Non-Gaussian operations on bosonic modes of light: Photon-added Gaussian channels

Abstract

We present a framework for studying bosonic non-Gaussian channels of continuous-variable systems. Our emphasis is on a class of channels that we call photon-added Gaussian channels, which are experimentally viable with current quantum-optical technologies. A strong motivation for considering these channels is the fact that it is compulsory to go beyond the Gaussian domain for numerous tasks in continuous-variable quantum information processing such as entanglement distillation from Gaussian states and universal quantum computation. The single-mode photon-added channels we consider are obtained by using two-mode beam splitters and squeezing operators with photon addition applied to the ancilla ports giving rise to families of non-Gaussian channels. For each such channel, we derive its operator-sum representation, indispensable in the present context. We observe that these channels are Fock preserving (coherence nongenerating). We then report two examples of activation using our scheme of photon addition, that of quantum-optical nonclassicality at outputs of channels that would otherwise output only classical states and of both the quantum and private communication capacities, hinting at far-reaching applications for quantum-optical communication. Further, we see that noisy Gaussian channels can be expressed as a convex mixture of these non-Gaussian channels. We also present other physical and information-theoretic properties of these channels.

Published as Editor's Suggestion, v4: 19 pages, 17 figures, close to published version, minor changes throughout

References in corpus (16)

• Universal Quantum Computation with Continuous-Variable Cluster States
• Generation of a superposition of odd photon number states for quantum information networks
• Progressive field-state collapse and quantum non-demolition photon counting
• Increasing entanglement between Gaussian states by coherent photon subtraction
• A No-Go Theorem for Gaussian Quantum Error Correction
• Quantifying the non-Gaussian character of a quantum state by quantum relative entropy
• Continuous variable quantum teleportation with non-Gaussian resources
• Optimal estimation of losses at the ultimate quantum limit with non-Gaussian states
• Entanglement of assistance and multipartite state distillation
• The optimal cloning of quantum coherent states is non-Gaussian
• One-mode Bosonic Gaussian channels: a full weak-degradability classification
• Experimental determination of a nonclassical Glauber-Sudarshan P function
• Non-Gaussian states for continuous variable quantum computation via Gaussian maps
• Could Gaussian regenerative stations act as quantum repeaters?
• Gaussian States Minimize the Output Entropy of the One-Mode Quantum Attenuator
• Highly non-Gaussian states created via cross-Kerr nonlinearity

Cited by in corpus (30)

• Resource theory of quantum non-Gaussianity and Wigner negativity
• Conversion of Gaussian states to non-Gaussian states using photon-number-resolving detectors
• Resource theory of non-Gaussian operations
• Simulating realistic non-Gaussian state preparation
• Production of photonic universal quantum gates enhanced by machine learning
• Energy-constrained private and quantum capacities of quantum channels
• ON states as resource units for universal quantum computation with photonic architectures
• Classical shadow tomography for continuous variables quantum systems
• Efficient backcasting search for optical quantum state synthesis
• Convergence rates for the quantum central limit theorem
• Implementing quantum algorithms on temporal photonic cluster states
• All phase-space linear bosonic channels are approximately Gaussian dilatable
• Bosonic quantum communication across arbitrarily high loss channels
• Magic Resource Can Enhance the Quantum Capacity of Channels
• Quantum Optical Communication in the presence of strong attenuation noise
• Gaussian ancillary bombardment
• Non-Gaussian state generation with time-gated photon detection
• Refined diamond norm bounds on the emergence of objectivity of observables
• Changing Fock matrix elements of two-mode squeezed vacuum state by employing three quantum operations in one-sided lossy channel
• Fock majorization in bosonic quantum channels with a passive environment
• Energy-constrained LOCC-assisted quantum capacity of bosonic dephasing channel
• Bosonic data hiding: power of linear vs non-linear optics
• Multiparticle quantum interference in Bogoliubov bosonic transformations
• Divergence-free approach for obtaining decompositions of quantum-optical processes
• Linear bosonic quantum channels defined by superpositions of maximally distinguishable Gaussian environments
• Scaling maps of $s$-ordered quasiprobabilities are either nonpositive or completely positive
• Distillation of maximally correlated bosonic matter from many-body quantum coherence
• Majorization theoretical approach to entanglement enhancement via local filtration
• Classical capacity of quantum non-Gaussian attenuator and amplifier channels
• Isospectral oscillators as a resource for quantum information processing