66 citations · 118 across the 13 of their papers we have counts for
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A Universal Operator Theoretic Framework for Quantum Fault Tolerance
Gerald Gilbert, Michael Hamrick, Yaakov S. Weinstein +2
In this paper we introduce a universal operator theoretic framework for quantum fault tolerance. This incorporates a top-down approach that implements a system-level criterion base…
Quantum Sensor Miniaturization
G. Gilbert, M. Hamrick, Y. S. Weinstein +2
The classical bound on image resolution defined by the Rayleigh limit can be beaten by exploiting the properties of quantum mechanical entanglement. If entangled photons are used a…
Reliable Final Computational Results from Faulty Quantum Computation
Gerald Gilbert, Michael Hamrick, Yaakov S. Weinstein
In this paper we extend both standard fault tolerance theory and Kitaev's model for quantum computation, combining them so as to yield quantitative results that reveal the interpla…
On the use of photonic N00N states for practical quantum interferometry
G. Gilbert, M. Hamrick, Y. S. Weinstein
The performance of photonic states, propagating in an attenuating medium, is analyzed with respect to phase estimation. It is shown that, for states propagating throu…
Efficient Construction of Photonic Quantum Computational Clusters
Gerald Gilbert, Michael Hamrick, Yaakov S. Weinstein
We demonstrate a method of creating photonic two-dimensional cluster states that is considerably more efficient than previously proposed approaches. Our method uses only local unit…
Quantum Computer Condition: Stability, Classical Computation and Norms
Gerald Gilbert, Michael Hamrick, F. Javier Thayer +1
The Quantum Computer Condition (QCC) provides a rigorous and completely general framework for carrying out analyses of questions pertaining to fault-tolerance in quantum computers.…