Control limit on quantum state preparation under decoherence
arXiv:1905.12250 · doi:10.1103/PhysRevA.99.052347
Abstract
Quantum information technologies require careful control for generating and preserving a desired target quantum state. The biggest practical obstacle is, of course, decoherence. Therefore, the reachability analysis, which in our scenario aims to estimate the distance between the controlled state under decoherence and the target state, is of great importance to evaluate the realistic performance of those technologies. This paper presents a lower bound of the fidelity-based distance for a general open Markovian quantum system driven by the decoherence process and several types of control including feedback. The lower bound is straightforward to calculate and can be used as a guide for choosing the target state, as demonstrated in some examples. Moreover, the lower bound is applied to derive a theoretical limit in some quantum metrology problems based on a large-size atomic ensemble under control and decoherence.
10 pages, 3 figures
References in corpus (34)
- Dynamical Decoupling of Open Quantum Systems
- On the Improvement of Frequency Stardards with Quantum Entanglement
- Real-time quantum feedback prepares and stabilizes photon number states
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Optimal control technique for Many Body Quantum Systems dynamics
- Feedback control of quantum state reduction
- Deterministic entanglement of superconducting qubits by parity measurement and feedback
- Controlling open quantum systems: Tools, achievements, and limitations
- Deterministic Squeezed States with Joint Measurements and Feedback
- Stabilizing feedback controls for quantum systems
- Stabilizing Open Quantum Systems by Markovian Reservoir Engineering
- Control and Tomography of a Three Level Superconducting Artificial Atom
- Deterministic Dicke state preparation with continuous measurement and control
- Dynamics of simultaneously measured non-commuting observables
- Controllability properties for finite dimensional quantum Markovian master equations
- The SLH framework for modeling quantum input-output networks
- Optimal Control of Spin Dynamics in the Presence of Relaxation
- An information theoretical analysis of quantum optimal control
- Boundary of Quantum Evolution under Decoherence
- A discrete invitation to quantum filtering and feedback control
- Quantum frequency estimation with trapped ions and atoms
- Comparing and combining measurement-based and driven-dissipative entanglement stabilization
- Coherent versus measurement feedback: Linear systems theory for quantum information
- Lie-Semigroup Structures for Reachability and Control of Open Quantum Systems: Viewing Markovian Quantum Channels as Lie Semigroups and GKS-Lindblad Generators as Lie Wedge
- Quantum Metrology with Dicke Squeezed States
- Engineering Quantum States of a Nano-Resonator via a Simple Auxiliary System
- A Deterministic and Nondestructively-Verifiable Photon Number Source
- Engineering Superposition States and Tailored Probes for Nano-resonators Via Open-Loop Control
- Unconditional preparation of nonclassical states via linear-and-quadratic optomechanics
- Fock-state stabilization and emission in superconducting circuits using dc-biased Josephson junctions
- Reservoir engineering of a mechanical resonator: generating a macroscopic superposition state and monitoring its decoherence
- Quantum Superposition State Production by Continuous Observations and Feedback
- Illustrating the Geometry of Coherently Controlled Quantum Channels
- Approximation of Reachable Set for Coherently Controlled Open Quantum Systems: Application to Quantum State Engineering