Design of nanophotonic circuits for autonomous subsystem quantum error correction

Abstract

We reapply our approach to designing nanophotonic quantum memories to formulate an optical network that autonomously protects a single logical qubit against arbitrary single-qubit errors. Emulating the 9 qubit Bacon-Shor subsystem code, the network replaces the traditionally discrete syndrome measurement and correction steps by continuous, time-independent optical interactions and coherent feedback of unitarily processed optical fields.

arXiv comment12 pages, 4 figures

References in corpus (9)

• Operator Quantum Error Correcting Subsystems for Self-Correcting Quantum Memories
• A Unified and Generalized Approach to Quantum Error Correction
• Continuous quantum error correction via quantum feedback control
• Subsystem fault tolerance with the Bacon-Shor code
• Network Synthesis of Linear Dynamical Quantum Stochastic Systems
• Designing quantum memories with embedded control: photonic circuits for autonomous quantum error correction
• Physical model of continuous two-qubit parity measurement in a cavity-QED network
• Cavity-QED models of switches for attojoule-scale nanophotonic logic
• Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks

Cited by in corpus (18)

• Quantum Error Correction for Quantum Memories
• Quantum feedback: theory, experiments, and applications
• The SLH framework for modeling quantum input-output networks
• Advantages of Coherent Feedback for Cooling Quantum Oscillators
• Pair-cat codes: autonomous error-correction with low-order nonlinearity
• Coherent controllers for optical-feedback cooling of quantum oscillators
• Dissipation-induced continuous quantum error correction for superconducting circuits
• Specification of photonic circuits using Quantum Hardware Description Language
• Implementation-independent sufficient condition of the Knill-Laflamme type for the autonomous protection of logical qudits by strong engineered dissipation
• A superconducting microwave multivibrator produced by coherent feedback
• Quantum computation with cat qubits
• Coherent feedback control in quantum transport
• Quantum Teleportation of Dynamics and Effective Interactions Between Remote Systems
• Transformation of quantum photonic circuit models by term rewriting
• On structure-preserving transformations of the Ito generator matrix for model reduction of quantum feedback networks
• Gauge subsystems, separability, and robustness in autonomous quantum memories
• Silicon nanophotonics for scalable quantum coherent feedback networks
• Photonic circuits for iterative decoding of a class of low-density parity-check codes