Drawing together control landscape and tomography principles
arXiv:2004.02729 · doi:10.1103/PhysRevA.102.042207
Abstract
The ability to control quantum systems using shaped fields as well as to infer the states of such controlled systems from measurement data are key tasks in the design and operation of quantum devices. Here we associate the success of performing both tasks to the structure of the underlying control landscape. We relate the ability to control and reconstruct the full state of the system to the absence of singular controls, and show that for sufficiently long evolution times singular controls rarely occur. Based on these findings, we describe a learning algorithm for finding optimal controls that makes use of measurement data obtained from partially accessing the system. Open challenges stemming from the concentration of measure phenomenon in high dimensional systems are discussed.
References in corpus (51)
- Barren plateaus in quantum neural network training landscapes
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Quantum state tomography via compressed sensing
- Control of quantum phenomena: Past, present, and future
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Unknown Quantum States and Operations, a Bayesian View
- Training Schrödinger's cat: quantum optimal control
- Quantum error correction in a solid-state hybrid spin register
- Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
- A 10-qubit solid-state spin register with quantum memory up to one minute
- The Bloch Vector for N-Level Systems
- Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography
- High fidelity spin entanglement using optimal control
- Reinforcement Learning in Different Phases of Quantum Control
- Towards a large-scale quantum simulator on diamond surface at room temperature
- Hybrid Quantum-Classical Approach to Quantum Optimal Control
- Characterization of the Positivity of the Density Matrix in Terms of the Coherence Vector Representation
- Comparing, Optimising and Benchmarking Quantum Control Algorithms in a Unifying Programming Framework
- Silicon qubit fidelities approaching incoherent noise limits via pulse engineering
- Quantum Control Landscapes
- Adaptive hybrid optimal quantum control for imprecisely characterized systems
- Self-guided quantum tomography
- Quantum control and measurement of atomic spins in polarization spectroscopy
- Are there traps in quantum control landscapes?
- Optimal control theory for a unitary operation under dissipative evolution
- Quantum System Identification
- Robust quantum gates for systems subject to decoherence via optimal control: Markovian vs non-Markovian dynamics
- Efficient and feasible state tomography of quantum many-body systems
- Quantum state reconstruction via continuous measurement
- Quantum Control Landscapes: A Closer Look
- Symbolic integration with respect to the Haar measure on the unitary group
- Control Landscapes for Observable Preparation with Open Quantum Systems
- Singularities of Quantum Control Landscapes
- Driven quantum dynamics: will it blend?
- Search complexity and resource scaling for the quantum optimal control of unitary transformations
- Exploring Quantum Control Landscapes: Topology, Features, and Optimization Scaling
- Universal quantum interfaces
- Distinguishability of generic quantum states
- Gradient Flows for Optimisation and Quantum Control: Foundations and Applications
- Control of open quantum systems: Case study of the central spin model
- Random unitary maps for quantum state reconstruction
- Searching for quantum optimal controls in the presence of singular critical points
- Comment on "Are There Traps in Quantum Control Landscapes?"
- Optimal Pure-State Qubit Tomography via Sequential Weak Measurements
- On Quantum State Observability and Measurement
- Complete Quantum-State Tomography with a Local Random Field
- Single Shot Quantum State Estimation via a Continuous Measurement in the Strong Backaction Regime
- Combining the synergistic control capabilities of modelling and experiments: illustration of finding a minimum time quantum objective
- Pulsed Quantum-State Reconstruction of Dark Systems
- Quantum Control Landscape of Bipartite Systems
- Critical points of the optimal quantum control landscape: a propagator approach
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- Diagnosing Barren Plateaus with Tools from Quantum Optimal Control
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- Improved Quantum State Tomography for the Systems with XX+YY Couplings and Z Readouts
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Robustness of random-control quantum-state tomography