Reverse quantum state engineering using electronic feedback loops
arXiv:1209.1226 · doi:10.1088/1367-2630/14/12/123036
Abstract
We propose an all-electronic technique to manipulate and control interacting quantum systems by unitary single-jump feedback conditioned on the outcome of a capacitively coupled electrometer and in particular a single-electron transistor. We provide a general scheme to stabilize pure states in the quantum system and employ an effective Hamiltonian method for the quantum master equation to elaborate on the nature of stabilizable states and the conditions under which state purification can be achieved. The state engineering within the quantum feedback scheme is shown to be linked with the solution of an inverse eigenvalue problem. Two applications of the feedback scheme are presented in detail: (i) stabilization of delocalized pure states in a single charge qubit and (ii) entanglement stabilization in two coupled charge qubits. In the latter example we demonstrate the stabilization of a maximally entangled Bell state for certain detector positions and local feedback operations.
23 pages, 6 figures, to be published by New Journal of Physics (2013)
References in corpus (34)
- Quantum Computation with Quantum Dots
- Charge insensitive qubit design derived from the Cooper pair box
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
- Topology by Dissipation in Atomic Quantum Wires
- Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
- Quantum Computing Using Dissipation to Remain in a Decoherence-Free Subspace
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Coherent and Collective Quantum Optical Effects in Mesoscopic Systems
- Microscopic derivation of rate equations for quantum transport
- Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
- Quantum Coherence in a One-Electron Semiconductor Charge Qubit
- Continuous quantum measurement of a double dot
- Enhancing the Coherence of a Spin Qubit by Operating it as a Feedback Loop That Controls its Nuclear Spin Bath
- Deterministic Dicke state preparation with continuous measurement and control
- Experimental feedback control of quantum systems using weak measurements
- Stochastic thermodynamics for "Maxwell demon" feedbacks
- Quantum feedback control of a solid-state qubit
- Conditional operation of a spin qubit
- Dissipation-induced pure Gaussian state
- Probing the power of an electronic Maxwell Demon
- Parity meter for charge qubits: an efficient quantum entangler
- Stabilizing Entangled States with Quasi-Local Quantum Dynamical Semigroups
- Quantum control of atomic systems by time resolved homodyne detection and feedback
- Feedback Control of Quantum Transport
- Rapid Measurement of Quantum Systems using Feedback Control
- Weak and strong measurement of a qubit using a switching-based detector
- Simple quantum feedback of a solid-state qubit
- Feedback stabilization of pure states in quantum transport
- Counting Statistics in Multi-stable Systems
- Charge Qubit Purification by an Electronic Feedback Loop
- Single Spin Transport Spectroscopy - Current Blockade and Spin Decay
- Fighting Decoherence by Feedback-controlled Dissipation
- Quantum filtering one bit at a time
Cited by in corpus (9)
- Quantum feedback: theory, experiments, and applications
- Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
- Thermodynamics of Quantum-Jump-Conditioned Feedback Control
- Coherent feedback control in quantum transport
- Feedback-induced nonlinearity and superconducting on-chip quantum optics
- Wiseman-Milburn Control for the Lipkin-Meshkov-Glick Model
- Dressed Quantum Trajectories: Novel Approach to the non-Markovian Dynamics of Open Quantum Systems on a Wide Time Scale
- Information Loss Pathways in a Numerically Exact Simulation of a non-Markovian Open Quantum System
- Coherent control in quantum transport: amplification, filtering and switching at finite bias