Adiabatic quantum trajectories in engineered reservoirs
arXiv:2311.11937 · doi:10.22331/q-2024-07-30-1428
Abstract
We analyze the efficiency of protocols for adiabatic quantum state transfer assisted by an engineered reservoir. The target dynamics is a quantum trajectory in the Hilbert space and is a fixed point of a time-dependent master equation in the limit of adiabatic dynamics. We specialize to quantum state transfer in a qubit and determine the optimal schedule for a class of time-dependent Lindblad equations. The speed limit on state transfer is extracted from a physical model of a qubit coupled to a reservoir, from which the Lindblad equation is derived in the Born-Markov limit. Our analysis shows that the resulting efficiency is comparable to the efficiency of the optimal unitary dynamics. Numerical studies indicate that reservoir-engineered protocols could outperform unitary protocols outside the regime of the Born-Markov master equation, namely, when correlations between the qubit and reservoir become relevant. Our study contributes to the theory of shortcuts to adiabaticity for open quantum systems and to the toolbox of protocols of the NISQ era.
Accepted for publication in Quantum; 14+7 pages, 7 figures
References in corpus (42)
- Quantum Computing in the NISQ era and beyond
- Adiabatic Quantum Computing
- An Open-System Quantum Simulator with Trapped Ions
- Shortcuts to adiabaticity: concepts, methods, and applications
- Open Quantum Systems. An Introduction
- Stimulated Raman adiabatic passage in physics, chemistry and beyond
- Preparation of Entangled States by Quantum Markov Processes
- Quantum Search by Local Adiabatic Evolution
- Entanglement generated by dissipation and steady state entanglement of two macroscopic objects
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Optimal Control at the Quantum Speed Limit
- Quantum speed limits in open system dynamics
- High-fidelity quantum driving
- Spectral theory of Liouvillians for dissipative phase transitions
- Dissipative production of a maximally entangled steady state
- Quantum Adiabatic Markovian Master Equations
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Generation of EPR-entangled radiation through an atomic reservoir
- Speed limit for open quantum systems
- Geometry and response of Lindbladians
- Zeno effect for quantum computation and control
- Entanglement distillation by dissipation and continuous quantum repeaters
- Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit
- Quantum Zeno dynamics of a field in a cavity
- Adiabaticity in open quantum systems
- Measurement-induced steering of quantum systems
- Focus on Shortcuts to Adiabaticity
- Superadiabatic dynamics in open quantum systems
- Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution
- Dissipative quantum control of a spin chain
- Adiabatic theorems for generators of contracting evolutions
- A Tutorial on Optimal Control and Reinforcement Learning methods for Quantum Technologies
- Adiabatic response for Lindblad dynamics
- Quantum response of dephasing open systems
- Dissipation in adiabatic quantum computers: Lessons from an exactly solvable model
- Trade off-Free Entanglement Stabilization in a Superconducting Qutrit-Qubit System
- Adiabatic perturbation theory: from Landau-Zener problem to quenching through a quantum critical point
- Relaxation vs. adiabatic quantum steady state preparation: which wins?
- Adiabatic Quantum Search in Open Systems
- Optimal parametrizations of adiabatic paths
- Reservoir-engineering shortcuts to adiabaticity
- On Landau-Zener transitions for dephasing Lindbladians
Cited by in corpus (5)
- Controlling the dynamics of atomic correlations via the coupling to a dissipative cavity
- Causality, localization, and universality of monitored quantum walks with long-range hopping
- Speeding up Quantum Annealing with Engineered Dephasing
- Quantum Dissipative Search via Lindbladians
- Dissipative Generation of Currents by Nonreciprocal Local and Global Environments