Robust control of quantum systems by quantum systems
arXiv:2012.01998 · doi:10.1103/PhysRevA.104.052614
Abstract
Quantum systems can be controlled by other quantum systems in a reversible way, without any information leaking to the outside of the system-controller compound. Such coherent quantum control is deterministic, is less noisy than measurement-based feedback control, and has potential applications in a variety of quantum technologies, including quantum computation, quantum communication and quantum metrology. Here we introduce a coherent feedback protocol, consisting of a sequence of identical interactions with controlling quantum systems, that steers a quantum system from an arbitrary initial state towards a target state. We determine the broad class of such coherent feedback channels that achieve convergence to the target state, and then stabilise as well as protect it against noise. Our results imply that also weak system-controller interactions can counter noise if they occur with suitably high frequency. We provide an example of a control scheme that does not require knowledge of the target state encoded in the controllers, which could be the result of a quantum computation. It thus provides a mechanism for autonomous, purely quantum closed-loop control.
References in corpus (26)
- Quantum Computation with Quantum Dots
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Electron Spin Resonance Transistors for Quantum Computing in Silicon-Germanium Heterostructures
- Real-time quantum feedback prepares and stabilizes photon number states
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Event-Ready Bell Test Using Entangled Atoms Simultaneously Closing Detection and Locality Loopholes
- Continuous quantum measurement and Itô formalism
- Quantum feedback control and classical control theory
- Quantum State Disturbance vs. Information Gain: Uncertainty Relations for Quantum Information
- An Entanglement-Enhanced Microscope
- Selective quantum evolution of a qubit state due to continuous measurement
- Experimental feedback control of quantum systems using weak measurements
- Advantages of Coherent Feedback for Cooling Quantum Oscillators
- Indirect Interaction of Solid-State Qubits via Two-Dimensional Electron Gas
- Quantum feedback by discrete quantum non-demolition measurements: towards on-demand generation of photon-number states
- State determination in continuous measurement
- A Deterministic and Nondestructively-Verifiable Photon Number Source
- A sequence of unsharp measurements enabling a real time visualization of a quantum oscillation
- Evolution of a qubit under the influence of a succession of unsharp measurements
- Maintaining Quantum Coherence in the Presence of Noise through State Monitoring
- Model for monitoring of a charge qubit using a radio-frequency quantum point contact including experimental imperfections
- Coupled Ito equations of continuous quantum state measurement, and estimation
- Characterizing a statistical arrow of time in quantum measurement dynamics
- Quantum Control through a Self-Fulfilling Prophecy
- Noise suppression of on-chip mechanical resonators by chaotic coherent feedback