Simulation of non-Pauli Channels

Abstract

We consider the simulation of a quantum channel by two parties who share a resource state and may apply local operations assisted by classical communication (LOCC). One specific type of such LOCC is standard teleportation, which is however limited to the simulation of Pauli channels. Here we show how we can easily enlarge this class by means of a minimal perturbation of the teleportation protocol, where we introduce noise in the classical communication channel between the remote parties. By adopting this noisy protocol, we provide a necessary condition for simulating a non-Pauli channel. In particular, we characterize the set of channels that are generated assuming the Choi matrix of an amplitude damping channel as a resource state. Within this set, we identify a class of Pauli-damping channels for which we bound the two-way quantum and private capacities.

arXiv commentMinor typos corrected

References in corpus (41)

• Mixed State Entanglement and Quantum Error Correction
• Quantum information with continuous variables
• Gaussian Quantum Information
• Quantifying Entanglement
• Entanglement Measures and Purification Procedures
• Fundamental Limits of Repeaterless Quantum Communications
• General Benchmarks for Quantum Repeaters
• The Role of Relative Entropy in Quantum Information Theory
• Advances in Quantum Teleportation
• Teleportation of Quantum States
• Quantum Illumination with Gaussian States
• Information-theoretic aspects of quantum inseparability of mixed states
• Programmable quantum gate arrays
• Capacities of Quantum Erasure Channels
• Secure key from bound entanglement
• A No-Go Theorem for Gaussian Quantum Error Correction
• Statistical distinguishability between unitary operations
• All Teleportation and Dense Coding Schemes
• Teleportation as a Depolarizing Quantum Channel, Relative Entropy and Classical Capacity
• Direct and Reverse Secret-Key Capacities of a Quantum Channel
• Error correction for continuous quantum variables
• Quantum Reading of a Classical Digital Memory
• Optimal discrimination of quantum operations
• Efficient tools for quantum metrology with uncorrelated noise
• Asymptotic teleportation scheme as a universal programmable quantum processor
• Converse bounds for private communication over quantum channels
• Universal teleportation with a twist
• Rate-distance tradeoff and resource costs for all-optical quantum repeaters
• Parameter estimation of quantum channels
• Quantum Teleportation with Continuous Variables: a survey
• Ultimate Precision of Adaptive Noise Estimation
• Reverse Coherent Information
• General bounds for sender-receiver capacities in multipoint quantum communications
• On the power of PPT-preserving and non-signalling codes
• Quantum tomography as a tool for the characterization of optical devices
• Ultrafast Fault-Tolerant Long-Distance Quantum Communication with Static Linear Optics
• Entanglement of the Antisymmetric State
• Computing the distance between quantum channels: Usefulness of the Fano representation
• Role of syndrome information on a one-way quantum repeater using teleportation-based error correction
• Assessing the performance of quantum repeaters for all phase-insensitive Gaussian bosonic channels
• Simulating a single qubit channel using a mixed state environment

Cited by in corpus (18)

• End-to-end capacities of a quantum communication network
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• Fundamental limits to quantum channel discrimination
• Finite size analysis of measurement device independent quantum cryptography with continuous variables
• Continuous-variable quantum key distribution in fast fading channels
• Bounds for multi-end communication over quantum networks
• Versatile relative entropy bounds for quantum networks
• Bounds on amplitude damping channel discrimination
• Finite-resource teleportation stretching for continuous-variable systems
• Characterising port-based teleportation as a universal simulator of qubit channels
• General upper bounds for distributing conferencing keys in arbitrary quantum networks
• Teleportation simulation of bosonic Gaussian channels: Strong and uniform convergence
• Adaptive estimation and discrimination of Holevo-Werner channels
• Improving the lower bound to the secret-key capacity of the thermal amplifier channel
• Continuous variable port-based teleportation
• Transmission distance in the space of quantum channels
• Quantum Machine Learning for Distributed Quantum Protocols with Local Operations and Noisy Classical Communications
• The Role of Entanglement in Quantum Communication, and Analysis of the Detection Loophole