Conditional channel simulation
arXiv:1807.00784 · doi:10.1016/j.aop.2018.11.014
Abstract
In this work we design a specific simulation tool for quantum channels which is based on the use of a control system. This allows us to simulate an average quantum channel which is expressed in terms of an ensemble of channels, even when these channel-components are not jointly teleportation-covariant. This design is also extended to asymptotic simulations, continuous ensembles, and memory channels. As an application, we derive relative-entropy-of-entanglement upper bounds for private communication over various channels, including non-Gaussian mixtures of bosonic lossy channels. Among other results, we also establish the two-way quantum and private capacity of the so-called `dephrasure' channel.
arXiv comment9 pages. 1 figure
References in corpus (19)
- Mixed State Entanglement and Quantum Error Correction
- 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
- Programmable quantum gate arrays
- Teleportation as a Depolarizing Quantum Channel, Relative Entropy and Classical Capacity
- Asymptotic teleportation scheme as a universal programmable quantum processor
- Theory of channel simulation and bounds for private communication
- Fundamental limits to quantum channel discrimination
- Quantum teleportation scheme by selecting one of multiple output ports
- Dephrasure channel and superadditivity of coherent information
- Capacities of repeater-assisted quantum communications
- Port-based teleportation in arbitrary dimension
- Gaussian Entanglement Distribution via Satellite
- Some remarks on port-based teleportation
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- Distributed Private Randomness Distillation
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- End-to-End Capacities of Hybrid Quantum Networks
- Advanced Alicki-Fannes-Winter method for energy-constrained quantum systems and its use
- Improving the lower bound to the secret-key capacity of the thermal amplifier channel
- Quantum Computation and Communication in Bosonic Systems