Simulating quantum transport via collisional models on a digital quantum computer

Abstract

Digital quantum computers have the potential to study the dynamics of complex quantum systems. Nonequilibrium open quantum systems are, however, less straightforward to be implemented. Here we consider a collisional model representation of the nonequilibrium open dynamics for a boundary-driven XXZ spin chain, with a particular focus on its steady states. More specifically, we study the interplay between the accuracy of the result versus the depth of the circuit by comparing the results generated by the corresponding master equations. We study the simulation of a boundary-driven spin chain in regimes of weak and strong interactions, which would lead in large systems to diffusive and ballistic dynamics, considering also possible errors in the implementation of the protocol. Last, we analyze the effectiveness of digital simulation via the collisional model of current rectification when the XXZ spin chains are subject to non-uniform magnetic fields.

References in corpus (32)

• Efficient quantum algorithms for simulating sparse Hamiltonians
• Finite-temperature transport in one-dimensional quantum lattice models
• A tunable coupling scheme for implementing high-fidelity two-qubit gates
• IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
• Thermalizing Quantum Machines: Dissipation and Entanglement
• Demonstrating a Continuous Set of Two-qubit Gates for Near-term Quantum Algorithms
• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Markovian master equations for quantum thermal machines: local vs global approach
• Quantum collision models: open system dynamics from repeated interactions
• Reconciliation of quantum local master equations with thermodynamics
• Variational quantum simulation of general processes
• Relaxation times of dissipative many-body quantum systems
• Quantum speed-up in collisional battery charging
• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Collisional quantum thermometry
• Collision models can efficiently simulate any multipartite Markovian quantum dynamics
• Collision models in open system dynamics: A versatile tool for deeper insights?
• Negative differential conductivity in far-from-equilibrium quantum spin chains
• Non-equilibrium steady-states of memoryless quantum collision models
• Quantum simulation of dissipative collective effects on noisy quantum computers
• Nonequilibrium Dynamics with Finite-Time Repeated Interactions
• Suppression of mid-circuit measurement crosstalk errors with micromotion
• Heat, Work and Energy Currents in the Boundary-Driven XXZ Spin Chain
• Mediated Homogenization
• A brief journey through collision models for multipartite open quantum dynamics
• Exact asymptotics of the current in boundary dissipated quantum chains in large external fields
• Digital Quantum Simulation of the Spin-Boson Model under Open System Dynamics
• Typicality of nonequilibrium (quasi-)steady currents
• Emergence of steady currents due to strong prethermalization
• A quantum collisional classifier driven by information reservoir
• Giant rectification in segmented, strongly interacting, spin chains despite the presence of perturbations
• Almost thermal operations: inhomogeneous reservoirs

Cited by in corpus (6)

• Giant rectification in strongly-interacting driven tilted systems
• Thermal state preparation by repeated interactions at and beyond the Lindblad limit
• Nonequilibrium steady states in multi-bath quantum collision models
• Violation of the thermodynamic uncertainty relation in quantum collisional models
• Strong symmetries in collision models and physical dilations of covariant quantum maps
• Anomalous diffusion in quantum system driven by heavy-tailed stochastic processes