Communication at the quantum speed limit along a spin chain
arXiv:1004.3445 · doi:10.1103/PhysRevA.82.022318
Abstract
Spin chains have long been considered as candidates for quantum channels to facilitate quantum communication. We consider the transfer of a single excitation along a spin-1/2 chain governed by Heisenberg-type interactions. We build on the work of Balachandran and Gong [1], and show that by applying optimal control to an external parabolic magnetic field, one can drastically increase the propagation rate by two orders of magnitude. In particular, we show that the theoretical maximum propagation rate can be reached, where the propagation of the excitation takes the form of a dispersed wave. We conclude that optimal control is not only a useful tool for experimental application, but also for theoretical enquiry into the physical limits and dynamics of many-body quantum systems.
10 pages, 15 figures
References in corpus (18)
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Quantum Communication through Spin Chain Dynamics: an Introductory Overview
- Perfect quantum state transfer with randomly coupled quantum chains
- Perfect State Transfer: Beyond Nearest-Neighbor Couplings
- Quantum Speed Limit for Perfect State Transfer in One Dimension
- Robust optimal quantum gates for Josephson charge qubits
- Perfect state transfer in long-range interacting spin chains
- Optimal control of entangling operations for trapped ion quantum computing
- Improved transfer of quantum information using a local memory
- Optimal quantum chain communication by end gates
- Optimal control of atom transport for quantum gates in optical lattices
- Fast, high fidelity information transmission through spin chain quantum wires
- Quantum State Transfer in Spin-1 Chains
- Adiabatic Quantum Transport in a Spin Chain with a Moving Potential
- Lieb-Robinson bounds and the speed of light from topological order
- Implementation of Fault-tolerant Quantum Logic Gates via Optimal Control
- Implementation of Quantum Gates via Optimal Control
- Time-Optimal Generation of Cluster States