Strategies to simulate dephasing-assisted quantum transport on digital quantum computers
arXiv:2111.02897 · doi:10.1088/1367-2630/ac512f
Abstract
Simulating charge and energy transfer in extended molecular networks requires an effective model to include the environment because it significantly affects the quantum dynamics. A prototypical effect known as Environment-Assisted Quantum Transport (ENAQT) consists in the modulation and sometimes enhancement of the transfer efficiency by the interaction with an environment. A simple description of this phenomenon is obtained by a quantum master equation describing a quantum walk over the molecular network in the presence of inter-site decoherence. We consider the problem of simulating the dynamics underlying ENAQT in a digital quantum computer. Two different quantum algorithms are introduced, the first one based on stochastic Hamiltonians and the second one based on a collision scheme. We test both algorithms by simulating ENAQT in a small molecular network on a quantum computer emulator and provide a comparative analysis of the two approaches. Both algorithms can be implemented in a memory efficient encoding with the number of required qubits scaling logarithmically with the size of the simulated system while the number of gates increases quadratically. We discuss the algorithmic quantum trajectories generated by the two simulation strategies showing that they realize distinct unravellings of the site-dephasing master equation. In our approach, the non-unitary dynamics of the open system is obtained through effective representations of the environment, paving the way to digital quantum simulations of quantum transport influenced by structured environments.
References in corpus (62)
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Quantum Computation and Decision Trees
- Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
- Universal computation by quantum walk
- Dephasing assisted transport: Quantum networks and biomolecules
- Exponential algorithmic speedup by quantum walk
- Environment-Assisted Quantum Transport
- Spatial search by quantum walk
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Realization of a quantum walk with one and two trapped ions
- Measurements with a noninvasive detector and dephasing mechanism
- Continuous-Time Quantum Walks: Models for Coherent Transport on Complex Networks
- IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
- Quantum walks on a programmable two-dimensional 62-qubit superconducting processor
- A simple model of quantum trajectories
- Quantum collision models: open system dynamics from repeated interactions
- Quantum Trajectories and Quantum Measurement Theory
- Variational quantum simulation of general processes
- Environment-assisted quantum transport in a 10-qubit network
- Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise
- Limits of quantum speedup in photosynthetic light harvesting
- A quantum algorithm for evolving open quantum dynamics on quantum computing devices
- Entropy production along nonequilibrium quantum jump trajectories
- Coherent quantum transport in disordered systems I: The influence of dephasing on the transport properties and absorption spectra on one-dimensional systems
- Localization and its consequences for quantum walk algorithms and quantum communication
- Enhancing quantum transport in a photonic network using controllable decoherence
- Collision model for non-Markovian quantum dynamics
- Quantum simulation of photosynthetic energy transfer
- Composite quantum collision models
- Studying Light-Harvesting Models with Superconducting Circuits
- Quantum algorithm for simulating the dynamics of an open quantum system
- All (qubit) decoherences: Complete characterization and physical implementation
- Collision models can efficiently simulate any multipartite Markovian quantum dynamics
- Qubit models of weak continuous measurements
- Quantum simulator of an open quantum system using superconducting qubits: exciton transport in photosynthetic complexes
- System-environment correlations and Markovian embedding of quantum non-Markovian dynamics
- Collision models in quantum optics
- Collision models in open system dynamics: A versatile tool for deeper insights?
- Continuous-time Quantum Walks on a Cycle Graph
- A general quantum algorithm for open quantum dynamics demonstrated with the Fenna-Matthews-Olson complex
- Environment-assisted quantum transport in ordered systems
- Universal simulation of Markovian open quantum systems
- Quantum walks of a phonon in trapped ions
- Non-Hermitian Hamiltonian approach to quantum transport in disordered networks with sinks: validity and effectiveness
- Solution of the Lindblad Equation in the Kraus Representation
- Towards Outperforming Classical Algorithms with Analog Quantum Simulators
- Thermal production, protection and heat exchange of quantum coherences
- Decoherence without entanglement and Quantum Darwinism
- Probing quantum coherence in ultrafast molecular processes: an ab initio approach to open quantum systems
- Effect of coherence of nonthermal reservoirs on heat transport in a microscopic collision model
- Interplay of different environments in open quantum systems: Breakdown of the additive approximation
- Quantum walks and quantum search on graphene lattices
- Quantum spatial search on graphs subject to dynamical noise
- Toward quantum simulations of biological information flow
- Stochastic unraveling of Redfield master equations and its application to electron transfer problems
- Stochastic collision model approach to transport phenomena in quantum networks
- Digital quantum simulation framework for energy transport in an open quantum system
- Quantum Simulation of a Quantum Stochastic Walk
- Quantum computing for classical problems: Variational Quantum Eigensolver for activated processes
- Quantum simulation dynamics and circuit synthesis of FMO complex on an NMR quantum computer
- Quantum simulation of FMO complex using one-parameter semigroup of generators
- Signatures of Anderson localization and delocalized random quantum states
Cited by in corpus (4)
- Simulating Non-Markovian Dynamics in Multidimensional Electronic Spectroscopy via Quantum Algorithm
- From Stochastic Hamiltonian to Quantum Simulation: Exploring Memory Effects in Exciton Dynamics
- On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians
- Environment-assisted modulation of heat flux in a bio-inspired system based on collision model