Optimal input states for quantifying the performance of continuous-variable unidirectional and bidirectional teleportation
arXiv:2210.05007 · doi:10.1103/PhysRevA.107.062603
Abstract
Continuous-variable (CV) teleportation is a foundational protocol in quantum information science. A number of experiments have been designed to simulate ideal teleportation under realistic conditions. In this paper, we detail an analytical approach for determining optimal input states for quantifying the performance of CV unidirectional and bidirectional teleportation. The metric that we consider for quantifying performance is the energy-constrained channel fidelity between ideal teleportation and its experimental implementation, and along with this, our focus is on determining optimal input states for distinguishing the ideal process from the experimental one. We prove that, under certain energy constraints, the optimal input state in unidirectional, as well as bidirectional, teleportation is a finite entangled superposition of twin-Fock states saturating the energy constraint. Moreover, we also prove that, under the same constraints, the optimal states are unique; that is, there is no other optimal finite entangled superposition of twin-Fock states.
arXiv comment26 pages, 4 figures, accepted for publication in Physical Review A
References in corpus (49)
- Experimental quantum teleportation
- Quantum Teleportation is a Universal Computational Primitive
- Ground-to-satellite quantum teleportation
- Quantum teleportation between light and matter
- Teleportation of Quantum States
- Distance measures to compare real and ideal quantum processes
- Superadditivity of communication capacity using entangled inputs
- From Classical to Quantum Shannon Theory
- Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement
- Quantum teleportation in high dimensions
- Qubit teleportation between non-neighboring nodes in a quantum network
- Quantum remote control: Teleportation of unitary operations
- Experimental high-dimensional quantum teleportation
- No-cloning theorem and teleportation criteria for quantum continuous variables
- Error correction for continuous quantum variables
- Deterministic quantum teleportation between distant atomic objects
- Criteria for Continuous-Variable Quantum Teleportation
- Quantum benchmark for storage and transmission of coherent states
- One-mode Bosonic Gaussian channels: a full weak-degradability classification
- Operator-sum Representation for Bosonic Gaussian Channels
- Controlled Teleportation of an Arbitrary Multi-Qudit State in a General Form with d-Dimensional Greenberger-Horne-Zeilinger States
- High-fidelity continuous-variable quantum teleportation toward multi-step quantum operations
- Majorization theory approach to the Gaussian channel minimum entropy conjecture
- Probabilistic teleportation of unknown two-particle state via POVM
- Hastings' additivity counterexample via Dvoretzky's theorem
- Energy-constrained diamond norms and their use in quantum information theory
- Bounding the energy-constrained quantum and private capacities of phase-insensitive bosonic Gaussian channels
- Quantum Benchmark for Teleportation and Storage of Squeezed States
- Counterexamples to additivity of minimum output p-Renyi entropy for p close to 0
- Probabilistic Teleportation of a Qudit
- Continuous-variable quantum teleportation of entanglement
- Non-Gaussian entangled states and quantum teleportation of Schrödinger-cat states
- Gaussian optimizers and the additivity problem in quantum information theory
- Lower bound on the relative error of mixed-state cloning and related operations
- Quantum benchmarks for pure single-mode Gaussian states
- Fidelity deviation in quantum teleportation
- Asymptotic performance of port-based teleportation
- Efficient multi port-based teleportation schemes
- Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy
- Continuity bounds for information characteristics of quantum channels depending on input dimension
- Experimental quantum teleportation over a high-loss free-space channel
- Strong and uniform convergence in the teleportation simulation of bosonic Gaussian channels
- Quantum Information Transfer between a Two-Level and a Four-Level Quantum System
- Continuous variable versus hybrid schemes for quantum teleportation of Gaussian states
- Optimal tests for continuous-variable quantum teleportation and photodetectors
- Revisiting additivity violation of quantum channels
- Characterizing the performance of continuous-variable Gaussian quantum gates
- Quantifying the performance of approximate teleportation and quantum error correction via symmetric two-PPT-extendibility
- Rating the performance of noisy teleportation using fluctuations in fidelity