Built on

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes , vol. 16 of North-Holland mathematical library (North-Holland, New York, 1977), ISBN 0-444-85009-0
1977
Earlier work this paper cites.
A. Steane, Quantum Reed-Muller codes , IEEE Transactions on Information Theory 45
1999
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000), ISBN 0-521-63235-8 (Hardback), 0-521-63503-9 (Paperback)
2000
Earlier work this paper cites.
A. b. Y. Kitaev, A. Shen, and M. N. Vyalyi, Classical and Quantum Computation , vol. 47 of Graduate Studies in Mathematics (American Mathematical Society, Providence, RI, 2002), ISBN 0-821-82161-X
2002
Earlier work this paper cites.
A. Y. Kitaev, Fault-tolerant quantum computation by anyons , Ann. Phys. 303
2003
Earlier work this paper cites.
S. Aaronson and D. Gottesman, Improved simulation of stabilizer circuits , Phys. Rev. A 70
2004
Earlier work this paper cites.

Similar

S. Bravyi and A. Kitaev, Universal quantum computation with ideal {
2005
Cited alongside, same era.
B. W. Reichardt, Quantum Universality from Magic States Distillation Applied to {
2005
Cited alongside, same era.
P. Aliferis, Level reduction and the quantum threshold theorem , Ph.D. thesis, Caltech (2007)
2007
Cited alongside, same era.
B. Eastin and E. Knill, Restrictions on transversal encoded quantum gate sets (2008), doi:10.1103/PhysRevLett.102.110502 , arXiv:0811.4262
Original
2008
Cited alongside, same era.
R. Koenig, G. Kuperberg, and B. W. Reichardt, Quantum computation with Turaev-Viro codes , p. 53 (2010), arXiv:1002.2816 , URL http://arxiv.org/abs/1002.2816
Original
2010
Cited alongside, same era.

Then

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2012

On the Power of Reusable Magic States

Anderson, Jonas T.

Understand

In this paper we study reusable magic states.

These states are a special subset of the standard magic states.
Once distilled, reusable magic states can be used, repeatedly, to apply some unitary U.
Given this property, reusable magic states have the potential to greatly lower qubit and gate overheads in fault-tolerant quantum computation.

Built on

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes , vol. 16 of North-Holland mathematical library (North-Holland, New York, 1977), ISBN 0-444-85009-0
1977
Earlier work this paper cites.
A. Steane, Quantum Reed-Muller codes , IEEE Transactions on Information Theory 45
1999
Earlier work this paper cites.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000), ISBN 0-521-63235-8 (Hardback), 0-521-63503-9 (Paperback)
2000
Earlier work this paper cites.
A. b. Y. Kitaev, A. Shen, and M. N. Vyalyi, Classical and Quantum Computation , vol. 47 of Graduate Studies in Mathematics (American Mathematical Society, Providence, RI, 2002), ISBN 0-821-82161-X
2002
Earlier work this paper cites.
A. Y. Kitaev, Fault-tolerant quantum computation by anyons , Ann. Phys. 303
2003
Earlier work this paper cites.
S. Aaronson and D. Gottesman, Improved simulation of stabilizer circuits , Phys. Rev. A 70
2004
Earlier work this paper cites.

Similar

S. Bravyi and A. Kitaev, Universal quantum computation with ideal {
2005
Cited alongside, same era.
B. W. Reichardt, Quantum Universality from Magic States Distillation Applied to {
2005
Cited alongside, same era.
P. Aliferis, Level reduction and the quantum threshold theorem , Ph.D. thesis, Caltech (2007)
2007
Cited alongside, same era.
B. Eastin and E. Knill, Restrictions on transversal encoded quantum gate sets (2008), doi:10.1103/PhysRevLett.102.110502 , arXiv:0811.4262
Original
2008
Cited alongside, same era.
R. Koenig, G. Kuperberg, and B. W. Reichardt, Quantum computation with Turaev-Viro codes , p. 53 (2010), arXiv:1002.2816 , URL http://arxiv.org/abs/1002.2816
Original
2010
Cited alongside, same era.

Then

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

E. T. Campbell and D. E. Browne, Bound States for Magic State Distillation in Fault-Tolerant Quantum Computation , Phys. Rev. Lett. 104

2010

Cited alongside, same era.

E. T. Campbell and D. E. Browne, On the Structure of Protocols for Magic State Distillation , Lecture Notes in Computer Science 5906 Theory of Quantum Computation, Communication and Cryptography p. 20 (2009a)

Cited in the paper.

E. T. Campbell and D. E. Browne, Bound States for Magic State Distillation (2009b)

Cited in the paper.

E. T. Campbell, H. Anwar, and D. E. Browne, Magic state distillation in all prime dimensions using quantum Reed-Muller codes (2012), arXiv:1205.3104 , URL http://arxiv.org/abs/1205.3104

Original

2012

Closest in time.

H. Anwar, E. T. Campbell, and D. E. Browne, Qutrit Magic State Distillation , p. 13 (2012), arXiv:1202.2326 , URL http://arxiv.org/abs/1202.2326

Original

2012

Closest in time.