Generate tensor network state by sequential single-photon scattering in waveguide QED systems

Shanshan Xu,Shanhui Fan

doi:10.1063/1.5044248

Abstract

We propose a scheme to generate photonic tensor network states by sequential scattering of photons in waveguide QED systems. We show that sequential scatterings can convert a series of unentangled photons into any type of matrix product states. We also demonstrate the possibility of generating projected entangled pair states with an arbitrary graph structure by photon re-scattering.

Highlights

Quantum tensor network states with a local entanglement structure, including matrix product states (MPS)1 and its generalization projected entangled pair states (PEPS),2,3 have become a key tool in quantum many-body physics
It has been observed that for a large class of local Hamiltonians, their ground states can be well approximated by these states.6–8. This observation provides the foundation of various classical algorithms designed to efficiently simulate strongly correlated quantum systems.9–13. In addition to their theoretical interests, MPS and PEPS have a variety of practical applications in quantum information science including quantum computing,14 quantum key distribution,15 or quantum cryptography
We propose an alternative approach to generate photonic tensor network states, including both MPS and PEPS with an arbitrary graph structure, in a pure scattering approach, by sequentially scattering photons against a local quantum multi-level system in a waveguide QED system

Summary

Introduction

Quantum tensor network states with a local entanglement structure, including matrix product states (MPS)1 and its generalization projected entangled pair states (PEPS),2,3 have become a key tool in quantum many-body physics.4,5 It has been observed that for a large class of local Hamiltonians, their ground states can be well approximated by these states.6–8 This observation provides the foundation of various classical algorithms designed to efficiently simulate strongly correlated quantum systems.9–13 In addition to their theoretical interests, MPS and PEPS have a variety of practical applications in quantum information science including quantum computing,14 quantum key distribution,15 or quantum cryptography.16,17 For example, the cluster state, a particular class of PEPS, can be used to achieve universal quantum computing.14 there have been significant interests in generating such states. Generate tensor network state by sequential single-photon scattering in waveguide QED systems We propose an alternative approach to generate photonic tensor network states, including both MPS and PEPS with an arbitrary graph structure, in a pure scattering approach, by sequentially scattering photons against a local quantum multi-level system in a waveguide QED system.

Results

Conclusion