Coherent-cluster-state generation in networks of degenerate optical parametric oscillators
arXiv:2301.13666 · doi:10.1103/PhysRevA.108.023704
Abstract
Cluster states are versatile quantum resources and an essential building block for measurement-based quantum computing. The possibility to generate cluster states in specific systems may thus serve as an indicator regarding if and to what extent these systems can be harnessed for quantum technologies and quantum information processing in particular. Here, we apply this analysis to networks of degenerate optical parametric oscillators (DOPOs), also called coherent Ising machines (CIMs). CIMs are distinguished by their highly flexible coupling capabilities, which makes it possible to use them, e.g., to emulate large spin systems. As CIMs typically operate with coherent states (and superpositions thereof), it is natural to consider cluster states formed by superpositions of coherent states, i.e., coherent cluster states. As we show, such coherent cluster states can, under ideal conditions, be generated in DOPO networks with the help of beam splitters and classical pumps. Our subsequent numerical analysis provides the minimum requirements for the generation of coherent cluster states under realistic conditions. Moreover, we discuss how nonequilibrium pumps can improve the generation of coherent cluster states. In order to assess the quality of the cluster-state generation, we map the generated states to an effective spin space using modular variables, which allows us to apply entanglement criteria tailored for spin-based cluster states.
arXiv comment13 pages, 9 figures
References in corpus (71)
- Entanglement detection
- Persistent entanglement in arrays of interacting particles
- Encoding a qubit in an oscillator
- Optical Quantum Computing
- Multi-party entanglement in graph states
- Universal Quantum Computation with Continuous-Variable Cluster States
- Resource-efficient linear optical quantum computation
- Experimental entanglement of six photons in graph states
- Ultrahigh-efficiency second-harmonic generation in nanophotonic PPLN waveguides
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
- Confining the state of light to a quantum manifold by engineered two-photon loss
- Network of Time-Multiplexed Optical Parametric Oscillators as a Coherent Ising Machine
- Witnessing multipartite entanglement
- Time-Domain Multiplexed 2-Dimensional Cluster State: Universal Quantum Computing Platform
- Deterministic Generation of a Cluster State of Entangled Photons
- A Coherent Ising Machine Based On Degenerate Optical Parametric Oscillators
- Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
- Qubit-oscillator systems in the ultrastrong-coupling regime and their potential for preparing nonclassical states
- Stability of macroscopic entanglement under decoherence
- Cluster States for Continuous-Variable Multipartite Entanglement
- Experimental Analysis of a 4-Qubit Cluster State
- Entanglement Detection in the Stabilizer Formalism
- Experimental Preparation of Quadripartite Cluster and GHZ Entangled States for Continuous Variables
- Large-scale Ising spin network based on degenerate optical parametric oscillators
- Experimental generation of four-mode continuous-variable cluster states
- Building Gaussian Cluster States by Linear Optics
- Loss tolerance in one-way quantum computation via counterfactual error correction
- Shortcuts to Adiabaticity for the Quantum Rabi Model: Efficient Generation of Giant Entangled cat States via Parametric Amplification
- Femtojoule, femtosecond all-optical switching in lithium niobate nanophotonics
- Realization and characterization of a 2-photon 4-qubit linear cluster state
- Resource costs for fault-tolerant linear optical quantum computing
- Deterministic generation of all-photonic quantum repeaters from solid-state emitters
- Fabrication of low-loss quasi-single-mode PPLN waveguide and its application to a modularized broadband high-level squeezer
- Josephson parametric phase-locked oscillator and its application to dispersive readout of superconducting qubits
- Generating Large Cats with Nine Lives: Long-Lived Macroscopically Distinct Superposition States in Atomic Ensembles
- Producing cluster states in charge qubits and flux qubits
- Quantum dynamics of a few-photon parametric oscillator
- State-dependent photon blockade via quantum-reservoir engineering
- Optical one-way quantum computing with a simulated valence-bond solid
- Efficient one-step generation of large cluster states with solid-state circuits
- Entanglement Detection in Optical Lattices of Bosonic Atoms with Collective Measurements
- Cluster States From Heisenberg Interaction
- Efficient quantum circuits for one-way quantum computing
- Sequential modular position and momentum measurements of a trapped ion mechanical oscillator
- Modular Bosonic Subsystem Codes
- Non-Abelian effects in dissipative photonic topological lattices
- Cluster-type entangled coherent states
- A Quantum Model for Coherent Ising Machines: Discrete-time Measurement Feedback Formulation
- Reduced models and design principles for half-harmonic generation in synchronously-pumped optical parametric oscillators
- Weaving quantum optical frequency combs into continuous-variable hypercubic cluster states
- Detecting entanglement in spatial interference
- Experimental Observation of Quantum Correlations in Modular Variables
- Quantum information processing in phase space: A modular variables approach
- Measurement-based classical computation
- Parameter estimation with cluster states
- Overcoming decoherence of cat-states formed in a cavity using squeezed-state inputs
- Temporal-mode continuous-variable 3-dimensional cluster state for topologically-protected measurement-based quantum computation
- Generating and detecting entangled cat states in dissipatively coupled degenerate optical parametric oscillators
- The Wigner Current for Open Quantum Systems
- Demonstration of Cluster State Shaping and Quantum Erasure for Continuous Variables
- Encoding many qubits in a rotor
- Spatiotemporal graph states from a single optical parametric oscillator
- Deterministic one-way logic gates on a cloud quantum computer
- Generation and structuring of multipartite entanglement in Josephson parametric system
- Continuous-variable graph states for quantum metrology
- Hidden qubit cluster states
- Nonlocal Young tests with Einstein-Podolsky-Rosen correlated particle pairs
- Robust and scalable optical one-way quantum computation
- Uncertainty in the context of multislit interferometry
- Enhancing dissipative cat-state generation via nonequilibrium pump fields