Quantum Simulation of Dissipative Processes without Reservoir Engineering

2014/06/30 by R. Di Candia, J. S. Pedernales, A. del Campo +2 · 39 citations
Computer Science · Physics and Astronomy · #Computation #Dissipative system #Lindblad equation #Markov process #Master equation #Open quantum system #Quantum #Quantum Computing Algorithms and Architecture #Quantum computer #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #Unitary state #cond-mat.mes-hall #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.1038/srep09981

published in Scientific Reports 5(1), 9981 (Nature Portfolio) · 7 pages + Supplemental Material (6 pages)

openalex publication_date 2015/05/29 · arxiv created 2015/06/05 · arxiv updated 2015/06/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and non-Markovian quantum dynamics. It consists in the quantum computation of the dissipative corrections to the unitary evolution of the system of interest, via the reconstruction of the response functions associated with the Lindblad operators. Our approach is equally applicable to dynamics generated by effectively non-Hermitian Hamiltonians. We confirm the quality of our method providing specific error bounds that quantify its accuracy.

Citations

• Photonic quantum technologies
• Making sense of non-Hermitian Hamiltonians
• Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit
• An open-system quantum simulator with trapped ions
• Universal Digital Quantum Simulation with Trapped Ions
• Decoherence, einselection, and the quantum origins of the classical
• Simulating physics with computers
• Open Quantum Systems. An Introduction

Cited by

• Measurement of linear response functions in Nuclear Magnetic Resonance
• Method for simulating open-system dynamics using mid-circuit measurements on a quantum computer
• Quantum simulation of quantum channels in nuclear magnetic resonance
• A quantum algorithm for evolving open quantum dynamics on quantum computing devices
• Many-body hierarchy of dissipative timescales in a quantum computer