Geometry, robustness, and emerging unitarity in dissipation-projected dynamics
arXiv:1412.6198 · doi:10.1103/PhysRevA.91.052324
Abstract
Quantum information can be encoded in the set of steady-states (SSS) of a driven-dissipative system. Non steady-states are separated by a large dissipative gap that adiabatically decouples them way while the dynamics inside the SSS is governed by an effective, dissipation-projected, Hamiltonian. The latter results from a highly non-trivial interplay between a weak driving with the fast relaxation process that continuously projects the system back to the SSS. This amounts to a novel type of environment-induced quantum Zeno effect. We prove that the dissipation-projected dynamics is of geometric nature and that it is robust against different types of hamiltonian and dissipative perturbations. Remarkably, in some cases an effective unitary dynamics can emerge out of purely dissipative interactions.
8 pages, 3 figures
References in corpus (32)
- Decoherence Free Subspaces for Quantum Computation
- Dynamical Decoupling of Open Quantum Systems
- Noiseless Quantum Codes
- An Open-System Quantum Simulator with Trapped Ions
- Holonomic Quantum Computation
- A Theory of Quantum Error-Correcting Codes
- Geometric quantum computation with NMR
- Geometric Manipulation of Trapped Ions for Quantum Computation
- Preparation of Entangled States by Quantum Markov Processes
- Keeping a Quantum Bit Alive by Optimized -Pulse Sequences
- Fault-Tolerant Quantum Dynamical Decoupling
- Quantum Zeno subspaces
- Quantum Computing Using Dissipation to Remain in a Decoherence-Free Subspace
- Dissipative preparation of entanglement in optical cavities
- Symmetrizing Evolutions
- Non-Abelian Berry connections for quantum computation
- A Unified and Generalized Approach to Quantum Error Correction
- Topology by dissipation
- Stabilizing Quantum Information
- Constrained dynamics via the Zeno effect in quantum simulation: Implementing non-Abelian lattice gauge theories with cold atoms
- Analysis of quantum semigroups with GKS--Lindblad generators II. General
- Dissipation and Decoherence in a Quantum Register
- Zeno effect for quantum computation and control
- Coherent quantum dynamics in steady-state manifolds of strongly dissipative systems
- Topological Protection and Quantum Noiseless Subsystems
- Quantum Computing in Plato's Cave
- Adiabatic Markovian Dynamics
- Computation on a Noiseless Quantum Code and Symmetrization
- Coherent evolution via reservoir driven holonomy
- Non-Abelian Phases from a Quantum Zeno Dynamics
- Quantum Zeno Effect of General Quantum Operations
- Excitation transfer through open quantum networks: a few basic mechanisms
Cited by in corpus (32)
- Towards a theory of metastability in open quantum dynamics
- Geometry and response of Lindbladians
- Holonomic quantum control with continuous variable systems
- Adiabaticity in open quantum systems
- Zeno Hall Effect
- Theory of classical metastability in open quantum systems
- Accelerating relaxation through Liouvillian exceptional point
- Quantum Zeno Dynamics from General Quantum Operations
- Dissipative Universal Lindbladian Simulation
- Implementation-independent sufficient condition of the Knill-Laflamme type for the autonomous protection of logical qudits by strong engineered dissipation
- Generalized Adiabatic Theorem and Strong-Coupling Limits
- Open dynamics under rapid repeated interaction
- Dynamical Response Theory for Driven-Dissipative Quantum Systems
- Universal scheme for indirect quantum control
- Eternal Adiabaticity
- Modular Quantum Information Processing by Dissipation
- Universal Control Induced by Noise
- Long-Time Error-Mitigating Simulation of Open Quantum Systems on Near Term Quantum Computers
- Targeting pure quantum states by strong noncommutative dissipation
- Dissipative quantum state preparation and metastability in two-photon micromasers
- Accuracy of the adiabatic-impulse approximation for closed and open quantum systems
- Metastable decoherence-free subspaces and electromagnetically induced transparency in interacting many-body systems
- Dissipative generation of pure steady states and a gambler's ruin problem
- Dynamical fidelity susceptibility of decoherence-free subspaces
- Number of steady states of quantum evolutions
- Emerging unitary evolutions in dissipatively coupled systems
- Exact steady state of perturbed open quantum systems
- Dissipative quantum many-body dynamics in (1+1)D quantum cellular automata and quantum neural networks
- Lindbladians with multiple steady states: theory and applications
- General approach to find steady-state manifolds in Markovian and non-Markovian systems
- Interpolated Collision Model Formalism
- Lindbladian purification