Generation of complete graph states in a spin- Heisenberg chain with a globally optimized magnetic field
arXiv:2401.01986 · doi:10.1103/PhysRevA.109.042604
Abstract
Graph states possess significant practical value in measurement-based quantum computation, with complete graph states that exhibit exceptional performance in quantum metrology. In this work, we introduce a method for generating multiparticle complete graph states using a spin- Heisenberg chain subjected to a time-varying magnetic field, which applies to a wide range of systems. Our scheme relies exclusively on nearest-neighbor interactions between atoms, with real-time magnetic field formation facilitated by quantum optimal control theory. We focus specifically on neutral-atom systems, finding that multiparticle complete graph states with can be achieved in less than , utilizing a hopping amplitude of . This assumes an initial state provided by an equal-weight superposition of all spin states that are encoded by the dipolar interacting Rydberg states. Additionally, we thoroughly address various experimental imperfections and showcase the robustness of our approach against atomic vibrations, fluctuations in pulse amplitude, and spontaneous emission of Rydberg states. Considering the common occurrence of disturbances in experimental setups of neutral-atom systems, our one-step strategy for achieving such graph states emerges as a more empirically viable alternative to techniques based on controlled-Z gates.
arXiv commentaccepted by Physical Review A
References in corpus (57)
- Quantum Computing in the NISQ era and beyond
- Persistent entanglement in arrays of interacting particles
- Multi-party entanglement in graph states
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Quantum metrology from a quantum information science perspective
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- Training Schrödinger's cat: quantum optimal control
- Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Synthetic gauge fields in synthetic dimensions
- Probing entanglement entropy via randomized measurements
- Synthetic three-dimensional atomic structures assembled atom by atom
- Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
- High-fidelity parallel entangling gates on a neutral atom quantum computer
- Chiral groundstate currents of interacting photons in a synthetic magnetic field
- Spectral signatures of many-body localization with interacting photons
- Time-Domain Multiplexed 2-Dimensional Cluster State: Universal Quantum Computing Platform
- ARC: An open-source library for calculating properties of alkali Rydberg atoms
- Graph States for Quantum Secret Sharing
- Deterministic Generation of a Cluster State of Entangled Photons
- Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
- Sequential generation of entangled multi-qubit states
- Graphical description of the action of local Clifford transformations on graph states
- Experimental investigations of the dipolar interactions between single Rydberg atoms
- Continuous Symmetry Breaking in a Two-dimensional Rydberg Array
- Generation of Atomic Cluster States through the Cavity Input-Output Process
- Microwave-engineering of programmable XXZ Hamiltonians in arrays of Rydberg atoms
- Quantum secret sharing with qudit graph states
- Towards analog quantum simulations of lattice gauge theories with trapped ions
- Scalable spin squeezing in a dipolar Rydberg atom array
- Learning Robust and High-Precision Quantum Controls
- Ultrafast energy exchange between two single Rydberg atoms on the nanosecond timescale
- Robustness of high-fidelity Rydberg gates with single-site addressability
- Relaxation of an isolated dipolar-interacting Rydberg quantum spin system
- Graph States as a Resource for Quantum Metrology
- High fidelity entanglement of neutral atoms via a Rydberg-mediated single-modulated-pulse controlled-PHASE gate
- Supercharged two-dimensional tweezer array with more than 1000 atomic qubits
- Sequential generation of multiphoton entanglement with a Rydberg superatom
- Realizing the two-dimensional hard-core Bose-Hubbard model with superconducting qubits
- Scalable multilayer architecture of assembled single-atom qubit arrays in a three-dimensional Talbot tweezer lattice
- Observation of magnon bound states in the long-range, anisotropic Heisenberg model
- Experimental measurement-based quantum computing beyond the cluster-state model
- Creation and transfer of non-classical states of motion using Rydberg dressing of atoms in a lattice
- Generation of two-dimensional cluster states by using high-finesse bimodal cavities
- Characterizing Topological Excitations of a Long-Range Heisenberg Model with Trapped Ions
- Adiabatic Cluster State Quantum Computing
- Optimal preparation of quantum states on an atom chip device
- Time-Optimal Generation of Cluster States
- Quantum Hall states for Rydberg atoms with laser-assisted dipole-dipole interactions
- Topological graph states and quantum error correction codes
- A scheme for tunable quantum phase gate and effective preparation of graph-state entanglement
- Simulating the same physics with two distinct Hamiltonians
- Randomized Graph States and their Entanglement Properties
- Verification of graph states in an untrusted network
- Simulating long-distance entanglement in quantum spin chains by superconducting flux qubits
- Quantum control of Rydberg atoms for mesoscopic-scale quantum state and circuit preparation
- Identifying non-k-separability of a class of N-qubit complete graph states using correlation tensors