6 papers · 1 filter
Magic State Distillation via Codes over Binary Extension Fields
Anqi Gong, Christopher A. Pattison, Patrick Rall +1
Fault-tolerant quantum computation architectures are frequently bottlenecked by the overhead of producing high-fidelity magic states. In this work, we use algebraic geometric techn…
Concatenating Algebraic Codes over High-Rate Quantum LDPC Codes
Adam Wills, Michael E. Beverland, Lev S. Bishop +4
Different quantum error correction schemes trade off overhead, error suppression, and hardware connectivity. Code concatenation can relax these tradeoffs by using an outer code who…
Distilling Magic States in the Bicycle Architecture
Shifan Xu, Kun Liu, Patrick Rall +2
Magic State Distillation is considered to be one of the promising methods for supplying the non-Clifford resources required to achieve universal fault tolerance. Conventional MSD p…
Improved QLDPC Surgery: Logical Measurements and Bridging Codes
Andrew W. Cross, Zhiyang He, Patrick J. Rall +1
In this paper, we introduce the gauge-fixed QLDPC surgery scheme, an improved logical measurement scheme based on the construction of Cohen et al. (Sci. Adv. 8, eabn1717). Our sche…
Tour de gross: A modular quantum computer based on bivariate bicycle codes
Theodore J. Yoder, Eddie Schoute, Patrick Rall +5
We present the bicycle architecture, a modular quantum computing framework based on high-rate, low-overhead quantum LDPC codes identified in prior work. For two specific bivariate…
Halving the Cost of Quantum Algorithms with Randomization
John M. Martyn, Patrick Rall
Quantum signal processing (QSP) provides a systematic framework for implementing a polynomial transformation of a linear operator, and unifies nearly all known quantum algorithms.…