Understand
We present a theorem that shows that all useful protocols for magic state distillation output states with a fidelity that is upper-bounded by those generated by a much smaller class of protocols.
- This reduced class consists of the protocols where multiple copies of a state are projected onto a stabilizer codespace and the logical qubit is then decoded.
Built on
Nonabelions in the fractional quantum Hall effect
Moore, G., Read, N.: · 1991
Earlier work this paper cites.
Multiple particle interference and quantum error correction
Steane, A.: · 1996
Earlier work this paper cites.
Stabilizer Codes and Quantum Error Correction
Gottesman, D.: · 1997
Earlier work this paper cites.
Theory of fault tolerant quantum computing
Gottesman, D.: · 1998
Earlier work this paper cites.
Quantum Computation and Quantum Information
Nielsen, M.A., Chuang, I.L.: · 2000
Earlier work this paper cites.
Quantum computation with abelian anyons
Lloyd, S.: · 2002
Earlier work this paper cites.
Similar
Pairing of Cooper pairs in a fully frustrated Josephson-junction chain
Douçot, B., Vidal, J.: · 2002
Cited alongside, same era.
Efficient classical simulation of continuous variable quantum information processes
Bartlett, S.D., Sanders, B.C., Braunstein, S.L., Nemoto, K.: · 2002
Cited alongside, same era.
Fault-tolerant quantum computation by anyons
Kitaev, A.: · 2003
Cited alongside, same era.
Universal quantum computation with ideal Clifford gates and noisy ancillas
Bravyi, S., Kitaev, A.: · 2005
Cited alongside, same era.
Quantum universality from magic states distillation applied to CSS codes
Reichardt, B.W.: · 2005
Cited alongside, same era.
Quantum computing with realistically noisy devices
Knill, E.: · 2005
Cited alongside, same era.
Then
Fast simulation of stabilizer circuits using a graph-state reprsentation
Anders, S., Briegel, H.J.: · 2006
Later among the works it cites.
Quantum universality by distilling certain one- and two-qubit states with stabilizer operations
Reichardt, B.W.: · 2006
Later among the works it cites.
Topological fault-tolerance in cluster state quantum computation
Raussendorf, R., Harrington, J., Goyal, K.: · 2007
Later among the works it cites.
Restrictions on transversal encoded quantum gate sets
Eastin, B., Knill, E.: · 2009
Closest in time.
Error-detection-based quantum fault-tolerance threshold
Reichardt, B.W.: · 2009
Closest in time.
Bound States for Magic State Distillation
Campbell, E.T., Browne, D.E.: · 2009
Closest in time.
Beyond the bibliography
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…