Passive correction of quantum logical errors in a driven, dissipative system: a blueprint for an analog quantum code fabric

Abstract

A physical realization of self correcting quantum code would be profoundly useful for constructing a quantum computer. In this theoretical work, we provide a partial solution to major challenges preventing self correcting quantum code from being engineered in realistic devices. We consider a variant of Kitaev's toric code coupled to propagating bosons, which induce a long-ranged interaction between anyonic defects. By coupling the primary quantum system to an engineered dissipation source through resonant energy transfer, we demonstrate a "rate barrier" which leads to a potentially enormous increase in the system's quantum state lifetime through purely passive quantum error correction, even when coupled to an infinite temperature bath. While our mechanism is not scalable to infinitely large systems, the maximum effective size can be very large, and it is fully compatible with active error correction schemes. Our model uses only on-site and nearest-neighbor interactions, and could be implemented in superconducting qubits. We sketch one such implementation at the end of this work.

19 pages (with references), 12 figures

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• Quantum memories at finite temperature
• Autonomous Quantum Error Correction and Application to Quantum Sensing with Trapped Ions
• Universal stabilization of a parametrically coupled qubit
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• Comparing and combining measurement-based and driven-dissipative entanglement stabilization
• Cooling and Autonomous Feedback in a Bose-Hubbard chain with Attractive Interactions
• A Very Small Logical Qubit
• Engineering topological materials in microwave cavity arrays
• Unconventional Rydberg pumping and applications in quantum information processing
• The upside of noise: engineered dissipation as a resource in superconducting circuits
• Implementation-independent sufficient condition of the Knill-Laflamme type for the autonomous protection of logical qudits by strong engineered dissipation
• Observation of a broadband Lamb shift in an engineered quantum system
• Error-transparent quantum gates for small logical qubit architectures
• An Autonomous Stabilizer for Incompressible Photon Fluids and Solids
• Driven Dissipative Majorana Dark Spaces
• Universal two-qubit interactions, measurement and cooling for quantum simulation and computing
• Quantum Origami: Transversal Gates for Quantum Computation and Measurement of Topological Order
• Towards dark space stabilization and manipulation in driven dissipative Majorana platforms
• Quantum Computation with Topological Codes: from qubit to topological fault-tolerance
• A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less)
• Universal stabilization of single-qubit states using a tunable coupler
• Exponential Lifetime Improvement in Topological Quantum Memories
• Engineering autonomous error correction in stabilizer codes at finite temperature
• Ground-state Stabilization of Open Quantum Systems by Dissipation
• Stabilizing Quantum States and Automatic Error Correction by Dissipation Control
• Bounds on Autonomous Quantum Error Correction
• Protected ground states in short chains of coupled spins in circuit quantum electrodynamics
• Stable quantum memories with limited measurement