8.6k citations · 32.4k across the 110 of their papers we have counts for
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Topological quantum memory
Eric Dennis, Alexei Kitaev, Andrew Landahl +1
We analyze surface codes, the topological quantum error-correcting codes introduced by Kitaev. In these codes, qubits are arranged in a two-dimensional array on a surface of nontri…
Measurability of Wilson loop operators
David Beckman, Daniel Gottesman, Alexei Kitaev +1
We show that the nondemolition measurement of a spacelike Wilson loop operator W(C) is impossible in a relativistic non-Abelian gauge theory. In particular, if two spacelike-separa…
Robustness of adiabatic quantum computation
Andrew M. Childs, Edward Farhi, John Preskill
We study the fault tolerance of quantum computation by adiabatic evolution, a quantum algorithm for solving various combinatorial search problems. We describe an inherent robustnes…
Achievable rates for the Gaussian quantum channel
Jim Harrington, John Preskill
We study the properties of quantum stabilizer codes that embed a finite-dimensional protected code space in an infinite-dimensional Hilbert space. The stabilizer group of such a co…
Causal and localizable quantum operations
David Beckman, Daniel Gottesman, M. A. Nielsen +1
We examine constraints on quantum operations imposed by relativistic causality. A bipartite superoperator is said to be localizable if it can be implemented by two parties (Alice a…