4 papers
Poincaré Duality and Multiplicative Structures on Quantum Codes
Yiming Li, Zimu Li, Zi-Wen Liu +1
Quantum LDPC codes have attracted intense interest due to their advantageous properties for realizing efficient fault-tolerant quantum computing. In particular, sheaf codes represe…
Composable Quantum Fault-Tolerance
Zhiyang He, Quynh T. Nguyen, Christopher A. Pattison
Proving threshold theorems for fault-tolerant quantum computation is a burdensome endeavor with many moving parts that come together in relatively formulaic but lengthy ways. It is…
A distillation-teleportation protocol for fault-tolerant QRAM
Alexander M. Dalzell, András Gilyén, Connor T. Hann +5
We present a protocol for fault-tolerantly implementing the logical quantum random access memory (QRAM) operation, given access to a specialized, noisy QRAM device. For coherently…
Quantum fault tolerance with constant-space and logarithmic-time overheads
Quynh T. Nguyen, Christopher A. Pattison
In a model of fault-tolerant quantum computation with quick and noiseless polyloglog-time auxiliary classical computation, we construct a fault tolerance protocol with constant-spa…