Room-Temperature Photonic Logical Qubits via Second-Order Nonlinearities

Abstract

Recent progress in nonlinear optical materials and microresonators has brought quantum computing with bulk optical nonlinearities into the realm of possibility. This platform is of great interest, not only because photonics is an obvious choice for quantum networks, but also because it may be the only feasible route to quantum information processing at room temperature. We introduce a paradigm for room-temperature photonic quantum logic that significantly simplifies the realization of various quantum circuits, and in particular, of error correction. It uses only the strongest available bulk nonlinearity, namely the ${\chi }^{(2)}$ nonlinear susceptibility. The key element is a three-mode resonator that implements programmable bosonic quantum logic gates. We show that just two of these elements suffice for a complete, compact error-correction circuit on a bosonic code, without the need for measurement or feed-forward control. An extrapolation of current progress in nonlinear optical materials and photonic circuits indicates that such circuitry should be achievable within the next decade.

References in corpus (51)

• Elementary gates for quantum computation
• Gaussian Quantum Information
• Review article: Linear optical quantum computing
• Quantum computation over continuous variables
• Universal Linear Optics
• Monolithic Ultrahigh-Q Lithium Niobate Microring Resonator
• Periodically poled thin film lithium niobate microring resonators with a second-harmonic generation efficiency of 250,000%/W
• Efficient Classical Simulation of Continuous Variable Quantum Information Processes
• New class of quantum error-correcting codes for a bosonic mode
• Fault-Tolerant Error Correction with Efficient Quantum Codes
• Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
• Performance and structure of single-mode bosonic codes
• Active silicon integrated nanophotonics: ferroelectric BaTiO3 devices
• Observation of the dynamic Jahn-Teller effect in the excited states of nitrogen-vacancy centers in diamond
• Integrated high quality factor lithium niobate microdisk resonators
• Nanophotonic Pockels modulators on a silicon nitride platform
• Electron-phonon processes of the silicon-vacancy centre in diamond
• Exponential suppression of bit-flips in a qubit encoded in an oscillator
• Towards 1% single photon nonlinearity with periodically-poled lithium niobate microring resonators
• Impossibility of large phase shifts via the "giant Kerr effect" with single-photon wavepackets
• Universal Control of an Oscillator with Dispersive Coupling to a Qubit
• Room-temperature implementation of the Deutsch-Jozsa algorithm with a single electronic spin in diamond
• A Simple Proof that Toffoli and Hadamard are Quantum Universal
• 17,000 %/W Second Harmonic Conversion Efficiency in Single Crystalline Aluminum Nitride Microresonators
• Both Toffoli and Controlled-NOT need little help to do universal quantum computation
• Controlled-phase Gate using Dynamically Coupled Cavities and Optical Nonlinearities
• Quantum error correction against photon loss using NOON states
• A Very Small Logical Qubit
• Quantum well stabilized point defect spin qubits
• 400%/W second harmonic conversion efficiency in $14\mu \mathrm{m}$-diameter gallium phosphide-on-oxide resonators
• High-Q two-dimensional lithium niobate photonic crystal slab nanoresonators
• Evaluating Performance of Photon-Number-Resolving Detectors
• Transverse multi-mode effects on the performance of photon-photon gates
• The upside of noise: engineered dissipation as a resource in superconducting circuits
• Engineering Quantum States of a Nano-Resonator via a Simple Auxiliary System
• Improved error thresholds for measurement-free error correction
• Qudit-Basis Universal Quantum Computation using ${\chi }^{(2)}$ Interactions
• Room temperature manipulation of long lifetime spins in metallic-like carbon nanospheres
• Implementation-independent sufficient condition of the Knill-Laflamme type for the autonomous protection of logical qudits by strong engineered dissipation
• The electron-phonon processes of the nitrogen-vacancy center in diamond
• Why you should not use the electric field to quantize in nonlinear optics
• Photon-Photon Interactions in Dynamically Coupled Cavities
• Photon-photon quantum phase gate in a photonic molecule with ${\chi }^{(2)}$ nonlinearity
• Hardware-Efficient Bosonic Quantum Error-Correcting Codes Based on Symmetry Operators
• Fundamental thermal noise limits for optical microcavities
• Phase-noise limitations on single-photon cross-phase modulation with differing group velocities
• Spectral Effects of Strong Chi-2 Non-Linearity for Quantum Processing
• General modeling framework for quantum photodetectors
• The role of quantum measurements in physical processes and protocols
• High-Threshold Low-Overhead Fault-Tolerant Classical Computation and the Replacement of Measurements with Unitary Quantum Gates
• Highly-efficient second and third harmonic generation in a monocrystalline lithium niobate microresonator

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• Entanglement growth via splitting of a few thermal quanta
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• Tunable quantum logic gate on photonic qubits with a ladder emitter
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• Quantum Error Correction with Superpositions of Squeezed Fock States