Entanglement generation and Hamiltonian simulation in Continuous-Variable Systems

Abstract

Several recent experiments have demonstrated the promise of atomic ensembles for quantum teleportation and quantum memory. In these cases the collective internal state of the atoms is well described by continuous variables $X_1,P_1$ and the interaction with the optical field ($X_2,P_2$) by a quadratic Hamiltonian $X_1{X}_2$. We show how this interaction can be used optimally to create entanglement and squeezing. We derive conditions for the efficient simulation of quadratic Hamiltonians and the engineering of all Gaussian operations and states.

14 pages, 1 figure; v2: general improvements (some proofs generalized, typos corrected, 2 figures added)

References in corpus (35)

• A computable measure of entanglement
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• Quantum computation over continuous variables
• Experimental long-lived entanglement of two macroscopic objects
• Many-particle entanglement with Bose--Einstein condensates
• Teleportation of Quantum States
• On the impossibility of distilling Gaussian states with Gaussian operations
• The characterization of Gaussian operations and Distillation of Gaussian States
• Bound entangled Gaussian states
• Optimal Creation of Entanglement Using a Two--Qubit Gate
• On the Entangling Power of Quantum Evolutions
• Gaussian transformations and distillation of entangled Gaussian states
• Quantum communication between atomic ensembles using coherent light
• Quantum Memory for Light
• Squeezing and entanglement of atomic beams
• Separability Properties of Three-mode Gaussian States
• Distillability Criterion for all Bipartite Gaussian States
• Separability Criterion for all bipartite Gaussian States
• The entangling power of passive optical elements
• Entanglement capabilities of non-local Hamiltonians
• Universal quantum computation and simulation using any entangling Hamiltonian and local unitaries
• Atomic Quantum State Teleportation and Swapping
• Three-dimensional theory for interaction between atomic ensembles and free-space light
• Optimal simulation of two-qubit Hamiltonians using general local operations
• Continuous quantum nondemolition feedback and unconditional atomic spin squeezing
• Characterization of non-local gates
• Interaction cost of non-local gates
• Mapping a quantum state of light onto a long-lived atomic spin state: towards quantum memory
• Discrete formulation of teleportation of continuous variables
• Preparation of spin squeezed atomic states by optical phase shift measurement
• Optimal simulation of nonlocal Hamiltonians using local operations and classical communication
• Near-optimal two-mode spin squeezing via feedback
• Entanglement of two atomic samples by quantum non-demolition measurements
• Transition probabilities between quasifree states

Cited by in corpus (41)

• Quantum information with continuous variables
• Quantum interface between light and atomic ensembles
• Spin squeezing and precision probing with light and samples of atoms in the gaussian approximation
• Light-Matter Quantum Interface
• Experimental distillation of squeezing from non-Gaussian quantum states
• Efficient quantum memory and entanglement between light and an atomic ensemble using magnetic fields
• Schroedinger Cat States of a Nanomechanical Resonator
• Relations between bosonic quadrature squeezing and atomic spin squeezing
• Quantum atom-light interfaces in the gaussian description for spin-1 systems
• Remote Hamiltonian Interactions Mediated by Light
• Optimal nonequilibrium entanglement of nanomechanical oscillators
• Optimal Control Theory for Continuous Variable Quantum Gates
• Entanglement capability of self-inverse Hamiltonian evolution
• On the distillation and purification of phase-diffused squeezed states
• Continuous-variable entanglement distillation and non-commutative central limit theorems
• Experimental Demonstration of Squeezed State Quantum Averaging
• Quantifying non-Gaussianity of quantum-state correlation
• Multi-step two-copy distillation of squeezed states via two photon subtraction
• Unitary Gate Synthesis for Continuous Variable Systems
• Relation between classical communication capacity and entanglement capability for two-qubit unitary operations
• An operational measure for squeezing
• Quantifying non-Gaussianity of a quantum state by the negative entropy of quadrature distributions
• Diffraction effects on light-atomic ensemble quantum interface
• Improving Short-Term Stability in Optical Lattice Clocks by Quantum Nondemolition Measurements
• Interfacing nuclear spins in quantum dots to cavity or traveling-wave fields
• Quantum Teleportation of Dynamics and Effective Interactions Between Remote Systems
• Vacuum entanglement probes for ultra-cold atom systems
• Dissipative versus Conditional Generation of Gaussian Entanglement and Spin Squeezing
• Continuous variable versus EIT-based quantum memories
• Multiple copy distillation and purification of phase diffused squeezed states
• Extended analysis of distillation and purification of squeezed states of light
• Lower bounds for communication capacities of two-qudit unitary operations
• Entanglement enhancement for two spins assisted by two phase kicks
• Studying the squeezing effect and phase space distribution of single-photon-added coherent state using postselected von Neumann measurement
• Advantage of probabilistic non-Gaussian operations in the distillation of single mode squeezed vacuum state
• Numerical Analysis of the Capacities for Two-Qubit Unitary Operations
• Measurement schemes for the spin quadratures on an ensemble of atoms
• Resource distillation in convex Gaussian resource theories
• Fundamental limits on concentrating and preserving tensorized quantum resources
• Single-Photon-Subtracted-Squeezed-Vacuum-State Based Postselected Weak Measurement and its Applications
• Amplitude-squared squeezing of Schrödinger cat states via Postselected von Neumann Measurement