Many-body Hierarchy of Dissipative Timescales in a Quantum Computer
arXiv:2011.08853 · doi:10.1103/PhysRevResearch.3.023190
Abstract
We show that current noisy quantum computers are ideal platforms for the simulation of quantum many-body dynamics in generic open systems. We demonstrate this using the IBM Quantum Computer as an experimental platform for confirming the theoretical prediction from [Phys. Rev. Lett.124, 100604 (2020)] of an emergent hierarchy of relaxation timescales of many-body observables involving different numbers of qubits. Using different protocols, we leverage the intrinsic dissipation of the machine responsible for gate errors, to implement a quantum simulation of generic (i.e. structureless) local dissipative interactions.
arXiv comment8 pages, 8 figures
References in corpus (35)
- Charge insensitive qubit design derived from the Cooper pair box
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- Quantum Simulation
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Localization of interacting fermions at high temperature
- An Open-System Quantum Simulator with Trapped Ions
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Scalable Quantum Simulation of Molecular Energies
- Universal digital quantum simulation with trapped ions
- Eigenstate Thermalization Hypothesis
- Quantum chemistry calculations on a trapped-ion quantum simulator
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Digital quantum simulation of fermionic models with a superconducting circuit
- The Ergodic Side of the Many-Body Localization Transition
- Digital quantum simulation of spin models with circuit quantum electrodynamics
- Thermal Fluctuations in Quantized Chaotic Systems
- Anomalous thermalization in ergodic systems
- Experimentally simulating the dynamics of quantum light and matter at ultrastrong coupling
- Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos
- A quantum algorithm for evolving open quantum dynamics on quantum computing devices
- Long tail distributions near the many body localization transition
- Universal spectra of random Lindblad operators
- Quantum algorithm for simulating the dynamics of an open quantum system
- Hierarchy of relaxation timescales in local random Liouvillians
- Spectral gaps and mid-gap states in random quantum master equations
- Universal simulation of Markovian open quantum systems
- Random Lindblad Dynamics
- Spectral and Steady-State Properties of Random Liouvillians
- Solovay-Kitaev Decomposition Strategy for Single-Qubit Channels
- Exceptional points and the topology of quantum many-body spectra
- Spectral transitions and universal steady states in random Kraus maps and circuits
- Quantum Simulation of Dissipative Processes without Reservoir Engineering
- Thermalization in open many-body systems based on eigenstate thermalization hypothesis
Cited by in corpus (11)
- Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
- Lindbladian dissipation of strongly-correlated quantum matter
- High-fidelity realization of the AKLT state on a NISQ-era quantum processor
- Entanglement Entropy of Non-Hermitian Eigenstates and the Ginibre Ensemble
- Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
- Renyi Entropy Dynamics and Lindblad Spectrum for Open Quantum System
- A quantum algorithm for solving open system dynamics on quantum computers using noise
- Random matrix theory for quantum and classical metastability in local Liouvillians
- Spectral and steady-state properties of fermionic random quadratic Liouvillians
- Long-Time Error-Mitigating Simulation of Open Quantum Systems on Near Term Quantum Computers
- Quantum many-body Jarzynski equality and dissipative noise on a digital quantum computer