Perfect quantum state transfer of hard-core bosons on weighted path graphs
arXiv:1412.1022 · doi:10.1103/PhysRevA.91.032319
Abstract
The ability to accurately transfer quantum information through networks is an important primitive in distributed quantum systems. While perfect quantum state transfer (PST) can be effected by a single particle undergoing continuous-time quantum walks on a variety of graphs, it is not known if PST persists for many particles in the presence of interactions. We show that if single-particle PST occurs on one-dimensional weighted path graphs, then systems of hard-core bosons undergoing quantum walks on these paths also undergo PST. The analysis extends the Tonks-Girardeau ansatz to weighted graphs using techniques in algebraic graph theory. The results suggest that hard-core bosons do not generically undergo PST, even on graphs which exhibit single-particle PST.
arXiv comment19 pages
References in corpus (32)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Quantum Computation and Decision Trees
- Perfect state transfer in quantum spin networks
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Perfect Transfer of Arbitrary States in Quantum Spin Networks
- A Review of Perfect State Transfer and its Application as a Constructive Tool
- Conclusive and arbitrarily perfect quantum state transfer using parallel spin chain channels
- Perfect State Transfer, Effective Gates and Entanglement Generation in Engineered Bosonic and Fermionic Networks
- Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
- Non-Perturbative Entangling Gates between Distant Qubits using Uniform Cold Atom Chains
- Number-Theoretic Nature of Communication in Quantum Spin Systems
- How to construct spin chains with perfect state transfer
- Quantum Networks on Cubelike Graphs
- Routing quantum information in spin chains
- The Basics of Perfect Communication through Quantum Networks
- Quantum router based on ac control of qubit chains
- Almost perfect state transfer in quantum spin chains
- Robust Entanglement in Anti-ferromagnetic Heisenberg Chains by Single-spin Optimal Control
- Quantum Walks, Quantum Gates and Quantum Computers
- Perfect state transfer over distance-regular spin networks
- Perfect quantum state transfer with spinor bosons on weighted graphs
- Perfect function transfer and interference effects in interacting boson lattices
- Arbitrary perfect state transfer in -level spin chains
- Pretty good state transfer of entangled states through quantum spin chains
- Perfect State Transfer in Two and Three Dimensional Structures
- All Possible Coupling Schemes in XY Spin Chains for Perfect State Transfer
- Quantum switching networks for perfect qubit routing
- Bose-Hubbard model for universal quantum walk-based computation
- Ground-state Energies of Spinless Free Fermions and Hard-core Bosons
- Perfect transfer of multiple excitations in quantum networks
- Perfect routing of quantum information in regular cavity QED networks
- Cooling ultracold bosons in optical lattices by spectral transform