Quantum Logic with Interacting Bosons in 1D
arXiv:1501.04349 · doi:10.1038/s41534-017-0050-2
Abstract
We present a scheme for implementing high-fidelity quantum logic gates using the quantum walk of a few interacting bosons on a one-dimensional lattice. The gate operation is carried out by a single compact lattice described by a one-dimensional Bose-Hubbard model with only nearest-neighbor hopping and on-site interactions. We find high-fidelity deterministic logic operations for a gate set (including the CNOT gate) that is universal for quantum information processing. We discuss the applicability of this scheme in light of recent developments in controlling and monitoring cold-atoms in optical lattices, as well as an implementation with realistic nonlinear quantum photonic devices.
5 pages, 4 figures, comments welcome
References in corpus (11)
- Silica-on-Silicon Waveguide Quantum Circuits
- Quantum walks of correlated particles
- Single-Spin Addressing in an Atomic Mott Insulator
- Realization of quantum walks with negligible decoherence in waveguide lattices
- Universal computation by multi-particle quantum walk
- Strongly Correlated Quantum Walks in Optical Lattices
- Discrete single-photon quantum walks with tunable decoherence
- Quantum Correlations in Two-Particle Anderson Localization
- Quantum walks of correlated photon pairs in two-dimensional waveguide arrays
- Quantum Walk on a Line with Two Entangled Particles
- Bloch oscillations of Path-Entangled Photons
Cited by in corpus (24)
- A controlled-NOT gate for frequency-bin qubits
- Electric circuits for universal quantum gates and quantum Fourier transformation
- Transport efficiency of continuous-time quantum walks on graphs
- Waveguide lattice based architecture for multichannel optical transformations
- Quantum logical controlled-NOT gate in a lithium niobate-on-insulator photonic quantum walk
- Continuous-time quantum walks on planar lattices and the role of the magnetic field
- Universal linear optics by programmable multimode interference
- Programmable quantum circuits in a large-scale photonic waveguide array
- Efficient implementation of discrete-time quantum walks on quantum computers
- In situ upgrade of quantum simulators to universal computers
- Maximal coin-walker entanglement in a ballistic quantum walk
- Tunable Generation of Spatial Entanglement in Nonlinear Waveguide Arrays
- Hamiltonian quantum computing with superconducting qubits
- Inverse Design of Unitary Transmission Matrices in Silicon Photonic Coupled Waveguide Arrays using a Neural Adjoint Model
- Deterministic entangling gates with nonlinear quantum photonic interferometers
- Dirac formulation for universal quantum gates and Shor's integer factorization in high-frequency electric circuits
- Soliton versus single photon quantum dynamics in arrays of superconducting qubits
- Complex structure and characterization of multi-photon split states in integrated circuits
- Bosonic Random Walk Networks for Graph Learning
- Universality of the fully connected vertex in Laplacian continuous-time quantum walk problems
- Perturbed graphs achieve unit transport efficiency without environmental noise
- Implementation of Continuous-Time Quantum Walks on Quantum Computers
- Analytic theory of coupled waveguide transformation under randomly perturbations
- Photon-Number Conserved Universal Quantum Logic Employing Continuous-Time Quantum Walk on Dual-Rail Qubit Arrays