Information flow and error scaling for fully-quantum control
arXiv:2012.06234 · doi:10.1103/PhysRevResearch.4.023027
Abstract
The optimally designed control of quantum systems is playing an increasingly important role to engineer novel and more efficient quantum technologies. Here, in the scenario represented by controlling an arbitrary quantum system via the interaction with an another optimally initialized auxiliary quantum system, we show that the quantum channel capacity sets the scaling behaviour of the optimal control error. Specifically, we prove that the minimum control error is ensured by maximizing the quantum capacity of the channel mapping the initial control state into the target state of the controlled system, i.e., optimizing the quantum information flow from the controller to the system to be controlled. Analytical results, supported by numerical evidences, are provided when the systems and the controller are either qubits or single Bosonic modes and can be applied to a very large class of platforms for controllable quantum devices.
arXiv comment9 pages, 4 figures
References in corpus (44)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Long-distance quantum communication with atomic ensembles and linear optics
- Quantum interface between light and atomic ensembles
- Control of quantum phenomena: Past, present, and future
- Training Schrödinger's cat: quantum optimal control
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Real-time quantum feedback prepares and stabilizes photon number states
- A 10-qubit solid-state spin register with quantum memory up to one minute
- Universal control and error correction in multi-qubit spin registers in diamond
- Measurement-based quantum control of mechanical motion
- Optimal control technique for Many Body Quantum Systems dynamics
- Chopped random-basis quantum optimization
- Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
- Coherent quantum LQG control
- Quantum channels and memory effects
- A Survey on Quantum Channel Capacities
- Controlling open quantum systems: Tools, achievements, and limitations
- Modeling and Control of Quantum Systems: An Introduction
- Optimal Dynamical Decoherence Control of a Qubit
- Gaussian states in continuous variable quantum information
- Quantum memory for microwave photons in an inhomogeneously broadened spin ensemble
- One-mode Bosonic Gaussian channels: a full weak-degradability classification
- Information-capacity description of spin-chain correlations
- Dressing the chopped-random-basis optimization: a bandwidth-limited access to the trap-free landscape
- Optimal control of complex atomic quantum systems
- Stabilizing Open Quantum Batteries by Sequential Measurements
- Quantum metrology with full and fast quantum control
- Deterministic generation of multiparticle entanglement by quantum Zeno dynamics
- Quantum Feedback Control of Atomic Motion in an Optical Cavity
- An information theoretical analysis of quantum optimal control
- Quantum Capacities of Channels with small Environment
- Donor spins in silicon for quantum technologies
- Exploring constrained quantum control landscapes
- Fast closed-loop optimal control of ultracold atoms in an optical lattice
- Multiplicativity of maximal output purities of Gaussian channels under Gaussian inputs
- Optimal Quantum Filtering and Quantum Feedback Control
- Stabilization of Stochastic Quantum Dynamics via Open and Closed Loop Control
- How difficult is it to prepare a quantum state?
- Realistic and verifiable coherent control of excitonic states in a light harvesting complex
- Hamiltonian Control of Quantum Dynamical Semigroups: Stabilization and Convergence Speed
- On the complexity of controlling quantum many-body dynamics
- Optimal preparation of quantum states on an atom chip device
- Qubit quantum channels: A characteristic function approach
- Incoherent control and entanglement for two-dimensional coupled systems
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