Stimulated Raman adiabatic passage-like protocols for amplitude transfer generalize to many bipartite graphs
arXiv:1904.09915 · doi:10.1063/1.5116655
Abstract
Adiabatic passage techniques, used to drive a system from one quantum state into another, find widespread application in physics and chemistry. We focus on techniques to spatially transport a quantum amplitude over a strongly coupled system, such as STImulated Raman Adiabatic Passage (STIRAP) and Coherent Tunnelling by Adiabatic Passage (CTAP). Previous results were shown to work on certain graphs, such as linear chains, square and triangular lattices, and branched chains. We prove that similar protocols work much more generally, in a large class of (semi-)bipartite graphs. In particular, under random couplings, adiabatic transfer is possible on graphs that admit a perfect matching both when the sender is removed and when the receiver is removed. Many of the favorable stability properties of STIRAP/CTAP are inherited, and our results readily apply to transfer between multiple potential senders and receivers. We numerically test transfer between the leaves of a tree, and find surprisingly accurate transfer, especially when straddling is used. Our results may find applications in short-distance communication between multiple quantum computers, and open up a new question in graph theory about the spectral gap around the value 0.
arXiv comment17 pages, 3 figures. v2 is made more mathematical and precise than v1
References in corpus (24)
- Quantum Computing in the NISQ era and beyond
- The Physical Implementation of Quantum Computation
- Stimulated Raman adiabatic passage in physics, chemistry and beyond
- Interfacing spin qubits in quantum dots and donors - hot, dense and coherent
- Robustness of adiabatic quantum computation
- Quantum simulation of a Fermi-Hubbard model using a semiconductor quantum dot array
- Coherent electronic transfer in quantum dot systems using adiabatic passage
- Quantum Gates and Memory using Microwave Dressed States
- New frontiers with quantum gases of polar molecules
- Quantum computation with trapped ions in an optical cavity
- Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models and STIRAP
- Three level atom optics via the tunneling interaction
- Creation of ultracold Sr2 molecules in the electronic ground state
- High-finesse optical quantum gates for electron spins in artificial molecules
- Spatial adiabatic passage: a review of recent progress
- Quantum information transport to multiple receivers
- Coherent tunneling via adiabatic passage in a three-well Bose-Hubbard system
- High-fidelity gates in quantum dot spin qubits
- Efficient production of long-lived ultracold Sr molecules
- Coherent transfer by adiabatic passage in two-dimensional lattices
- Filtering single atoms from Rydberg blockaded mesoscopic ensembles
- Dark state adiabatic passage with branched networks and high-spin systems: spin separation and entanglement
- Robust state transfer and rotation through a spin chain via dark passage
- Adiabatic state distribution using anti-ferromagnetic spin systems