-
3
-
-
0001119863
-
-
eprint math-ph/0003002
-
G. G. Amosov, A. S. Holevo, and R. F. Werner, Probl. Inf. Transm. 36, 305 (2000), eprint math-ph/0003002.
-
(2000)
Probl. Inf. Transm.
, vol.36
, pp. 305
-
-
Amosov, G.G.1
Holevo, A.S.2
Werner, R.F.3
-
5
-
-
0037271821
-
-
C. King and M. B. Ruskai, IEEE Trans. Inf. Theory 47, 192 (2001); C. King, ibid. 49, 221 (2003).
-
(2003)
IEEE Trans. Inf. Theory
, vol.49
, pp. 221
-
-
King, C.1
-
6
-
-
8644247926
-
-
edited by O. Hirota Rinton Press, New Jersey
-
V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, B. J. Yen, and H. P. Yuen, in Quantum Information Statistics Probability, edited by O. Hirota (Rinton Press, New Jersey, 2004), p. 90.
-
(2004)
Quantum Information Statistics Probability
, pp. 90
-
-
Giovannetti, V.1
Guha, S.2
Lloyd, S.3
Maccone, L.4
Shapiro, J.H.5
Yen, B.J.6
Yuen, H.P.7
-
7
-
-
2442437901
-
-
P. W. Shor, Commun. Math. Phys. 246, 453 (2004); A. S. Holevo, eprint quant-ph/0306196.
-
(2004)
Commun. Math. Phys.
, vol.246
, pp. 453
-
-
Shor, P.W.1
-
8
-
-
85015743235
-
-
A. S. Holevo, eprint quant-ph/0306196
-
P. W. Shor, Commun. Math. Phys. 246, 453 (2004); A. S. Holevo, eprint quant-ph/0306196.
-
-
-
-
10
-
-
0028524257
-
-
M. J. W. Hall and M. J. O'Rourke, Quantum Opt. 5, 161 (1993); M. J. W. Hall, Phys. Rev. A 50, 3295 (1994).
-
(1994)
Phys. Rev. A
, vol.50
, pp. 3295
-
-
Hall, M.J.W.1
-
11
-
-
85015777305
-
-
to be published
-
V. Giovannetti, S. Lloyd, L. Maccone, J. H. Shapiro, and B. J. Yen, Phys. Rev. A (to be published).
-
Phys. Rev. A
-
-
Giovannetti, V.1
Lloyd, S.2
Maccone, L.3
Shapiro, J.H.4
Yen, B.J.5
-
15
-
-
12044250345
-
-
H. P. Yuen and M. Ozawa, Phys. Rev. Lett. 70, 363 (1992); C. M. Caves and P. D. Drummond, Rev. Mod. Phys. 66, 481 (1994).
-
(1992)
Phys. Rev. Lett.
, vol.70
, pp. 363
-
-
Yuen, H.P.1
Ozawa, M.2
-
18
-
-
3442898904
-
-
V. Giovannetti, S. Guha, S. Lloyd, L. Maccone, J. H. Shapiro, and H. P. Yuen, Phys. Rev. Lett. 92, 027902 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 027902
-
-
Giovannetti, V.1
Guha, S.2
Lloyd, S.3
Maccone, L.4
Shapiro, J.H.5
Yuen, H.P.6
-
20
-
-
0001572953
-
-
A. S. Holevo, M. Sohma, and O. Hirota, Phys. Rev. A 59, 1820 (1999); M. Sohma and O. Hirota, Recent Res. Dev. Opt. 1, 146 (2000); M. Sohma and O. Hirota, Phys. Rev. A 65, 022319 (2002).
-
(1999)
Phys. Rev. A
, vol.59
, pp. 1820
-
-
Holevo, A.S.1
Sohma, M.2
Hirota, O.3
-
21
-
-
0001572953
-
-
A. S. Holevo, M. Sohma, and O. Hirota, Phys. Rev. A 59, 1820 (1999); M. Sohma and O. Hirota, Recent Res. Dev. Opt. 1, 146 (2000); M. Sohma and O. Hirota, Phys. Rev. A 65, 022319 (2002).
-
(2000)
Recent Res. Dev. Opt.
, vol.1
, pp. 146
-
-
Sohma, M.1
Hirota, O.2
-
22
-
-
0036472433
-
-
A. S. Holevo, M. Sohma, and O. Hirota, Phys. Rev. A 59, 1820 (1999); M. Sohma and O. Hirota, Recent Res. Dev. Opt. 1, 146 (2000); M. Sohma and O. Hirota, Phys. Rev. A 65, 022319 (2002).
-
(2002)
Phys. Rev. A
, vol.65
, pp. 022319
-
-
Sohma, M.1
Hirota, O.2
-
26
-
-
0347585673
-
-
K. Życzkowski, Open Syst. Inf. Dyn. 10, 297 (2003); C. Beck and F. Schlögl, Thermodynamics of Chaotic Systems (Cambridge University Press, Cambridge, 1993).
-
(2003)
Open Syst. Inf. Dyn.
, vol.10
, pp. 297
-
-
Zyczkowski, K.1
-
28
-
-
0348252356
-
-
D. W. Berry and B. C. Sanders, J. Phys. A 36, 12255 (2003); P. Harremoës and F. Topsøe, IEEE Trans. Inf. Theory 47, 2944 (2001).
-
(2003)
J. Phys. A
, vol.36
, pp. 12255
-
-
Berry, D.W.1
Sanders, B.C.2
-
30
-
-
4043055098
-
-
X. Wang, B. C. Sanders and D. W. Berry, Phys. Rev. A 67, 042323 (2003); V. M. Kendon, K. Życzkowski, and W. J. Munro, ibid. 66, 062310 (2002).
-
(2003)
Phys. Rev. A
, vol.67
, pp. 042323
-
-
Wang, X.1
Sanders, B.C.2
Berry, D.W.3
-
31
-
-
0036994853
-
-
X. Wang, B. C. Sanders and D. W. Berry, Phys. Rev. A 67, 042323 (2003); V. M. Kendon, K. Życzkowski, and W. J. Munro, ibid. 66, 062310 (2002).
-
(2002)
Phys. Rev. A
, vol.66
, pp. 062310
-
-
Kendon, V.M.1
Zyczkowski, K.2
Munro, W.J.3
-
32
-
-
85015718010
-
-
note
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2/π is a probability distribution with respect to μ because [26]
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33
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85015753411
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note
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k〉Tr[|ψ〉〈ψ|]=1 which can be proven using Schur's lemma since D(μ) is a unitary irreducible representation of the Weyl-Heisenberg group.
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-
-
-
34
-
-
85015779627
-
-
private communication
-
P. W. Shor (private communication).
-
-
-
Shor, P.W.1
-
35
-
-
85015764601
-
-
C. M. Caves and K. Wódkiewicz, e-print quant-ph/0401149
-
C. M. Caves and K. Wódkiewicz, e-print quant-ph/0401149.
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-
-
-
38
-
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85015723594
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note
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Because the reflected and the transmitted photons have opposite phases, there is always a phase difference between the two. However, in the case we are considering the photons interact with a thermal state so that the phase difference between the two output ports can be compensated by a unitary transformation that does not change the entropy.
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