494 citations · 1.3k across the 21 of their papers we have counts for
6 papers · 2 filters
Extra Shared Entanglement Reduces Memory Demand in Quantum Convolutional Coding
Mark M. Wilde, Todd A. Brun
We show how extra entanglement shared between sender and receiver reduces the memory requirements for a general entanglement-assisted quantum convolutional code. We construct quant…
Protecting Quantum Information with Entanglement and Noisy Optical Modes
Mark M. Wilde, Todd A. Brun
We incorporate active and passive quantum error-correcting techniques to protect a set of optical information modes of a continuous-variable quantum information system. Our method…
Operator quantum error correction for continuous dynamics
Ognyan Oreshkov, Daniel A. Lidar, Todd A. Brun
We study the conditions under which a subsystem code is correctable in the presence of noise that results from continuous dynamics. We consider the case of Markovian dynamics as we…
Fault-tolerant holonomic quantum computation
Ognyan Oreshkov, Todd A. Brun, Daniel A. Lidar
We explain how to combine holonomic quantum computation (HQC) with fault tolerant quantum error correction. This establishes the scalability of HQC, putting it on equal footing wit…
Optimal Entanglement Formulas for Entanglement-Assisted Quantum Coding
Mark M. Wilde, Todd A. Brun
We provide several formulas that determine the optimal number of entangled bits (ebits) that a general entanglement-assisted quantum code requires. Our first theorem gives a formul…
Unified Quantum Convolutional Coding
Mark M. Wilde, Todd A. Brun
We outline a quantum convolutional coding technique for protecting a stream of classical bits and qubits. Our goal is to provide a framework for designing codes that approach the `…