesting target of study owing to their ubiquity and rich physical behavior. However, their non-unitary dynamics are also not natural to simulate on digital quantum devices. Here, we report algorithms for the digital quantum simulation of the dynamics of open quantum systems… Expand

#### 7 Citations

Quantum Simulation of Open Quantum Systems Using a Unitary Decomposition of Operators

- Physics
- 2021

Electron transport in realistic physical and chemical systems often involves the non-trivial exchange of energy with a large environment, requiring the definition and treatment of open quantum… Expand

Relaxation of a Stationary State on a Quantum Computer Yields Unique Spectroscopic Fingerprint of the Computer's Noise

- Physics
- 2021

Quantum computing has the potential to revolutionize computing for certain classes of problems with exponential scaling, and yet this potential is accompanied by significant sensitivity to noise,… Expand

Demonstrating robust simulation of driven-dissipative problems on near-term quantum computers

- Physics
- 2021

Quantum computers are poised to revolutionize the simulation of quantum-mechanical systems in physics and chemistry. Current quantum computers execute their algorithms imperfectly, due to uncorrected… Expand

Emerging quantum computing algorithms for quantum chemistry

- Physics
- 2021

Digital quantum computers provide a computational framework for solving the Schrödinger equation for a variety of many-particle systems. Quantum computing algorithms for the quantum simulation of… Expand

Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization

- Physics
- 2021

Elmer V. H. Doggen, 2, ∗ Yuval Gefen, Igor V. Gornyi, 2, 4 Alexander D. Mirlin, 2, 5, 6 and Dmitry G. Polyakov Institute for Quantum Materials and Technologies, Karlsruhe Institute of Technology,… Expand

Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers

- Physics, Mathematics
- 2021

The eigenspectrum of a non-normal matrix, which does not commute with its Hermitian conjugate, is a central issue of non-Hermitian physics that has been extensively studied in the past few years.… Expand

Robust topology in quench dynamics simulated on near-term quantum computers

- Physics
- 2021

Programmable quantum processors are suitable platforms for simulating quantum systems, of which topological phases are of particular interest. We simulate the quench dynamics of a one-dimensional… Expand

#### References

SHOWING 1-10 OF 67 REFERENCES

A quantum algorithm for evolving open quantum dynamics on quantum computing devices

- Computer Science, Medicine
- Scientific Reports
- 2020

This work proposes and demonstrates a general quantum algorithm to evolve open quantum dynamics on quantum computing devices that does not require particular models of dynamics or decomposition of the quantum channel, and thus can be easily generalized to other open quantum dynamical models. Expand

Simulating quantum many-body dynamics on a current digital quantum computer

- Physics
- 2019

Universal quantum computers are potentially an ideal setting for simulating many-body quantum dynamics that is out of reach for classical digital computers. We use state-of-the-art IBM quantum… Expand

Variational ansatz-based quantum simulation of imaginary time evolution

- Computer Science, Mathematics
- 2018

This work proposes a variational algorithm that is hybrid, suitable for error mitigation and can exploit shallow quantum circuits, and can be implemented with current quantum computers, and uses it to find the ground-state energy of many-particle systems. Expand

Quantum algorithm for the simulation of open-system dynamics and thermalization

- Physics
- 2020

The quantum open-system simulation is an important category of quantum simulation. By simulating the thermalisation process at the zero temperature, we can solve the ground-state problem of quantum… Expand

Variational Quantum Simulation of General Processes.

- Physics, Mathematics
- Physical review letters
- 2020

The algorithm for generalized time evolution provides a unified framework for variational quantum simulation and shows its application in solving linear systems of equations and matrix-vector multiplications by converting these algebraic problems into generalizedTime evolution. Expand

Duality quantum algorithm efficiently simulates open quantum systems

- Computer Science, Medicine
- Scientific reports
- 2016

A duality quantum algorithm for simulating Hamiltonian evolution of an open quantum system by using a truncated Taylor series of the evolution operators and provides an exponential improvement in precision compared with previous unitary simulation algorithm. Expand

Quantum algorithm for simulating the dynamics of an open quantum system

- Physics
- 2011

In the study of open quantum systems, one typically obtains the decoherence dynamics by solving a master equation. The master equation is derived using knowledge of some basic properties of the… Expand

Quantum Simulation

- Physics
- 2013

Simulating quantum mechanics is known to be a difficult computational problem, especially when dealing with large systems. However, this difficulty may be overcome by using some controllable quantum… Expand

Universal simulation of Markovian quantum dynamics

- Physics
- 2001

Although the conditions for performing arbitrary unitary operations to simulate the dynamics of a closed quantum system are well understood, the same is not true of the more general class of quantum… Expand

Quantum simulation with natural decoherence

- Physics
- 2000

A quantum system may be efficiently simulated by a quantum information processor as suggested by Feynman and developed by Lloyd, Wiesner, and Zalka. Within the limits of the experimental… Expand