Quasi-continuous variable quantum computation with collective spins in multi-path interferometers

Abstract

Collective spins of large atomic samples trapped inside optical resonators can carry quantum information that can be processed in a way similar to quantum computation with continuous variables. It is shown here that by combining the resonators in multi-path interferometers one can realize coupling between different samples, and that polynomial Hamiltonians can be constructed by repeated spin rotations and twisting induced by dispersive interaction of the atoms with light. Application can be expected in efficient simulation of quantum systems.

5 pages paper + 7 supplemenal info; new version with more detailed explanations published in PRL

References in corpus (5)

• Universal Quantum Computation with Continuous-Variable Cluster States
• Fisher Information and entanglement of non-Gaussian spin states
• Approaching the Heisenberg limit without single-particle detection
• Repeat-until-success cubic phase gate for universal continuous-variable quantum computation
• Quantum simulation of quantum field theory using continuous variables

Cited by in corpus (5)

• Near-Unitary Spin Squeezing in ${}^{171}$Yb
• General implementation of arbitrary nonlinear quadrature phase gates
• Deterministic nonlinear phase gates induced by a single qubit
• Universal Dissipationless Dynamics in Gaussian Continuous-variable Open Systems
• Entangled Collective Spin States of Two Species Ultracold atoms in a Ring