nLab Emanuel Knill

• Institute page

Selected writings:

On quantum programming languages for classically controlled quantum computation:

• Emanuel Knill, Conventions for quantum pseudocode Los Alamos Technical Report (1996) [LA-UR-96-2724, doi:10.2172/366453, pdf]

Introducing the DQC1 quantum complexity class (“one clean qbit”):

• Emanuel Knill, Raymond Laflamme, On the Power of One Bit of Quantum Information, Phys. Rev. Lett. 81 (1998) 5672-5675 [arXiv:quant-ph/9802037, doi:10.1103/PhysRevLett.81.5672]

On quantum error correction:

• Emanuel Knill, Raymond Laflamme, A Theory of Quantum Error-Correcting Codes, Phys. Rev. Lett. 84 2525-2528 (2000) [arXiv:quant-ph/9604034]

Realization of quantum error correction in experiment:

• D. G. Cory, M. D. Price, W. Maas, Emanuel Knill, Raymond Laflamme, Wojchiek H. Zurek, T. F. Havel, and S. S. Somaroo, Experimental Quantum Error Correction, Phys. Rev. Lett. 81, 2152 (1998) (doi:10.1103/PhysRevLett.81.2152)

Mathematical argument that quantum computing with quantum error correction is practically feasible (quantum error threshold theorem):

• Emanuel Knill, Raymond Laflamme, Wojciech Zurek: Resilient Quantum Computation: Error Models and Thresholds, Science 279 5349 (1998) 342-345 [doi;10.1126/science.279.5349.342, arXiv:quant-ph/9702058]

Introducing measurement-based quantum computation:

• Emanuel Knill, Raymond Laflamme, Gerard J. Milburn, A scheme for efficient quantum computation with linear optics, Nature 409 (2001) 46–52 [doi:10.1038/35051009]

On NMR spin resonance qbits:

• Raymond Laflamme, Emanuel Knill, et al., Introduction to NMR Quantum Information Processing, Proceedings of the International School of Physics “Enrico Fermi” 148 Experimental Quantum Computation and Information $[$arXiv;quant-ph/0207172$]$

Introducing the Eastin-Knill theorem on quantum error correction versus universality of quantum gates:

• Bryan Eastin, Emanuel Knill, Restrictions on Transversal Encoded Quantum Gate Sets, Phys. Rev. Lett. 102, 110502 (2009) (arXiv:0811.4262)

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