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 (23)
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
- 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
- Quantum simulation and computing with Rydberg-interacting qubits
- Novel schemes for measurement-based quantum computation
- Universal resources for measurement-based quantum computation
- Measurement-based quantum computation beyond the one-way model
- Prediction of Toric Code Topological Order from Rydberg Blockade
- Quantum phases of Rydberg atoms on a kagome lattice
- 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
- On measurement-based quantum computation with the toric code states
- Symmetry protection of measurement-based quantum computation in ground states
- Quantum computation in correlation space and extremal entanglement
- Universal measurement-based quantum computation in two-dimensional SPT phases
- Destroying a topological quantum bit by condensing Ising vortices