Teleportation fidelities of squeezed states from thermodynamical state space measures

Abstract

We introduce a "microcanonical" measure (complying with the "general canonical principle") over the second moments of pure bosonic Gaussian states under an energy constraint. We determine the average fidelity for the teleportation of states distributed according to such a measure and compare it to a threshold obtained from a feasible classical strategy. Furthermore, we show that, under the proposed measure, the distribution of the entanglement concentrates around a finite value at the thermodynamical limit and, in general, the typical entanglement of Gaussian states with maximal energy E is not close to the maximum allowed by E.

arXiv comment4 pages + 1 figure (not included in journal version)

References in corpus (12)

• Quantum information with continuous variables
• The foundations of statistical mechanics from entanglement: Individual states vs. averages
• The Real Symplectic Groups in Quantum Mechanics and Optics
• Aspects of generic entanglement
• Quantum benchmark for storage and transmission of coherent states
• Gaussian states in continuous variable quantum information
• Efficient Generation of Generic Entanglement
• Quantum Approach to a Derivation of the Second Law of Thermodynamics
• Quantum Teleportation with Continuous Variables: a survey
• Typical entanglement of stabilizer states
• Improving fidelity of continuous-variable teleportation via local operations
• Invariant Integration over the Unitary Group

Cited by in corpus (19)

• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Entanglement of multiparty stabilizer, symmetric, and antisymmetric states
• The power of symmetric extensions for entanglement detection
• Emergence of typical entanglement in two-party random processes
• Squeezing the limit: Quantum benchmarks for the teleportation and storage of squeezed states
• Ensemble averaged entanglement of two-particle states in Fock space
• Entanglement Typicality
• Quantum Teamwork for Unconditional Multiparty Communication with Gaussian States
• Phase-Covariant Quantum Benchmarks
• Unifying typical entanglement and coin tossing: on randomization in probabilistic theories
• Canonical and micro-canonical typical entanglement of continuous variable systems
• Typical entanglement for Gaussian states
• Standard forms and entanglement engineering of multimode Gaussian states under local operations
• Random circuits by measurements on weighted graph states
• Page curves and typical entanglement in linear optics
• Invariant measures on multimode quantum Gaussian states
• Significance of Fidelity Deviation in Continuous Variable Teleportation
• Gaussian work extraction from random Gaussian states is nearly impossible
• Average Rényi Entanglement Entropy in Gaussian Boson Sampling