Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation
arXiv:2207.04412 · doi:10.1063/5.0111578
Abstract
We show that the quantum dimer state on the Kagome lattice, which was recently realized with high fidelity in a Rydberg quantum simulator [Semeghini et al., Science 374, 6572 (2021)], offers a sufficient resource for universal measurement-based quantum computations. In particular, we provide an efficient encoding of logical qubits in this state, and give explicit measurement sequences that implement a universal set of gates on these qubits. Since the building blocks of the proposed measurements have already been experimentally implemented, our work highlights one possible path towards promoting Rydberg simulators to universal quantum computers relying on the measurement-based model of quantum computation with currently existing technology.
References in corpus (43)
- Anyons in an exactly solved model and beyond
- Quantum Simulation
- Quantum Teleportation is a Universal Computational Primitive
- Measurement-based quantum computation with cluster states
- Measurement-based quantum computation
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
- A Rydberg Quantum Simulator
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
- Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
- Criticality, the area law, and the computational power of PEPS
- Quantum Simulators: Architectures and Opportunities
- Synthetic three-dimensional atomic structures assembled atom by atom
- Cluster-state quantum computation
- Quantum simulation and computing with Rydberg-interacting qubits
- Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory
- Novel schemes for measurement-based quantum computation
- Universal resources for measurement-based quantum computation
- Measurement-based quantum computation beyond the one-way model
- Universal quantum computation using only projective measurement, quantum memory, and preparation of the 0 state
- Prediction of Toric Code Topological Order from Rydberg Blockade
- Quantum phases of Rydberg atoms on a kagome lattice
- How to generate random matrices from the classical compact groups
- Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource
- Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
- Resonating valence bond states in the PEPS formalism
- An introduction to measurement based quantum computation
- Using Quantum Computers for Quantum Simulation
- Quantum computational capability of a 2D valence bond solid phase
- Triplet and Singlet Excitations in the Valence Bond Crystal Phase of Kagome Lattice Heisenberg Model
- A computationally universal phase of quantum matter
- Computational Power of Symmetry-Protected Topological Phases
- Gapped Two-body Hamiltonian whose Unique Ground State is Universal for One-way Quantum Computation
- Effective Quantum Dimer Model for the Kagome Heisenberg Antiferromagnet: Nearby Quantum Critical Point and Hidden Degeneracy
- On measurement-based quantum computation with the toric code states
- Symmetry protection of measurement-based quantum computation in ground states
- Measurement-based quantum computation in a 2D phase of matter
- Quantum computation in correlation space and extremal entanglement
- Symmetry-protected topologically ordered states for universal quantum computation
- Universal measurement-based quantum computation in two-dimensional SPT phases
- Emergence of the XY-like phase in the deformed spin-3/2 AKLT systems
- Destroying a topological quantum bit by condensing Ising vortices