Continuous-time Quantum Error Correction with Noise-assisted Quantum Feedback

@article{Cardona2019ContinuoustimeQE,
  title={Continuous-time Quantum Error Correction with Noise-assisted Quantum Feedback},
  author={Gerardo Cardona and Alain Sarlette and Pierre Rouchon},
  journal={IFAC-PapersOnLine},
  year={2019}
}
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References

SHOWING 1-10 OF 19 REFERENCES
Continuous quantum error correction as classical hybrid control
TLDR
A focused case study is presented, connecting continuous QEC with elements of hybrid control theory, showing that canonical methods of the latter engineering discipline can be applied fruitfully in the design of separated controller structures for quantum memories based on coding and continuous syndrome measurement.
Exponential Stochastic Stabilization of a Two-Level Quantum System via Strict Lyapunov Control
TLDR
This article provides a novel continuous-time state feedback control strategy to stabilize an eigenstate of the Hermitian measurement operator of a two-level quantum system and shows that this leads to a global exponential convergence property with a strict Lyapunov function.
Quantum error correction for continuously detected errors
We show that quantum feedback control can be used as a quantum-error-correction process for errors induced by a weak continuous measurement. In particular, when the error model is restricted to one,…
Continuous quantum error correction via quantum feedback control
We describe a protocol for continuously protecting unknown quantum states from decoherence that incorporates design principles from both quantum error correction and quantum feedback control. Our…
Practical scheme for error control using feedback
We describe a scheme for quantum-error correction that employs feedback and weak measurement rather than the standard tools of projective measurement and fast controlled unitary gates. The advantage…
Extending the lifetime of a quantum bit with error correction in superconducting circuits
TLDR
A QEC system that reaches the break-even point by suppressing the natural errors due to energy loss for a qubit logically encoded in superpositions of Schrödinger-cat states of a superconducting resonator is demonstrated.
Locally optimal measurement-based quantum feedback with application to multiqubit entanglement generation
TLDR
Application of the PaQS approach to generation of N-qubit W, general Dicke and GHZ states shows that such entangled states can be efficiently generated with high fidelity, for up to N = 100 in some cases.
Realization of three-qubit quantum error correction with superconducting circuits
TLDR
This work encodes a quantum state, induce errors on the qubits and decode the error syndrome, which is used as the input to a three-qubit gate that corrects the primary qubit if it was flipped, and demonstrates the predicted first-order insensitivity to errors.
Repetition cat-qubits: fault-tolerant quantum computation with highly reduced overhead
TLDR
This work builds, at the level of the repetition cat-qubit, a universal set of fully protected logical gates, which includes single qubit preparations and measurements, NOT, controlled-NOT and controlled-controlled-NOT (Toffoli) gates.
Quantum Trajectories and Measurements in Continuous Time: The Diffusive Case
I General theory.- The Stochastic Schr#x00F6 dinger Equation.- The Stochastic Master Equation: Part I.- Continuous Measurements and Instruments.- The Stochastic Master Equation: Part II.- Mutual…
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