Seeding Gaussian boson samplers with single photons for enhanced state generation

Abstract

Non-Gaussian quantum states are crucial to fault-tolerant quantum computation with continuous-variable systems. Usually, generation of such states involves trade-offs between success probability and quality of the resultant state. For example, injecting squeezed light into a multimode interferometer and postselecting on certain patterns of photon-number outputs in all but one mode, a fundamentally probabilistic task, can herald the creation of cat states, Gottesman-Kitaev-Preskill (GKP) states, and more. We consider the addition of a non-Gaussian resource state, particularly single photons, to this configuration and show how it improves the qualities and generation probabilities of desired states. With only two modes, adding a single photon source improves GKP-state fidelity from 0.68 to 0.95 and adding a second then increases the success probability eightfold; for cat states with a fixed target fidelity, the probability of success can be improved by factors of up to 4 by adding single-photon sources. These demonstrate the usefulness of additional commonplace non-Gaussian resources for generating desirable states of light.

References in corpus (16)

• Perspective: Toward large-scale fault-tolerant universal photonic quantum computing
• Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission
• Propagating Gottesman-Kitaev-Preskill states encoded in an optical oscillator
• Quantum Error Correction with the Gottesman-Kitaev-Preskill Code
• Linear Optical Quantum Metrology with Single Photons: Exploiting Spontaneously Generated Entanglement to Beat the Shot-Noise Limit
• Multi-photon state engineering by heralded interference between single photons and coherent states
• Repeat-until-success cubic phase gate for universal continuous-variable quantum computation
• Resources for bosonic quantum computational advantage
• Generation of highly pure Schrödinger's cat states and real-time quadrature measurements via optical filtering
• Quantum metrology at the Heisenberg limit with ion traps
• How squeezed states both maximize and minimize the same notion of quantumness
• Simulation of quantum optics by coherent state decomposition
• Teleportation protocols with non-Gaussian operations: conditional photon subtraction versus cubic phase gate
• Experimental preparation of generalized cat states for itinerant microwave photons
• Quantifying the decay of quantum properties in single-mode states
• Enhancing nonclassical properties of quantum states of light using linear optics

Cited by in corpus (5)

• Perfect pulsed inline twin-beam squeezers
• End-to-end switchless architecture for fault-tolerant photonic quantum computing
• Quadrature Coherence Scale of Linear Combinations of Gaussian Functions in Phase Space
• Adaptive Non-Gaussian Quantum State Engineering
• Photon triplets from integrated microrings: A path towards deterministic non-Gaussianity on a chip