Dissipative engineering of Gaussian entangled states in harmonic lattices with a single-site squeezed reservoir

Abstract

We study the dissipative preparation of many-body entangled Gaussian states in bosonic lattice models which could be relevant for quantum technology applications. We assume minimal resources, represented by systems described by particle-conserving quadratic Hamiltonians, with a single localized squeezed reservoir. We show that in this way it is possible to prepare, in the steady state, the wide class of pure states which can be generated by applying a generic passive Gaussian transformation on a set of equally squeezed modes. This includes non-trivial multipartite entangled states such as cluster states suitable for measurement-based quantum computation.

arXiv commenttypos corrected

References in corpus (49)

• Topological Photonics
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• An Open-System Quantum Simulator with Trapped Ions
• Universal Quantum Computation with Continuous-Variable Cluster States
• A Rydberg Quantum Simulator
• Preparation of Entangled States by Quantum Markov Processes
• Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
• Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
• Topology by Dissipation in Atomic Quantum Wires
• Squeezing as an irreducible resource
• Experimental realization of multipartite entanglement of 60 modes of a quantum optical frequency comb
• Time-Domain Multiplexed 2-Dimensional Cluster State: Universal Quantum Computing Platform
• Deterministic generation of a two-dimensional cluster state
• A Dissipatively Stabilized Mott Insulator of Photons
• Quantum Computing with Continuous-Variable Clusters
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Controlling the dynamics of an open many-body quantum system with localized dissipation
• One-Way Quantum Computing in the Optical Frequency Comb
• Cold hybrid ion-atom systems
• Building Gaussian Cluster States by Linear Optics
• Constrained dynamics via the Zeno effect in quantum simulation: Implementing non-Abelian lattice gauge theories with cold atoms
• Temporal-mode continuous-variable cluster states using linear optics
• Scalable Dissipative Preparation of Many-Body Entanglement
• Coherent quantum dynamics in steady-state manifolds of strongly dissipative systems
• Ultracompact Generation of Continuous-Variable Cluster States
• Optical pumping into many-body entanglement
• Cooling and Autonomous Feedback in a Bose-Hubbard chain with Attractive Interactions
• Arbitrarily Large Continuous-Variable Cluster States from a Single Quantum Nondemolition Gate
• Dissipation-induced pure Gaussian state
• Dissipative quantum control of a spin chain
• One-way quantum computing with arbitrarily large time-frequency continuous-variable cluster states from a single optical parametric oscillator
• The Optical Frequency Comb as a One-Way Quantum Computer
• Precisely timing dissipative quantum information processing
• Zeno Hall Effect
• Universal quantum computation with temporal-mode bilayer square lattices
• Orthogonality catastrophe in dissipative quantum many body systems
• Quantum-Computing Architecture based on Large-Scale Multi-Dimensional Continuous-Variable Cluster States in a Scalable Photonic Platform
• Mechanical EPR entanglement with a finite-bandwidth squeezed reservoir
• Entanglement replication in driven-dissipative many body systems
• Optimization of networks for measurement-based quantum computation
• Steady-state nested entanglement structures in harmonic chains with single-site squeezing manipulation
• A limit formula for the quantum fidelity
• Reservoir engineering of bosonic lattices using chiral symmetry and localized dissipation
• Reservoir engineering with localized dissipation: dynamics and pre-thermalization
• Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process
• Non-Markovian dynamics and steady-state entanglement of cavity arrays in finite-bandwidth squeezed reservoirs
• Implementing quantum algorithms on temporal photonic cluster states
• Possibility to generate any Gaussian cluster state by a multi-mode squeezing transformation
• An algorithm for tailoring a quadratic lattice with a local squeezed reservoir to stabilize generic chiral states with non-local entanglement

Cited by in corpus (16)

• Topological lattices realized in superconducting circuit optomechanics
• Generating stable spin squeezing by squeezed-reservoir engineering
• Stabilizing volume-law entangled states of fermions and qubits using local dissipation
• Exact Results for a Boundary-Driven Double Spin Chain and Resource-Efficient Remote Entanglement Stabilization
• Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions
• Generation and structuring of multipartite entanglement in Josephson parametric system
• Continuous variable multipartite vibrational entanglement
• Entanglement Emerges from Dissipation-Structured Quantum Self-Organization
• Trajectory tracking for non-Markovian quantum systems
• Dissipative stabilization of entangled qubit pairs in quantum arrays with a single localized dissipative channel
• Universal Time-Entanglement Trade-off in Open Quantum Systems
• Initial-state-dependent quantum speed limit for dissipative state preparation: Framework and optimization
• Generation of stable Gaussian cluster states in optomechanical systems with multifrequency drives
• Macroscopic distant magnon-mode entanglement via a squeezed drive
• Multimode Gaussian steady state engineering in optomechanical systems with a squeezed reservoir
• Stability via symmetry breaking in interacting driven systems