Teleportation as a Depolarizing Quantum Channel, Relative Entropy and Classical Capacity

Abstract

We show that standard teleportation with an arbitrary mixed state resource is equivalent to a generalized depolarizing channel with probabilities given by the maximally entangled components of the resource. This enables the usage of any quantum channel as a generalized depolarizing channel without additional twirling operations. It also provides a nontrivial upper bound on the entanglement of a class of mixed states. Our result allows a consistent and statistically motivated quantification of teleportation success in terms of the relative entropy and this quantification can be related to a classical capacity.

Version published in Phys. Rev. Lett

References in corpus (1)

• Classical information capacity of superdense coding

Cited by in corpus (102)

• Advances in Quantum Cryptography
• General Benchmarks for Quantum Repeaters
• Fundamental Limits of Repeaterless Quantum Communications
• Quantum channels and memory effects
• Quantum channels and their entropic characteristics
• Optimal teleportation with a mixed state of two qubits
• Strong Resilience of Topological Codes to Depolarization
• Entanglement teleportation via thermally entangled states of two-qubit Heisenberg XX chain
• Teleportation via thermally entangled state of a two-qubit Heisenberg XX chain
• Theory of channel simulation and bounds for private communication
• Optimal Teleportation Based on Bell Measurement
• Fighting noise with noise in realistic quantum teleportation
• Qubit Teleportation and Transfer across Antiferromagnetic Spin Chains
• Entanglement required in achieving entanglement-assisted channel capacities
• The effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field
• General bounds for sender-receiver capacities in multipoint quantum communications
• Principles of Quantum Communication Theory: A Modern Approach
• Relative Entropy Bounds on Quantum, Private and Repeater Capacities
• Extracting past-future vacuum correlations using circuit QED
• Relations between entanglement, Bell-inequality violation and teleportation fidelity for the two-qubit X states
• Quantum jumps and entropy production
• Information Transferring Ability of the Different Phases of a finite XXZ Spin Chain
• Local noise can enhance entanglement teleportation
• Environment-induced decay of teleportation fidelity of the one-qubit state
• Probabilistic quantum teleportation in the presence of noise
• Robustness of Greenberger-Horne-Zeilinger and W states for teleportation in external environments
• Probabilistic quantum teleportation via thermal entanglement
• Teleportation with a Mixed State of Four Qubits and the Generalized Singlet Fraction
• Quantum teleportation via a two-qubit Heisenberg XXZ chain-effects of anisotropy and magnetic field
• Continuous variable teleportation as a generalized thermalizing quantum channel
• Simulation of Gaussian channels via teleportation and error correction of Gaussian states
• Superposition of causal order enables perfect quantum teleportation with very noisy singlets
• Quantum Entanglement: Separability, Measure, Fidelity of Teleportation and Distillation
• Entanglement Teleportation Through 1D Heisenberg Chain
• Fast and reliable entanglement distribution with quantum repeaters: principles for improving protocols using reinforcement learning
• Entangled state teleportation through a couple of quantum channels composed of XXZ dimers in an Ising-XXZ diamond chain
• Thermal entanglement and teleportation in a dipolar interacting system
• Optimal error correction in topological subsystem codes
• On the effects of an impurity in an Ising-$XXZ$ diamond chain on the thermal entanglement, on the quantum coherence and on the quantum teleportation
• Simple Non-Markovian Microscopic Models for the Depolarizing Channel of a Single Qubit
• Bidirectional quantum teleportation of even and odd coherent states through the multipartite Glauber coherent state: Theory and implementation
• Quantum teleportation via a two-qubit Heisenberg XXX chain with x-component of Dzyaloshinskii-Moriya interaction
• Simulation of non-Pauli Channels
• Exponentially enhanced quantum communication rate by multiplexing continuous-variable teleportation
• Bounds on amplitude damping channel discrimination
• Optimal teleportation via thermal entangled states of a two-qubit Heisenberg Chain
