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Is the notion of a quantum computer resilient to thermal noise unphysical? We address this question from a constructive perspective and show that local quantum Hamiltonian models provide self-correcting quantum computers.
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For critical analysis of fualt-tolerant quantum computing from the physical point of view, see R. Alicki, D.A. Lidar and P. Zanardi, Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
2006
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D. Bacon, Operator Quantum Error Correcting Subsystems for Self-Correcting Quantum Memories
2006
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H. Bombin and M. A. Martin-Delgado, Topological Quantum Distillation
2006
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H. Bombin and M.A. Martin-Delgado, Topological Computation without Braiding
2007
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H. Bombin and M.A. Martin-Delgado Exact Topological Quantum Order in D=3 and Beyond: Branyons and Brane-Net Condensates
2007
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1999
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M.A. Nielsen and I.L. Chuang, ”Quantum Computation and Quantum Information”, Cambridge University Press, UK, (2000)
2000
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E. Knill, R. Laflamme, and L. Viola, Theory of Quantum Error Correction for General Noise
2000
Cited alongside, same era.
P.O. Boykin, T. Mor, M. Pulver, V. Roychowdhury, F. Vatan, On Universal and Fault-Tolerant Quantum Computing
2000
Cited alongside, same era.
E. Dennis, A. Kitaev, A. Landahl, J. Preskill, Topological Quantum Memory
2002
Cited alongside, same era.
A.Yu. Kitaev, Fault-Tolerant Quantum Computation by Anyons
2003
Cited alongside, same era.
X.-G. Wen, “Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons”, (Oxford University Press, 2004)
2004
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H. Bombin and M.A. Martin-Delgado, Homological Error Correction: Classical and Quantum Codes
2007
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H. Bombin and M.A. Martin-Delgado, Optimal Resources for Topological 2D Stabilizer Codes: Comparative Study
2007
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C. Castelnovo and C. Chamon, Topological order in a 3D toric code at finite temperature
2008
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R. Alicki and L. Lendi, Quantum dynamical semigroups and applications
2008
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2008
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2008
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H. Bombin, M.A. Martin-Delgado, An Interferometry-Free Protocol for Demonstrating Topological Order
2008
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M. Kargarian, Finite temperature topological order in 2D topological color codes
2009
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