A quantum algorithm for solving open system dynamics on quantum computers using noise
arXiv:2210.12138 · doi:10.1103/PhysRevA.108.062424
Abstract
In this paper we present a quantum algorithm that uses noise as a resource. The goal of our quantum algorithm is the calculation of operator averages of an open quantum system evolving in time. Selected low-noise system qubits and noisy bath qubits represent the system and the bath of the open quantum system. All incoherent qubit noise can be mapped to bath spectral functions. The form of the spectral functions can be tuned digitally, allowing for the time evolution of a wide range of open-system models at finite temperature. We study the feasibility of this approach with a focus on the solution of the spin-boson model and assume intrinsic qubit noise that is dominated by damping and dephasing. We find that classes of open quantum systems exist where our algorithm performs very well, even with gate errors as high as 1%. In general the presented algorithm performs best if the system-bath interactions can be decomposed into native gates.
arXiv comment22 pages, 13 figures in total: 11 pages main text with 7 figures
References in corpus (36)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum Simulation
- Noisy intermediate-scale quantum (NISQ) algorithms
- An Open-System Quantum Simulator with Trapped Ions
- A Theory of Trotter Error
- Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
- Mesoscopic quantum transport: Resonant tunneling in the presence of strong Coulomb interaction
- IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Simulation methods for open quantum many-body systems
- Digital quantum simulation of open quantum systems using quantum imaginary time evolution
- Resource-efficient digital quantum simulation of -level systems for photonic, vibrational, and spin- Hamiltonians
- Virtual excitations in the ultra-strongly-coupled spin-boson model: physical results from unphysical modes
- Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
- Auxiliary master equation approach to non-equilibrium correlated impurities
- Studying Light-Harvesting Models with Superconducting Circuits
- Quantum algorithm for simulating the dynamics of an open quantum system
- Probing the strongly driven spin-boson model in a superconducting quantum circuit
- Quantum simulator of an open quantum system using superconducting qubits: exciton transport in photosynthetic complexes
- Optimized auxiliary oscillators for the simulation of general open quantum systems
- Hierarchy of relaxation timescales in local random Liouvillians
- Generalized theory of pseudomodes for exact descriptions of non-Markovian quantum processes
- A general quantum algorithm for open quantum dynamics demonstrated with the Fenna-Matthews-Olson complex
- Capturing Non-Markovian Dynamics on Near-Term Quantum Computers
- Universal fidelity reduction of quantum operations from weak dissipation
- Quantum simulation of the spin-boson model with a microwave circuit
- Cavity QED with an ultracold ensemble on a chip: prospects for strong magnetic coupling at finite temperatures
- Experimental simulation of open quantum system dynamics via Trotterization
- Noise-assisted digital quantum simulation of open systems
- Open systems with error bounds: spin boson model with spectral density variations
- Markovian Treatment of non-Markovian Dynamics of Open Fermionic Systems
- Two-Unitary Decomposition Algorithm and Open Quantum System Simulation
- Many-body Hierarchy of Dissipative Timescales in a Quantum Computer
- Effects of gate errors in digital quantum simulations of fermionic systems
- Relaxation of a Stationary State on a Quantum Computer Yields Unique Spectroscopic Fingerprint of the Computer's Noise
- Nonunitary Gate Operations by Dissipation Engineering
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- Improving Quantum Approximate Optimization by Noise-Directed Adaptive Remapping
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- Nonlinear Spectroscopy via Generalized Quantum Phase Estimation
- Quantum Tunneling: From Theory to Error-Mitigated Quantum Simulation
- Demonstration of system-bath physics on a gate-based quantum computer
- Describing Trotterized Time Evolutions on Noisy Quantum Computers via Static Effective Lindbladians
- Simulating Electron Transfer on Noisy Quantum Computers
- Reshaping quantum device noise via repetition code circuits
- Quantum Simulation of Two-Level -Symmetric Systems Using Hermitian Hamiltonians
- Markovian Embeddings of Non-Markovian Open System Dynamics