-
1
-
-
0036519749
-
-
SMJCAT 0097-5397 10.1137/S0097539700377025
-
L. Valiant, SIAM J. Comput. SMJCAT 0097-5397 10.1137/S0097539700377025 31, 1229 (2002);
-
(2002)
SIAM J. Comput.
, vol.31
, pp. 1229
-
-
Valiant, L.1
-
2
-
-
0036508628
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.65.032325
-
B. M. Terhal and D. P. Divincenzo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032325 65, 032325 (2002);
-
(2002)
Phys. Rev. A
, vol.65
, pp. 032325
-
-
Terhal, B.M.1
Divincenzo, D.P.2
-
3
-
-
26944479649
-
-
quant-ph/0108033;
-
E. Knill, e-print quant-ph/0108033;
-
-
-
Knill, E.1
-
4
-
-
26944503042
-
-
quant-ph/0404180.
-
S. Bravyi, e-print quant-ph/0404180.
-
-
-
Bravyi, S.1
-
6
-
-
0242425255
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902
-
G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902 91, 147902 (2003).
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 147902
-
-
Vidal, G.1
-
9
-
-
4243703871
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.62.062311
-
See also D. Aharonov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62. 062311 62, 062311 (2000) for related work.
-
(2000)
Phys. Rev. A
, vol.62
, pp. 062311
-
-
Aharonov, D.1
-
10
-
-
0141684701
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.68.012308
-
A. Harrow and M. Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.012308 68, 012308 (2003).
-
(2003)
Phys. Rev. A
, vol.68
, pp. 012308
-
-
Harrow, A.1
Nielsen, M.2
-
11
-
-
26944494508
-
-
quant-ph/0310136.
-
A. Razborov, e-print quant-ph/0310136.
-
-
-
Razborov, A.1
-
13
-
-
26944470733
-
-
quant-ph/0411036.
-
B. W. Reichardt, e-print quant-ph/0411036.
-
-
-
Reichardt, B.W.1
-
14
-
-
0000947827
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.60.173
-
E. M. Rains, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.173 60, 173 (1999);
-
(1999)
Phys. Rev. A
, vol.60
, pp. 173
-
-
Rains, E.M.1
-
15
-
-
12944306647
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.60.179
-
E. M. Rains, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.179 60, 179 (1999).
-
(1999)
Phys. Rev. A
, vol.60
, pp. 179
-
-
Rains, E.M.1
-
16
-
-
26944478151
-
-
Ph.D. thesis, California Institute of Technology
-
D. Gottesman, Ph.D. thesis, California Institute of Technology, 1997.
-
(1997)
-
-
Gottesman, D.1
-
17
-
-
26944487587
-
-
quant-ph/0406196.
-
For recent improvements see also S. Aaronson and D. Gottesman, e-print quant-ph/0406196.
-
-
-
Aaronson, S.1
Gottesman, D.2
-
18
-
-
0000953494
-
-
PLRAAN. 1050-2947. 10.1103/PhysRevA.62.062314
-
For example, it can be shown that the W class of entangled pure states cannot be created by Clifford operations from computational basis inputs. The W class represents an important form of three-party entanglement, as defined by W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.062314 62, 062314 (2000).
-
(2000)
Phys. Rev. A
, vol.62
, pp. 062314
-
-
Dür, W.1
Vidal, G.2
Cirac, J.I.3
-
19
-
-
84861638187
-
-
Cambridge University Press, Cambridge, U.K.
-
Definitions of all gates in this paper, as well as a good review of the stabilizer formalism, may be found in the textbook by M. Nielsen and I. Chuang, Quantum Information and Quantum Computation (Cambridge University Press, Cambridge, U.K., 2001).
-
(2001)
Quantum Information and Quantum Computation
-
-
Nielsen, M.1
Chuang, I.2
-
20
-
-
35448975107
-
-
RMHPBE 0034-4877 10.1016/0034-4877(72)90011-0
-
A. Jamiolkowski, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(72) 90011-0 3, 275 (1972).
-
(1972)
Rep. Math. Phys.
, vol.3
, pp. 275
-
-
Jamiolkowski, A.1
-
21
-
-
0347988394
-
-
RMSUAF 0036-0279 10.1070/rm1998v053n06ABEH000091
-
A. S. Holevo, Russ. Math. Surveys RMSUAF 0036-0279 10.1070/ rm1998v053n06ABEH000091 53, 1295 (1999).
-
(1999)
Russ. Math. Surveys
, vol.53
, pp. 1295
-
-
Holevo, A.S.1
-
23
-
-
0033604507
-
-
NATUAS 0028-0836 10.1038/46503
-
D. Gottesman and I. Chuang, Nature (London) NATUAS 0028-0836 10.1038/46503 402, 390 (1999).
-
(1999)
Nature (London)
, vol.402
, pp. 390
-
-
Gottesman, D.1
Chuang, I.2
-
24
-
-
0038721037
-
-
PRLTAO. 0031-9007. 10.1103/PhysRevLett.86.544
-
J. I. Cirac, W. Dür, B. Kraus, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.544 86, 544 (2001).
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 544
-
-
Cirac, J.I.1
Dür, W.2
Kraus, B.3
Lewenstein, M.4
-
28
-
-
85037222979
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.65.062101
-
R. Alicki, M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.062101 65, 062101 (2002);
-
(2002)
Phys. Rev. A
, vol.65
, pp. 062101
-
-
Alicki, R.1
Horodecki, M.2
Horodecki, P.3
Horodecki, R.4
-
30
-
-
0000986501
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.59.141
-
G. Vidal and R. Tarrach, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.141 59, 141 (1999)
-
(1999)
Phys. Rev. A
, vol.59
, pp. 141
-
-
Vidal, G.1
Tarrach, R.2
-
31
-
-
0037768761
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.67.054305
-
M. Steiner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.054305 67, 054305 (2003).
-
(2003)
Phys. Rev. A
, vol.67
, pp. 054305
-
-
Steiner, M.1
-
32
-
-
18744436887
-
-
PYLAAG 0375-9601 10.1016/S0375-9601(02)01803-0
-
M. Nielsen, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(02)01803-0 308, 96 (2003);
-
(2003)
Phys. Lett. A
, vol.308
, pp. 96
-
-
Nielsen, M.1
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