Time-dependent Rabi frequencies to protect quantum operations on an atomic qutrit by continuous dynamical decoupling
arXiv:2212.07545 · doi:10.1103/PhysRevA.109.032611
Abstract
We investigate the form required for the time-dependent Rabi frequencies involved in a procedure capable to protect the action of quantum gates on an atomic qutrit by means of external fields continuously decoupling the system from the environmental noise. Several simulations are considered to protect the action of quantum-gate models, including randomly chosen ones. We argue that the requirements for the Rabi frequencies could be nowadays experimentally met. We also investigate the transition from one gate operation to another, including protecting a qutrit memory state. We finally apply our methodology to protect from noise the application of an algorithm capable of distinguishing the parity of permutations of three elements.
arXiv comment14 pages, 16 figures. Updated version close to the published one
References in corpus (41)
- Dynamical Decoupling of Open Quantum Systems
- Dynamical suppression of decoherence in two-state quantum systems
- Security of quantum key distribution using d-level systems
- Bell inequalities for arbitrarily high dimensional systems
- A simple formula for the average gate fidelity of a quantum dynamical operation
- Demonstration of the trapped-ion quantum-CCD computer architecture
- Quantum cryptography with 3-state systems
- Optimal eavesdropping in cryptography with three-dimensional quantum states
- Universal Control of Decoupled Quantum Systems
- Dynamical decoupling noise spectroscopy
- Efficient Toffoli Gates Using Qudits
- Coherence in Microchip Traps
- Generation of maximally entangled states of qudits using twin photons
- Control of decoherence: analysis and comparison of three different strategies
- Spin self-rephasing and very long coherence times in a trapped atomic ensemble
- Enhanced fault-tolerant quantum computing in -level systems
- Magic state distillation in all prime dimensions using quantum Reed-Muller codes
- Photon number resolving detection using time-multiplexing
- Asymptotically Optimal Quantum Circuits for d-level Systems
- Quantum Control of the Hyperfine Spin of a Cs Atom Ensemble
- Universal simulation of Hamiltonian dynamics for qudits
- Environmental noise spectroscopy with qubits subjected to dynamical decoupling
- Computational speed-up with a single qudit
- Computational speed-up in a single qudit NMR quantum information processor
- Arbitrary Control of Entanglement between Two Superconducting Resonators
- Efficient Quantum Circuits for Non-Qubit Quantum Error-Correcting Codes
- Continuously decoupling single-qubit operations from a perturbing thermal bath of scalar bosons
- Qudit Quantum Computation in the Jaynes-Cummings Model
- Quantum logic gates for superconducting resonator qudits
- Direct measurement of excited-state dipole matrix elements using electromagnetically induced transparency in the hyperfine Paschen-Back regime
- Quantum Optimal Control of Nuclear Spin Qudecimals in
- Qudit-Basis Universal Quantum Computation using Interactions
- Error Thresholds for Abelian Quantum Double Models: Increasing the bit-flip Stability of Topological Quantum Memory
- Control of inhomogeneous atomic ensembles of hyperfine qudits
- Protection of entanglement from sudden death using continuous dynamical decoupling
- Protecting the operation from general and residual errors by continuous dynamical decoupling
- Protecting qudit operations from noise by continuous dynamical decoupling
- Continuously decoupling a Hadamard quantum gate from independent classes of errors
- Ancilla-driven quantum computation for qudits and continuous variables
- Raman transitions between hyperfine clock states in a magnetic trap
- Continuous dynamical decoupling and decoherence-free subspaces for qubits with tunable interaction