Quantum control by von Neumann measurements
arXiv:quant-ph/0606187 · doi:10.1103/PhysRevA.74.052102
Abstract
A general scheme is presented for controlling quantum systems using evolution driven by non-selective von Neumann measurements, with or without an additional tailored electromagnetic field. As an example, a 2-level quantum system controlled by non-selective quantum measurements is considered. The control goal is to find optimal system observables such that consecutive non-selective measurement of these observables transforms the system from a given initial state into a state which maximizes the expected value of a target operator (the objective). A complete analytical solution is found including explicit expressions for the optimal measured observables and for the maximal objective value given any target operator, any initial system density matrix, and any number of measurements. As an illustration, upper bounds on measurement-induced population transfer between the ground and the excited states for any number of measurements are found. The anti-Zeno effect is recovered in the limit of an infinite number of measurements. In this limit the system becomes completely controllable. The results establish the degree of control attainable by a finite number of measurements.
References in corpus (8)
- Optimal Quantum Circuits for General Two-Qubit Gates
- Quantum feedback control and classical control theory
- Teaching the Environment to Control Quantum Systems
- Measurement driven quantum evolution
- Measurement-assisted Coherent Control
- A Quantum Anti-Zeno Paradox
- Optimal measurements in quantum mechanics
- Decoherence assisting a measurement-driven quantum evolution process
Cited by in corpus (61)
- Quantum control theory and applications: A survey
- Controlling open quantum systems: Tools, achievements, and limitations
- Quantum feedback: theory, experiments, and applications
- Sliding Mode Control of Two-Level Quantum Systems
- Sliding mode control of quantum systems
- Time-optimal control of a two-level dissipative quantum system
- Controllability of open quantum systems with Kraus-map dynamics
- Engineering arbitrary pure and mixed quantum states
- Control landscapes for two-level open quantum systems
- Control-free control: manipulating a quantum system using only a limited set of measurements
- Incoherent qubit control using the quantum Zeno effect
- Observation-assisted optimal control of quantum dynamics
- Measurement-assisted Landau-Zener transitions
- Incoherent Control of Locally Controllable Quantum Systems
- Feedback Control Using Only Quantum Back-Action
- Control of quantum dynamics by optimized measurements
- Optimization search effort over the control landscapes for open quantum systems with Kraus-map evolution
- GRAPE optimization for open quantum systems with time-dependent decoherence rates driven by coherent and incoherent controls
- Many-body state engineering using measurements and fixed unitary dynamics
- Reachable sets for two-level open quantum systems driven by coherent and incoherent controls
- Measurement-driven navigation in many-body Hilbert space: Active-decision steering
- Optimized Steering: Quantum State Engineering and Exceptional Points
- Quantum Zeno and Anti-Zeno probes of noise correlations in photon polarisation
- General unifying features of controlled quantum phenomena
- Optimal State Manipulation for a Two-Qubit System Driven by Coherent and Incoherent Controls
- Incoherent Control of the Retinal Isomerization in Rhodopsin
- Quantum Control with Measurements and Quantum Zeno Dynamics
- Energy control in a quantum oscillator using coherent control and engineered environment
- Uncomputability and complexity of quantum control
- Engineering two-qubit mixed states with weak measurements
- Quantum state engineering by steering in the presence of errors
- Relationship between subjecting the qubit to dynamical decoupling and to a sequence of projective measurements
- Limits of optimal control yields achievable with quantum controllers
- Real-Time Simulation of Large Open Quantum Spin Systems driven by Measurements
- Feedback Policies for Measurement-based Quantum State Manipulation
- Optimal Zeno Dragging for Quantum Control: A Shortcut to Zeno with Action-based Scheduling Optimization
- Quantum feedback control in quantum photosynthesis
- Real-time simulation of non-equilibrium transport of magnetization in large open quantum spin systems driven by dissipation
- Universal families and quantum control in infinite dimensions
- Numerical estimation of reachable and controllability sets for a two-level open quantum system driven by coherent and incoherent controls
- Control landscape of measurement-assisted transition probability for a three-level quantum system with dynamical symmetry
- Control landscapes for high-fidelity generation of C-NOT and C-PHASE gates with coherent and environmental driving
- Weak stochastic ratchets and dynamic localization in measurement-induced quantum trajectories
- Fast quantum gate design with deep reinforcement learning using real-time feedback on readout signals
- Unified Collision Model of Coherent and Measurement-based Quantum Feedback
- Decoherence-assisted quantum driving
- Optimal Bounds on State Transfer Under Quantum Channels with Application to Spin System Engineering
- Some Aspects of Remote State Restoring in State Transfer Governed by XXZ-Hamiltonian
- Generic eigenstate preparation via measurement-based purification
- Generating magnon Bell states via parity measurement
- Continuous measurements in probability representation of quantum mechanics
- Efficient implementation of unitary transformations
- Quantum friction: environment engineering perspectives
- Amplification of quantum transfer and quantum ratchet
- The presheaf of Quantum Realities and constructions of the space-time from the Space of Ultimation
- Measurement-Induced Boolean Dynamics and Controllability for Quantum Networks
- Some aspects of the interplay between bipartite correlations and quantum channels
- An almost deterministic cooling by measurements
- Quantum measurements as a control resource
- Quantum dynamics intervened by repeated nonselective measurements
- Reaching Agreement in Quantum Hybrid Networks