Topology of Discrete Quantum Feedback Control
arXiv:2403.08406 · doi:10.1103/PhysRevX.15.021016
Abstract
A general framework for analyzing the topology of quantum channels of single-particle systems is developed to find a class of genuinely dynamical topological phases that can be realized by means of discrete quantum feedback control. We provide a symmetry classification of quantum channels by identifying ten symmetry classes of discrete quantum feedback control with projective measurements. We construct various types of topological feedback control by using topological Maxwell demons that achieve robust feedback-controlled chiral or helical transport against noise and decoherence. Topological feedback control thus offers a versatile tool for creating and controlling nonequilibrium topological phases in open quantum systems that are distinct from non-Hermitian and Lindbladian systems and should provide a guiding principle for topology-based design of quantum feedback control.
arXiv comment43 pages, 24 figures. v2: new results and discussions added. v3: published version
References in corpus (87)
- Quantum Spin Hall Effect in Graphene
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Topological Photonics
- Classification of topological insulators and superconductors in three spatial dimensions
- Classification of topological quantum matter with symmetries
- Probing many-body dynamics on a 51-atom quantum simulator
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Edge states and topological invariants of non-Hermitian systems
- Quantum Spin Hall Effect
- Periodic table for topological insulators and superconductors
- Floquet Topological Insulator in Semiconductor Quantum Wells
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Localization transitions in non-Hermitian quantum mechanics
- Topological phases of non-Hermitian systems
- Photovoltaic Hall effect in graphene
- Symmetry and Topology in Non-Hermitian Physics
- Topological Origin of Non-Hermitian Skin Effects
- Topological characterization of periodically-driven quantum systems
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Logical quantum processor based on reconfigurable atom arrays
- Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
- Anomalous edge state in a non-Hermitian lattice
- Non-Bloch Band Theory of Non-Hermitian Systems
- Floquet Engineering of Quantum Materials
- Information heat engine: converting information to energy by feedback control
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Correspondence between winding numbers and skin modes in non-hermitian systems
- Quantum trajectories and open many-body quantum systems
- An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
- Zoo of quantum-topological phases of matter
- Open Quantum Systems. An Introduction
- Non-Hermitian Boundary Modes
- The Helical Liquid and the Edge of Quantum Spin Hall Systems
- Single-Spin Addressing in an Atomic Mott Insulator
- Vortex Pinning and Non-Hermitian Quantum Mechanics
- Real-time quantum feedback prepares and stabilizes photon number states
- Exploring Topological Phases With Quantum Walks
- Synthetic three-dimensional atomic structures assembled atom by atom
- Generalized Jarzynski Equality under Nonequilibrium Feedback Control
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Edge states and topological phases in non-Hermitian systems
- Topological acoustics
- Second Law of Thermodynamics with Discrete Quantum Feedback Control
- Symmetries and conserved quantities in Lindblad master equations
- Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
- Experimental realization of a Szilard engine with a single electron
- Non-Hermitian topological phenomena: A review
- Real-time optimal quantum control of mechanical motion at room temperature
- Topological active matter
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Periodic Table for Floquet Topological Insulators
- Quantum control of a nanoparticle optically levitated in cryogenic free space
- Controlling the dynamics of an open many-body quantum system with localized dissipation
- Topological singularities and the general classification of Floquet-Bloch systems
- Topological Non-Hermitian skin effect
- Non-Hermitian Delocalization and Eigenfunctions
- Experimental study of mutual information in a Maxwell Demon
- Topology by dissipation
- Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
- Observing a quantum Maxwell demon at work
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Repeated quantum error correction on a continuously encoded qubit by real-time feedback
- Topology and Broken Symmetry in Floquet Systems
- Tenfold Way for Quadratic Lindbladians
- Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
- Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
- Photonic Maxwell's demon
- Experimental rectification of entropy production by a Maxwell's Demon in a quantum system
- An omniscient Maxwell's demon
- Information-to-work conversion by Maxwell's demon in a superconducting circuit-QED system
- Information gain and loss for a quantum Maxwell's demon
- Resolving Discrepancy between Liouvillian Gap and Relaxation Time in Boundary-Dissipated Quantum Many-Body Systems
- Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
- Quantized conductance through a dissipative atomic point contact
- Unconditional quantum-noise suppression via measurement-based quantum feedback
- Non-Gaussian correlations imprinted by local dephasing in fermionic wires
- Maximizing power and velocity of an information engine
- Symmetry Classification of Many-Body Lindbladians: Tenfold Way and Beyond
- Orthogonality catastrophe in dissipative quantum many body systems
- Floquet chiral magnetic effect
- Symmetry and topological classification of Floquet non-Hermitian systems
- Recoil-limited feedback cooling of single nanoparticles near the ground state in an optical lattice
- Superfluid signatures in a dissipative quantum point contact
- Topological phases protected by shifted sublattice symmetry in dissipative quantum systems
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- Symmetry and Topology of Monitored Quantum Dynamics
- Liouvillian topology and nonreciprocal dynamics in open Floquet chains
- Symmetry and Topology of Successive Quantum Feedback Control
- Dissipative quantum North-East-Center model: steady-state phase diagram, universality and nonergodic dynamics
- Liouvillian skin effects in two-dimensional electron systems at finite temperatures