Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes
arXiv:2402.12956 · doi:10.1103/PhysRevResearch.6.033333
Abstract
We discuss time-optimal control problems for two setups involving globally driven Rydberg atoms in the blockade limit by deriving the associated Hamilton-Jacobi-Bellman equations. From these equations, we extract the globally optimal trajectories and the corresponding controls for several target processes of the atomic system, using a generalized method of characteristics. We apply this method to retrieve known results for CZ and C-phase gates, and to find new optimal pulses for all elementary processes involved in the universal quantum computation scheme introduced in [Physical Review Letters 131, 170601 (2023)].
References in corpus (40)
- Quantum Computing in the NISQ era and beyond
- Surface codes: Towards practical large-scale quantum computation
- Quantum information with Rydberg atoms
- Topological quantum memory
- Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
- Fast quantum gates for neutral atoms
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Logical quantum processor based on reconfigurable atom arrays
- Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
- Observation of Rydberg blockade between two atoms
- A Rydberg Quantum Simulator
- Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
- Entanglement of two individual neutral atoms using Rydberg blockade
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
- Demonstration of multi-qubit entanglement and algorithms on a programmable neutral atom quantum computer
- High-fidelity parallel entangling gates on a neutral atom quantum computer
- Quantum computing with neutral atoms
- Quantum Optimization of Maximum Independent Set using Rydberg Atom Arrays
- High-Fidelity Entanglement and Detection of Alkaline-Earth Rydberg Atoms
- Quantum simulation and computing with Rydberg-interacting qubits
- High-fidelity gates with mid-circuit erasure conversion in a metastable neutral atom qubit
- Erasure conversion for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays
- Entangling two atoms of different isotopes via Rydberg blockade
- Ytterbium nuclear-spin qubits in an optical tweezer array
- Mid-circuit correction of correlated phase errors using an array of spectator qubits
- Symmetric Rydberg controlled-Z gates with adiabatic pulses
- High fidelity entanglement of neutral atoms via a Rydberg-mediated single-modulated-pulse controlled-PHASE gate
- Deutsch, Toffoli, and CNOT Gates via Rydberg Blockade of Neutral Atoms
- Demonstration of a Quantum Gate using Electromagnetically Induced Transparency
- Realizing distance-selective interactions in a Rydberg-dressed atom array
- Optimizing Rydberg Gates for Logical Qubit Performance
- Spatially tunable spin interactions in neutral atom arrays
- Quantum simulation of Ising spins on Platonic graphs
- Robust control and optimal Rydberg states for neutral atom two-qubit gates
- Universal Quantum Computation in Globally Driven Rydberg Atom Arrays
- Protocols for Rydberg entangling gates featuring robustness against quasi-static errors
- Neutral atom entanglement using adiabatic Rydberg dressing
- High-fidelity Rydberg controlled-Z gates with optimal pulses
- Interspecies Förster resonances of Rb-Cs Rydberg -states for enhanced multi-qubit gate fidelities