• Finite-resource teleportation stretching for continuous-variable systems
• The complementarity relations of quantum coherence in quantum information processing
• Secret key capacity of the thermal-loss channel: Improving the lower bound
• Teleportation-Induced Correlated Quantum Channels
• Ballistic quantum state transfer in spin chains: general theory for quasi-free models and arbitrary initial states
• Characterising port-based teleportation as a universal simulator of qubit channels
• Teleportation of the one-qubit state in decoherence environments
• Memory-assisted long-distance phase-matching quantum key distribution
• Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity
• Environment-induced quantum coherence spreading of a qubit
• Simulating a single qubit channel using a mixed state environment
• Deep reinforcement learning for key distribution based on quantum repeaters
• Mutual information and swap operation in the two-qubit Heisenberg model with Dzyaloshinskii-Moriya anisotropic antisymmetric interaction
• Progress towards a unified approach to entanglement distribution
• Conditional channel simulation
• Teleportation simulation of bosonic Gaussian channels: Strong and uniform convergence
• Converse bounds for quantum and private communication over Holevo-Werner channels
• Tight bounds for private communication over bosonic Gaussian channels based on teleportation simulation with optimal finite resources
• Remote sensing and faithful quantum teleportation through non-localized qubits
• Teleportation-based collective attacks in Gaussian quantum key distribution
• Preparation of polarization entangled mixed states of two photons
• Effects of partial measurements on quantum resources and quantum Fisher information of a teleported state in a relativistic scenario
• Featuring causal order in teleportation of two quantum teleportation channels
• Purifying teleportation
• Two-copy Quantum Teleportation
• Teleportation and entanglement distillation in the presence of correlation among bipartite mixed states
• Quantum channels with correlated noise and entanglement teleportation
• Noise mitigation in quantum teleportation
• Transfer and teleportation of system-environment entanglement
• Geometry of Generalized Depolarizing Channels
• Teleportation of the one-qubit state with environment-disturbed recovery operations
• Robust quantum entanglement and teleportation in the tetrapartite spin-1/2 square clusters: Theoretical study on the effect of a cyclic four-spin exchange
• Entanglement dynamics and decoherence of an atom coupled to a dissipative cavity field
• Teleportation is necessary for faithful quantum state transfer through noisy channels of maximal rank
• Entanglement fidelity of the standard quantum teleportation channel
• Causality in quantum teleportation: information extraction and noise effects in entanglement distribution
• Teleportation criteria based on maximum eigenvalue of the shared $d\otimes d$ dimenional mixed state: Beyond Singlet Fraction
• Optimizing Quantum Teleportation and Dense Coding via Mixed Noise Under Non-Markovian Approximation
• Improving teleportation fidelity in structured reservoirs
• Continuous variable port-based teleportation
• Coherent control of the causal order of entanglement distillation
• Teleporting bipartite entanglement using maximally entangled mixed channels
• Memory effects teleportation of quantum Fisher information under decoherence
• Teleportation protocol with non-ideal conditional local operations
• The classical capacity for continuous variable teleportation channel
• The Role of Entanglement in Quantum Communication, and Analysis of the Detection Loophole
• Guaranteeing Completely Positive Quantum Evolution
• Path superposition activating perfect quantum teleportation ability for separable states
• Superclassical non-Markovian open quantum dynamics
• Thermal decoherence of long-distance entanglement in spin-1 chains
• Critical assessment of information back-flow in measurement-free teleportation
• Hyperentanglement in Nanophotonic Systems with Discrete Rotational Symmetry
• Characterizing quantum phase transition by teleportation
• Witness wedges in fidelity-deviation plane: separating teleportation advantage and Bell-inequality violation
• Quantum Teleportation in Non-equilibrium Environments and Fixed-point Fidelity
• High-Fidelity Teleportation of Continuous-Variable Quantum States Via Non-Ideal Qutrit Entangled Resources