Preparation of Entangled States by Quantum Markov Processes

Abstract

We investigate the possibility of using a dissipative process to prepare a quantum system in a desired state. We derive for any multipartite pure state a dissipative process for which this state is the unique stationary state and solve the corresponding master equation analytically. For certain states, like the Cluster states, we use this process to show that the jump operators can be chosen quasi-locally, i.e. they act non-trivially only on a few, neighboring qubits. Furthermore, the relaxation time of this dissipative process is independent of the number of subsystems. We demonstrate the general formalism by considering arbitrary MPS-PEPS states. In particular, we show that the ground state of the AKLT-model can be prepared employing a quasi--local dissipative process.

minor changes, references added, appendix removed

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• Asymptotic Exceptional Steady States in Dissipative Dynamics
• Digital Quantum Simulation of the Lindblad Master Equation and Its Nonlinear Extensions via Quantum Trajectory Averaging
• $\eta$-pairing states in the Hubbard model with non-uniform Hubbard interaction
• Aperiodic Dissipation as a Mechanism for Steady-State Localization
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
• A General Strategy for Realizing Mpemba Effects in Open Quantum Systems
• Improving quantum metrology protocols with programmable photonic circuits
• Generating Symmetry-Protected Long-Range Entanglement in Many-Body Systems
• Synthesizing electromagnetically induced transparency without a control field in waveguide QED using small and giant atoms
• Entanglement Generation and Stabilization by Coherent Collisions
• Strong Markov dissipation in driven-dissipative quantum systems
• Instability of the engineered dark state in two-band fermions under number-conserving dissipative dynamics
• Spectral stabilizability
• Dissipative cooling towards phantom Bethe states in boundary driven XXZ spin chain
• Alternating Projections Methods for Discrete-time Stabilization of Quantum States
• Method of spectral Green functions in driven open quantum dynamics
• Exact Many-body Quantum Dynamics in One-Dimensional Baths via Collective Spins
• Integrals of motion as slow modes in dissipative many-body operator dynamics
• Constructing k-local parent Lindbladians for matrix product density operators
• Reconfigurable dissipative entanglement between many spin ensembles: from robust quantum sensing to many-body state engineering
• Extending third quantization with commuting observables: a dissipative spin-boson model
• Asymptotic dynamics in the Heisenberg picture: attractor subspace and Choi-Effros product
• Anomalous decoherence effects in driven coupled quantum spin systems
• Quantum correlated steady states under competing collective and individual decay
• Resolving mean-field solutions of dissipative phase transitions using permutational symmetry
• Dissipative ground state preparation in ab initio electronic structure theory
• Dissipative Dynamics in Open Fermionic Chains
• Digital Quantum Simulations of the Non-Resonant Open Tavis-Cummings Model
• Parent Lindbladians for Matrix Product Density Operators
• Metastable ferromagnetic clusters in dissipative many-body systems of polar molecules
• Dissipative Generation of Currents by Nonreciprocal Local and Global Environments
• A Generalized Quantum Optical Scheme for Implementing Open Quantum Walks
• Diffusion in quantum state preparation: From passive cooling to system-bath engineering
• Asymptotic freedom, lost: Complex conformal field theory in the two-dimensional $O(N>2)$ nonlinear sigma model and its realization in Heisenberg spin chains
• Emergence of Rich Dissipative Phases in the Anisotropic Quantum Rabi Model Driven by the $A^2$ Term
• Decoherence Cancellation through Noise Interference
• Lindbladian reverse engineering for general non-equilibrium steady states: A scalable null-space approach
• Chiral Instabilities in Driven-Dissipative Quantum Liquids
• Bounding fidelity in quantum feedback control: theory and applications to Dicke state preparation
• Creating Quantum Cluster States embedded in ancillary baths
• $\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states
• Dynamics of Quantum Coherence and Non-Classical Correlations in Open Quantum System Coupled to a Squeezed Thermal Bath
• Dissipation-Driven Transition of Particles from Dispersive to Flat Bands
• Feedback cooling of fermionic atoms in optical lattices
• Efficient steady state entanglement generation in strongly driven coupled qubits
• A Lie Theoretic Framework for Controlling Open Quantum Systems
• Engineering quasi-steady-state correlations in uncorrelated thermal states using stochastic driving
• All-optical implementation of collision-based evolutions of open quantum systems
• Some aspects of the interplay between bipartite correlations and quantum channels
• Robust Tripartite Entanglement Generation via Correlated Noise in Spin Qubits
• Nonequilibrium dark space phase transition
• Quantum Simulation of Two-Level $PT$-Symmetric Systems Using Hermitian Hamiltonians
• Distributed finite-time stabilization of entangled quantum states on tree-like hypergraphs