Bounds on amplitude damping channel discrimination
arXiv:2009.04783 · doi:10.1103/PhysRevA.103.022610
Abstract
Amplitude damping (AD) channels are good models for many physical scenarios, and so the development of protocols to discriminate between them is an important task in quantum information science. It is therefore important to bound the performance of such protocols. Since adaptivity has been shown to improve the performance of discrimination protocols, bounds on the distinguishability of AD channels must take this into account. In this paper, we use both channel simulation and a bound based on the diamond norm to significantly tighten the upper bound on the trace norm between the possible outputs of binary channel discrimination protocols acting on AD channels (and hence the lower bound on the error probability of such protocols). The diamond norm between any two AD channels is found analytically, giving the optimal error probability for a one-shot discrimination protocol. We also present a tighter lower bound on the achievable trace norm between protocol outputs (and a corresponding upper bound on the achievable error probability). The upper and lower bounds are compared with existing bounds and then applied to quantum hacking and biological quantum sensing scenarios.
arXiv comment15 pages, 7 figures. Similar to published version
References in corpus (44)
- Advances in Quantum Cryptography
- Quantum Communication Through an Unmodulated Spin Chain
- General Benchmarks for Quantum Repeaters
- Fundamental Limits of Repeaterless Quantum Communications
- Advances in Photonic Quantum Sensing
- Quantum Illumination with Gaussian States
- The Quantum Chernoff Bound
- Quantum Illumination at the Microwave Wavelengths
- Microwave Quantum Illumination
- Experimental realisation of quantum illumination
- Entanglement-Enhanced Sensing in a Lossy and Noisy Environment
- Statistical distinguishability between unitary operations
- Teleportation as a Depolarizing Quantum Channel, Relative Entropy and Classical Capacity
- Quantum Reading of a Classical Digital Memory
- Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states
- Quantum illumination versus coherent-state target detection
- Asymptotic teleportation scheme as a universal programmable quantum processor
- The quantum Chernoff bound as a measure of distinguishability between density matrices: application to qubit and Gaussian states
- Entanglement's Benefit Survives an Entanglement-Breaking Channel
- Practical security bounds against the Trojan-horse attack in quantum key distribution
- Fundamental limits to quantum channel discrimination
- Adaptive versus non-adaptive strategies for quantum channel discrimination
- Quantum teleportation scheme by selecting one of multiple output ports
- Attacks on practical quantum key distribution systems (and how to prevent them)
- Gaussian hypothesis testing and quantum illumination
- Discrimination of two channels by adaptive methods and its application to quantum system
- Fundamental limits of quantum illumination
- The minimum error probability of quantum illumination
- Entanglement-enhanced Neyman-Pearson target detection using quantum illumination
- Quantum Illumination with a generic Gaussian source
- Energy-constrained diamond norms and their use in quantum information theory
- Ultimate limits for multiple quantum channel discrimination
- Quantum illumination for enhanced detection of Rayleigh-fading targets
- Energy-constrained diamond norm with applications to the uniform continuity of continuous variable channel capacities
- Convex optimization of programmable quantum computers
- Optimization and learning of quantum programs
- Almost all quantum channels are equidistant
- Simulation of non-Pauli Channels
- Characterising port-based teleportation as a universal simulator of qubit channels
- Conditional channel simulation
- Discriminating qubit amplitude damping channels
- Detecting and tracking bacteria with quantum light
- Evaluating the Advantage of Adaptive Strategies for Quantum Channel Distinguishability
- Entanglement-Enhanced Lidars for Simultaneous Range and Velocity Measurements
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