Ideal Quantum Tele-amplification up to a Selected Energy Cut-off using Linear Optics

Abstract

We introduce a linear optical technique that can implement ideal quantum tele-amplification up to the $n^{\mathrm{th}}$ Fock state, where $n$ can be any positive integer. Here tele-amplification consists of both quantum teleportation and noiseless linear amplification (NLA). This simple protocol consists of a beam-splitter and an $(n+1)$-splitter, with $n$ ancillary photons and detection of $n$ photons. For a given target fidelity, our technique improves success probability and physical resource costs by orders of magnitude over current alternative teleportation and NLA schemes. We show how this protocol can also be used as a loss-tolerant quantum relay for entanglement distribution and distillation.

arXiv comment6 pages (main) + 16 pages (supplementary), 5 figures (main) + 11 figures (supplementary). Main change is the addition of a new section describing how our scheme still works well given experimental imperfections + additional success probability paragraph

References in corpus (47)

• The Quantum Internet
• Mixed State Entanglement and Quantum Error Correction
• A computable measure of entanglement
• Quantum Teleportation is a Universal Computational Primitive
• The logarithmic negativity: A full entanglement monotone that is not convex
• General Benchmarks for Quantum Repeaters
• Fundamental Limits of Repeaterless Quantum Communications
• Overcoming the rate-distance barrier of quantum key distribution without using quantum repeaters
• Detecting Single Infrared Photons with 93% System Efficiency
• Extremal entanglement and mixedness in continuous variable systems
• Photonic quantum information processing: a concise review
• Sending-or-Not-Sending with Independent Lasers: Secure Twin-Field Quantum Key Distribution Over 509 km
• Noiseless Linear Amplification and Distillation of Entanglement
• Proposal for Implementing Device-Independent Quantum Key Distribution based on a Heralded Qubit Amplification
• The entanglement cost under operations preserving the positivity of partial transpose
• A high-fidelity noiseless amplifier for quantum light states
• Experimental Twin-Field Quantum Key Distribution Through Sending-or-Not-Sending
• Implementation of a non-deterministic optical noiseless amplifier
• Gaussian Entanglement of Formation
• Quantum Sampling Problems, BosonSampling and Quantum Supremacy
• Noise-Powered Probabilistic Concentration of Phase Information
• Nondeterministic Noiseless Linear Amplification of Quantum Systems
• Improving the maximum transmission distance of continuous-variable quantum key distribution using a noiseless amplifier
• Conversion of Gaussian states to non-Gaussian states using photon-number-resolving detectors
• Engineering quantum operations on traveling light beams by multiple photon addition and subtraction
• Quantum Error Correction of Continuous Variable States against Gaussian Noise
• Reverse Coherent Information
• Quantum Repeaters Using Continuous Variable Teleportation
• Entanglement of formation for an arbitrary two-mode Gaussian state
• Quantifying entanglement in two-mode Gaussian states
• High Fidelity Teleportation of Continuous Variable Quantum States using Delocalized Single Photons
• Multiphoton interference in quantum Fourier transform circuits and applications to quantum metrology
• Quantum repeater for continuous variable entanglement distribution
• Quantifying entanglement of formation for two-mode Gaussian states: Analytical expressions for upper and lower bounds and numerical estimation of its exact value
• Quantum tele-amplification with a continuous variable superposition state
• Generalized quantum scissors for noiseless linear amplification
• Long-distance continuous-variable quantum key distribution with quantum scissors
• Continuous-variable quantum repeater based on quantum scissors and mode multiplexing
• Continuous-variable entanglement distillation over a pure loss channel with multiple quantum scissors
• Improve the Maximum Transmission Distance of Four-State Continuous Variable Quantum Key Distribution by using a Noiseless Linear Amplifier
• Repeater-enhanced distributed quantum sensing based on continuous-variable multipartite entanglement
• Quantum error-correction of continuous-variable states with realistic resources
• Nondeterministic Amplifier for Two Photon Superpositions
• Quantum enhancement of signal-to-noise ratio with a heralded linear amplifier
• Directly Measuring a Multiparticle Quantum Wave Function via Quantum Teleportation
• Teleportation-based noiseless quantum amplification of coherent states of light
• Multipartite Gaussian Entanglement of Formation

Cited by in corpus (11)

• Achieving the ultimate end-to-end rates of lossy quantum communication networks
• Long-distance continuous-variable quantum key distribution with feasible physical noiseless linear amplifiers
• Noiseless Linear Amplification and Loss-Tolerant Quantum Relay using Coherent State Superpositions
• Quantum error cancellation in photonic systems -- undoing photon losses
• Performance optimization of continuous variable quantum teleportation with generalized photon-varying non-Gaussian operations
• Quantum communications in continuous variable systems
• Entanglement distribution via satellite: an evaluation of competing protocols assuming realistic free-space optical channels
• Teleamplification on the Borealis boson-sampling device
• Multipartite entanglement classes of a multiport beam-splitter
• Engineering Non-Gaussian Bosonic Gates through Quantum Signal Processing
• Tripartite entanglement and tripartite steering in three-qubit pure states induced by vacuum--one-photon superpositions