1.8k citations · 16.3k across the 107 of their papers we have counts for
7 papers · 2 filters
Theory of quantum computation
E. H. Knill, M. A. Nielsen
Short review article on quantum computation accepted for Supplement III, Encyclopaedia of Mathematics (publication expected Summer 2001). See also http://www.wkap.nl/series.htm/ENM
Thresholds for Linear Optics Quantum Computation
E. Knill, R. Laflamme, G. Milburn
We previously established that in principle, it is possible to quantum compute using passive linear optics with photo-detectors (quant-ph/0006088). Here we describe techniques base…
Efficient Linear Optics Quantum Computation
E. Knill, R. Laflamme, G. Milburn
We investigate the computational power of passive and active linear optical elements and photo-detectors. We show that single photon sources, passive linear optics and photo-detect…
Nonbinary Quantum Stabilizer Codes
Alexei Ashikhmin, Emanuel Knill
We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationship between selforthogonal codes…
NMR Based Quantum Information Processing: Achievements and Prospects
D. G. Cory, R. Laflamme, E. Knill +13
Nuclear magnetic resonance (NMR) provides an experimental setting to explore physical implementations of quantum information processing (QIP). Here we introduce the basic backgroun…
A Study of Quantum Error Correction by Geometric Algebra and Liquid-State NMR Spectroscopy
Yehuda Sharf, David G. Cory, Shyamal S. Somaroo +3
Quantum error correcting codes enable the information contained in a quantum state to be protected from decoherence due to external perturbations. Applied to NMR, quantum coding do…
Dynamical Generation of Noiseless Quantum Subsystems
Lorenza Viola, Emanuel Knill, Seth Lloyd
We present control schemes for open quantum systems that combine decoupling and universal control methods with coding procedures. By exploiting a general algebraic approach, we sho…