74 citations · 109 across the 6 of their papers we have counts for
6 papers
An upper bound on quantum fault tolerant thresholds
Jesse Fern
In this paper we calculate upper bounds on fault tolerance, without restrictions on the overhead involved. Optimally adaptive recovery operators are used, and the Shannon entropy i…
New lower bounds on the non-zero capacity of Pauli Channels
Jesse Fern, K. Birgitta Whaley
We study encodings that give the best known thresholds for the non-zero capacity of quantum channels, i.e., the upper bound for correctable noise, using an entropic approach to cal…
Correctable noise of Quantum Error Correcting Codes under adaptive concatenation
Jesse Fern
We examine the transformation of noise under a quantum error correcting code (QECC) concatenated repeatedly with itself, by analyzing the effects of a quantum channel after each le…
Expectations of two-level telegraph noise
Jesse Fern
We find expectation values of functions of time integrated two-level telegraph noise. Expectation values of this noise are evaluated under simple control pulses. Both the Gaussian…
Generalized Performance of Concatenated Quantum Codes -- A Dynamical Systems Approach
Jesse Fern, Julia Kempe, Slobodan Simic +1
We apply a dynamical systems approach to concatenation of quantum error correcting codes, extending and generalizing the results of Rahn et al. [1] to both diagonal and nondiagonal…
Probabilistic quantum error correction
Jesse Fern, John Terilla
There are well known necessary and sufficient conditions for a quantum code to correct a set of errors. We study weaker conditions under which a quantum code may correct errors wit…