Almost exact state transfer in a spin chain via pulse control

Abstract

Quantum communication through spin chains has been extensively investigated. In this scenario, state transfer through linearly arranged spins connected by uniform nearest-neighbor couplings qualifies as a natural choice, with minimal control requirements. However, quantum states usually cannot be perfectly transferred through a uniformly coupled chain due to the dispersion of the chain. Here, we propose an effective quantum control technique to realize almost exact state transfer (AEST) in a quantum spin chain. The strategy is to add a leakage elimination operator (LEO) Hamiltonian to the evolution, which implements a sequence of pulse control acting on a perfect state transfer subspace. By using the one-component Feshbach PQ partitioning technique, we obtain the conditions over the required pulses. AEST through a spin chain can then be obtained under a suitable pulse intensity and duration.

6 pages, 3 figures

References in corpus (48)

• Many-Body Physics with Ultracold Gases
• The Quantum Internet
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
• Dynamical Decoupling of Open Quantum Systems
• Adiabatic Quantum Computing
• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• A Two Qubit Logic Gate in Silicon
• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Shortcuts to adiabaticity
• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Quantum speed limits in open system dynamics
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• The second law, Maxwell's daemon and work derivable from quantum heat engines
• Using Parity Kicks for Decoherence Control
• Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
• Unmodulated spin chains as universal quantum wires
• Coherent many-body spin dynamics in a long-range interacting Ising chain
• Experimental realization of stimulated Raman shortcut-to-adiabatic passage with cold atoms
• Stable adiabatic quantum batteries
• Quantum computations with atoms in optical lattices: marker qubits and molecular interactions
• Frictionless quantum quenches in ultracold gases: a quantum dynamical microscope
• Dynamic Manipulation of Bose-Einstein Condensates With a Spatial Light Modulator
• Quantum Speed Limit for Perfect State Transfer in One Dimension
• Communication at the quantum speed limit along a spin chain
• Superadiabatic Controlled Evolutions and Universal Quantum Computation
• Stable and charge-switchable quantum batteries
• Efficient Universal Leakage Elimination for Physical and Encoded Qubits
• Optimal quantum chain communication by end gates
• Automatic spin-chain learning to explore the quantum speed limit
• Universal Leakage Elimination
• Master Equation and Control of an Open Quantum System with Leakage
• Nonperturbative Leakage Elimination Operators and Control of a Three-Level System
• Fast, high fidelity information transmission through spin chain quantum wires
• Optimized dynamical control of state transfer through noisy spin chains
• Heisenberg Spin Bus as a Robust Transmission Line for Perfect State Transfer
• Experimental Implementation of Generalized Transitionless Quantum Driving
• Perfect function transfer and interference effects in interacting boson lattices
• 2D spin-orbit coupling for ultracold atoms in optical lattices
• Universal Existence of Exact Quantum State Transmissions in Interacting Media
• One Component Dynamical Equation and Noise Induced Adiabaticity
• Eigenstate Tracking in Open Quantum Systems
• Robust and Reliable Transfer of a Quantum State Through a Spin Chain
• Optimizing NMR quantum information processing via generalized transitionless quantum driving
• Fault-Tolerant Exact State Transmission
• Fault-tolerant breathing pattern in optical lattices as a dynamical quantum memory
• Demonstrating quantum algorithm acceleration with NMR quantum computer

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