Algorithmic quantum simulation of memory effects
arXiv:1604.02992 · doi:10.1103/PhysRevA.95.020301
Abstract
We propose a method for the algorithmic quantum simulation of memory effects described by integrodifferential evolution equations. It consists in the systematic use of perturbation theory techniques and a Markovian quantum simulator. Our method aims to efficiently simulate both completely positive and nonpositive dynamics without the requirement of engineering non-Markovian environments. Finally, we find that small error bounds can be reached with polynomially scaling resources, evaluated as the time required for the simulation.
References in corpus (35)
- Non-Markovian dynamics in open quantum systems
- An introduction to quantum machine learning
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Positive Wigner functions render classical simulation of quantum computation efficient
- Digital quantum simulation of fermionic models with a superconducting circuit
- Digital quantum simulation of spin models with circuit quantum electrodynamics
- Estimating outcome probabilities of quantum circuits using quasiprobabilities
- Markovian and non-Markovian dynamics in quantum and classical systems
- Collision-model-based approach to non-Markovian quantum dynamics
- A dissipative quantum Church-Turing theorem
- Comparative study of non-Markovianity measures in exactly solvable one and two qubit models
- Quantum Semi-Markov Processes
- Linear Optics Simulation of Non-Markovian Quantum Dynamics
- Collision model for non-Markovian quantum dynamics
- Universal simulation of Markovian quantum dynamics
- Stochastic Representation of a Class of Non-Markovian Completely Positive Evolutions
- Quantum Memristors
- Efficient simulation of non-Markovian system-environment interaction
- Quantum Memristors with Superconducting Circuits
- Efficient Quantum Algorithm for Computing n-time Correlation Functions
- All-optical non-Markovian stroboscopic quantum simulator
- Universal simulation of Markovian open quantum systems
- Quantum Simulator for Transport Phenomena in Fluid Flows
- Sufficient conditions for memory kernel master equation
- Digital quantum simulation of many-body non-Markovian dynamics
- Dynamical Memory Effects in Correlated Quantum Channels
- Quantum Simulation of Dissipative Processes without Reservoir Engineering
- Advances in quantum machine learning
- Artificial Life in Quantum Technologies
- Biomimetic Cloning of Quantum Observables
- Embedding Quantum Simulators for Quantum Computation of Entanglement
- Measuring Entanglement in a Photonic Embedding Quantum Simulator
- Quantum simulations of dissipative dynamics: time-dependence instead of size
- Entanglement Measures in Ion-Trap Quantum Simulators without Full Tomography
Cited by in corpus (7)
- Digital-Analog Quantum Simulations with Superconducting Circuits
- Quantum Artificial Life in an IBM Quantum Computer
- Digital quantum simulation of many-body non-Markovian dynamics
- Analog simulator of integro-differential equations with classical memristors
- Quantum simulation of non-Markovianity using the quantum Zeno effect
- Quantum chemistry and charge transport in biomolecules with superconducting circuits
- Protected State Transfer via an Approximate Quantum Adder