Utility of noiseless linear amplification and attenuation in single-rail discrete-variable quantum communications
arXiv:2512.08255 · doi:10.1103/y7qs-7wmw
Abstract
Quantum communication offers many applications, with teleportation and superdense coding being two of the most fundamental. In these protocols, pre-shared entanglement enables either the faithful transfer of quantum states or the transmission of more information than is possible classically. However, channel losses degrade the shared states, reducing teleportation fidelity and the information advantage in superdense coding. Here, we investigate how to mitigate these effects by optimising the measurements applied by the communicating parties. We formulate the problem as an optimisation over general positive operator-valued measurements (POVMs) and compare the results with physically realisable noiseless attenuation (NA) and noiseless linear amplification (NLA) circuits. For teleportation, NLA/NA and optimised POVMs improve the average fidelity by up to 78% while maintaining feasible success probabilities. For superdense coding, they enhance the quantum advantage over the classical channel capacity by more than 100% in some regimes and shift the break-even point, thereby extending the tolerable range of losses. Notably, the optimal POVMs effectively reduce to NA or NLA, showing that simple, experimentally accessible operations already capture the essential performance gains.
References in corpus (56)
- Quantum Cryptography
- Experimental quantum teleportation
- Mixed State Entanglement and Quantum Error Correction
- Gaussian Quantum Information
- Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
- Review article: Linear optical quantum computing
- Quantum privacy amplification and the security of quantum cryptography over noisy channels
- Overcoming the rate-distance barrier of quantum key distribution without using quantum repeaters
- Free-Space distribution of entanglement and single photons over 144 km
- Beating the channel capacity limit for linear photonic superdense coding
- Quantum repeaters based on entanglement purification
- Continuous variable quantum cryptography
- Quantum repeaters: From quantum networks to the quantum internet
- Quantum cryptography with squeezed states
- High-rate quantum cryptography in untrusted networks
- Dense Coding for Continuous Variables
- Experimental investigation of continuous variable quantum teleportation
- Noiseless Linear Amplification and Distillation of Entanglement
- One-step deterministic polarization entanglement purification using spatial entanglement
- Quantum teleportation across a metropolitan fibre network
- Long-distance entanglement purification for quantum communication
- A high-fidelity noiseless amplifier for quantum light states
- High-fidelity teleportation beyond the no-cloning limit and entanglement swapping for continuous variables
- Teleportation of Nonclassical Wave Packets of light
- Beating the channel capacity limit for superdense coding with entangled ququarts
- Implementation of a non-deterministic optical noiseless amplifier
- Local filtering operations on two qubits
- Nondeterministic Noiseless Linear Amplification of Quantum Systems
- Superdense coding over optical fiber links with complete Bell-state measurements
- Improving the maximum transmission distance of continuous-variable quantum key distribution using a noiseless amplifier
- Heralded Noiseless Amplification of a Photon Polarization Qubit
- Virtual noiseless amplification and Gaussian post-selection in continuous-variable quantum key distribution
- Teleportation Systems Towards a Quantum Internet
- High-fidelity continuous-variable quantum teleportation toward multi-step quantum operations
- Gaussian Post-selection for Continuous Variable Quantum Cryptography
- Quantum teleportation over the Swisscom telecommunication network
- Experimental one-step deterministic entanglement purification
- Non-deterministic Gates for Photonic Single Rail Quantum Logic
- Surpassing the no-cloning limit with a heralded hybrid linear amplifier for coherent states
- Generalized quantum scissors for noiseless linear amplification
- Long-distance continuous-variable quantum key distribution with quantum scissors
- Unconditional Continuous Variable Dense Coding
- Heralded distribution of single-photon path entanglement
- Quantum teleportation between a single-rail single-photon qubit and a coherent state qubit using hybrid entanglement under decoherence effects
- A high fidelity heralded squeezing gate
- Modifying quantum optical states by zero-photon subtraction
- Finite-size effects in continuous-variable QKD with Gaussian post-selection
- Achieving the ultimate end-to-end rates of lossy quantum communication networks
- Experimental quantum teleportation over a high-loss free-space channel
- Surpassing the repeaterless bound with a photon-number encoded measurement-device-independent quantum key distribution protocol
- Long-distance continuous-variable quantum key distribution with feasible physical noiseless linear amplifiers
- Quantum channel correction outperforming direct transmission
- Teleportation of a genuine single-rail vacuum-one-photon qubit generated via a quantum dot source
- Transfer of different types of optical qubits over a lossy environment
- Enhanced continuous-variable quantum key distribution protocol via adaptive signal processing
- Entanglement distribution via satellite: an evaluation of competing protocols assuming realistic free-space optical channels