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- Kathleen E. Hamilton, Leonid P. Pryadko
- Physical review letters
- 2014

We construct a tight lower bound for the site percolation threshold on an infinite graph, which becomes exact for an infinite tree. The bound is given by the inverse of the maximal eigenvalue of the… (More)

- Yunfan Li, Ilya Dumer, Markus Grassl, Leonid P. Pryadko
- ArXiv
- 2009

Code-word-stabilized (CWS) codes are, in general, nonadditive quantum codes that can correct errors by an exhaustive search of different error patterns, similar to the way that we decode classical… (More)

- Hsiang-Ku Lin, Roya Zandi, Umar Mohideen, Leonid P. Pryadko
- Physical review letters
- 2011

We develop an exact method to calculate thermal Casimir forces between inclusions of arbitrary shapes and separation, embedded in a fluid membrane whose fluctuations are governed by the combined… (More)

- Alexandr Kovalev, Leonid P. Pryadko
- 2012 IEEE International Symposium on Information…
- 2012

We suggest several techniques to improve the toric codes and the finite-rate generalized toric codes (quantum hypergraph-product codes) recently introduced by Tillich and Zémor. For the usual… (More)

- Pinaki Prasad Sengupta, Leonid P. Pryadko, Fabien Alet, Matthias Troyer, Guido Schmid
- Physical review letters
- 2005

We study the nature of the ground state of the two-dimensional extended boson Hubbard model on a square lattice by quantum Monte Carlo methods. We demonstrate that strong but finite on-site… (More)

- Yunfan Li, Ilya Dumer, Leonid P. Pryadko
- Physical review letters
- 2010

Codeword-stabilized codes are a general class of quantum codes that includes stabilizer codes and many families of nonadditive codes with good parameters. For such a nonadditive code correcting all… (More)

- Sergei Khlebnikov, Leonid P. Pryadko
- Physical review letters
- 2005

To study the effect of disorder on quantum phase slips (QPSs) in superconducting wires, we consider the plasmon-only model where disorder can be incorporated into a first-principles instanton… (More)

Ž . We consider a general class of intersecting loop models in d dimensions, including those related to high-temperature expansions of well-known spin models. We find that the loop models exhibit… (More)

Quantum low-density parity check (LDPC) codes such as generalized toric codes with finite rate suggested by Tillich and Zémor offer an alternative route for quantum computation. Here, we study LDPC… (More)

- Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko
- Physical review letters
- 2015

We suggest a technique for constructing lower (existence) bounds for the fault-tolerant threshold to scalable quantum computation applicable to degenerate quantum codes with sublinear distance… (More)