Maximally entangled gapped ground state of lattice fermions
arXiv:1112.5133 · doi:10.1103/PhysRevA.85.012312
Abstract
Entanglement between the constituents of a quantum system is an essential resource in the implementation of many quantum processes and algorithms. Indeed, universal quantum computation is possible by measuring individual qubits comprising highly entangled cluster states. In this work it is shown that the unique gapped ground state of non-interacting fermions hopping on a specially prepared lattice is equivalent to a cluster state, where the entanglement between qubits results solely by fermionic indistinguishability and antisymmetry. A deterministic strategy for universal measurement-based quantum computation with this resource is described. Because most matter is composed of fermions, these results suggest that resources for quantum information processing might be generic in Nature.
9 pages, 2 figures
References in corpus (17)
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Controlled exchange interaction between pairs of neutral atoms in an optical lattice
- Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
- Collisional stability of a three-component degenerate Fermi gas
- Valence Bond Solids for Quantum Computation
- Measurement-based quantum computation beyond the one-way model
- Charge detection enables free-electron quantum computation
- Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource
- Sublattice addressing and spin-dependent motion of atoms in a double-well lattice
- Percolation, renormalization, and quantum computing with non-deterministic gates
- Diffraction limited optics for single atom manipulation
- Quantum computational capability of a 2D valence bond solid phase
- Nearest-Neighbor Detection of Atoms in a 1D Optical Lattice by Fluorescence Imaging
- Optimal control of atom transport for quantum gates in optical lattices
- Fermionic Implementation of Projected Entangled Pair States Algorithm
- Graph states as ground states of many-body spin-1/2 Hamiltonians
- Quantum computation in correlation space and extremal entanglement