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quant-ph2001
Exact and Approximate Performance of Concatenated Quantum Codes
Benjamin Rahn, Andrew C. Doherty, Hideo Mabuchi
We derive the effective channel for a logical qubit protected by an arbitrary quantum error-correcting code, and derive the map between channels induced by concatenation. For certa…
quant-ph2001
A Balanced Truncation Primer
Benjamin Rahn
Balanced truncation, a technique from robust control theory, is a systematic method for producing simple approximate models of complex linear systems. This technique may have signi…
quant-ph1999
Robust quantum computation by simulation
Seth Lloyd, Benjamin Rahn, Charlene Ahn
Simulation of quantum systems that provide intrinsically fault-tolerant quantum computation is shown to preserve fault tolerance. Errors committed in the course of simulation are e…