Fast Quantum Communication in Linear Networks

Abstract

Here we consider the speed at which quantum information can be transferred between the nodes of a linear network. Because such nodes are linear oscillators, this speed is also important in the cooling and state preparation of mechanical oscillators, as well as frequency conversion. We show that if there is no restriction on the size of the linear coupling between two oscillators, then there exist control protocols that will swap their respective states with high fidelity within a time much less than a single oscillation period. Standard gradient search methods fail to find these fast protocols. We were able to do so by augmenting standard search methods with a path-tracing technique, demonstrating that this technique has remarkable power to solve time-optimal control problems, as well as confirming the highly challenging nature of these problems. As a further demonstration of the power of path-tracing, first introduced by Moore-Tibbets et al. [Phys. Rev. A 86, 062309 (2012)], we apply it to the generation of entanglement in a linear network.

6 pages, 3 eps figures

References in corpus (30)

• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Control of quantum phenomena: Past, present, and future
• The maximum speed of dynamical evolution
• Resolved Sideband Cooling of a Micromechanical Oscillator
• Quantum speed limits in open system dynamics
• Opto-mechanical transducers for long-distance quantum communication
• Using interference for high fidelity quantum state transfer in optomechanics
• Optimal control technique for Many Body Quantum Systems dynamics
• Quantum limits to dynamical evolution
• Proposal for an Optomechanical Traveling Wave Phonon-Photon Translator
• Adiabatic State Conversion and Pulse Transmission in Optomechanical Systems
• Quantum Brachistochrone
• Driving at the quantum speed limit: Optimal control of a two-level system
• From Cavity Electromechanics to Cavity Optomechanics
• Optical wavelength conversion of quantum states with optomechanics
• Optimal Control-Based Efficient Synthesis of Building Blocks of Quantum Algorithms Seen in Perspective from Network Complexity towards Time Complexity
• Time Optimal Unitary Operations
• Pulsed Laser Cooling for Cavity-Optomechanical Resonators
• Ultra-Efficient Cooling of Resonators: Beating Sideband Cooling with Quantum Control
• Optimal control of quantum gates and suppression of decoherence in a system of interacting two-level particles
• Speed limits for quantum gates in multi-qubit systems
• Exploring the trade-off between fidelity- and time-optimal control of quantum unitary transformations
• Ground state cooling of nanomechanical resonator via parametric linear coupling
• Parallel State Transfer and Efficient Quantum Routing on Quantum Networks
• Optimal Control Theory for Continuous Variable Quantum Gates
• Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubits
• Multiple-spin coherence transfer in linear Ising spin chains and beyond: numerically-optimized pulses and experiments
• Time-Optimal Generation of Cluster States

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• On the optimality of optical pumping for a closed $\Lambda$-system with large decay rates of the intermediate excited state
• Resource-efficient universal photonic processor based on time-multiplexed hybrid architectures
• Globally optimal control of quantum dynamics