Fetching the paper…
Reading the bibliography…
We analyze the optimal unambiguous discrimination of two arbitrary mixed quantum states.
S. N. Afriat, Orthogonal and oblique projectors and the characteristics of pairs of vectors spaces, Proc. Camb. Philos. Soc. 53 (1957) 800–816
1957
Earlier work this paper cites.
D. Bures, An extension of kakutani’s theorem on infinite product measures to the tensor product of semifinite w*-algebras, Transactions of the American Mathematical Society 135 (1969) 199–212
1969
Earlier work this paper cites.
T. N. E. Greville, Solutions of the matrix equation X A X = X XAX=X , and relations between oblique and orthogonal projectors, SIAM J. Appl. Math. 26 (4) (1974) 828–832
1974
Earlier work this paper cites.
C. W. Helstrøm, Quantum Detection and Estimation Theory, Acad. Press, New York, 1976
1976
Earlier work this paper cites.
A. Uhlmann, The ”transition probability” in the state space of a *-algebra, Rep. Math. Phys. 9 (1976) 273–279
1976
Earlier work this paper cites.
I. D. Ivanovic, How to differentiate between non-orthogonal states, Phys. Lett. A 123 (6) (1987) 257–259
1987
Earlier work this paper cites.
D. Dieks, Overlap and distinguishability of quantum states, Phys. Lett. A 126 (5-6) (1988) 303–306
1988
Earlier work this paper cites.
A. Peres, How to differentiate between non-orthogonal states, Phys. Lett. A 128 (1988) 19
1988
Earlier work this paper cites.
G. W. Stewart, J.-G. Sun, Matrix Pertubation Theory, Acad. Press, San Diego, 1990
1990
Earlier work this paper cites.
L. P. Hughston, R. Jozsa, W. K. Wootters, A complete classification of quantum ensembles having a given density matrix, Phys. Lett. A 183 (1) (1993) 14–18
1993
Earlier work this paper cites.
R. Jozsa, Fidelity for mixed quantum states, J. Mod. Opt. 41 (12) (1994) 2315–2323
1994
Earlier work this paper cites.
G. Jaeger, A. Shimony, Optimal distinction between two non-orthogonal quantum states, Phys. Lett. A 197 (2) (1995) 83–87
1995
Earlier work this paper cites.
C. H. Bennett, T. Mor, J. A. Smolin, Parity bit in quantum cryptography, Phys. Rev. A 54 (4) (1996) 2675–2684
1996
Cited alongside, same era.
A. Chefles, Unambiguous discrimination between linearly independent quantum states, Phys. Lett. A 239 (6) (1998) 339–347
1998
Cited alongside, same era.
A. Chefles, S. M. Barnett, Optimum unambiguous discrimination between linearly independent symmetric states, Phys. Lett. A 250 (4-6) (1998) 223–229
1998
Cited alongside, same era.
A. Peres, D. R. Terno, Optimal distinction between non-orthogonal quantum states, J. Phys. A: Math. Gen. 31 (1998) 7105–7111
1998
Cited alongside, same era.
Y. Sun, J. A. Bergou, M. Hillery, Optimum unambiguous discrimination between subsets of nonorthogonal quantum states, Phys. Rev. A 66 (3) (2002) 032315
2002
Cited alongside, same era.
U. Herzog, J. A. Bergou, Optimum unambiguous discrimination of two mixed quantum states, Phys. Rev. A 71 (5) (2005) 050301(R)
2005
Later among the works it cites.
P. Raynal, N. Lütkenhaus, Optimal unambiguous state discrimination of two density matrices: Lower bound and class of exact solutions, Phys. Rev. A 72 (2005) 022342, 049909(E)
2005
Later among the works it cites.
M. Kleinmann, H. Kampermann, D. Bruß, Generalization of quantum-state comparison, Phys. Rev. A 72 (3) (2005) 032308
2005
Later among the works it cites.
J. A. Bergou, E. Feldman, M. Hillery, Optimal unambiguous discrimination of two subspaces as a case in mixed-state discrimination, Phys. Rev. A 73 (3) (2006) 032107
2006
Later among the works it cites.
M. Kleinmann, H. Kampermann, T. Meyer, D. Bruß, Physical purification of quantum states, Phys. Rev. A 73 (6) (2006) 062309
2006
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
T. Rudolph, R. W. Spekkens, P. S. Turner, Unambiguous discrimination of mixed states, Phys. Rev. A 68 (1) (2003) 010301(R)
2003
Cited alongside, same era.
J. A. Bergou, U. Herzog, M. Hillery, Quantum filtering and discrimination between sets of boolean functions, Phys. Rev. Lett. 90 (25) (2003) 257901
2003
Cited alongside, same era.
P. Raynal, N. Lütkenhaus, S. J. van Enk, Reduction theorems for optimal unambiguous state discrimination of density matrices, Phys. Rev. A 68 (2) (2003) 022308
2003
Cited alongside, same era.
A. Bassi, G. Ghirardi, A general scheme for ensemble purification, Phys. Lett. A 309 (1-2) (2003) 24–28
2003
Cited alongside, same era.
U. Herzog, J. A. Bergou, Distinguishing mixed quantum states: Minimum-error discrimination versus optimum unambiguous discrimination, Phys. Rev. A 70 (2) (2004) 022302
2004
Cited alongside, same era.
Y. C. Eldar, M. Stojnic, B. Hassibi, Optimal quantum detectors for unambiguous detection of mixed states, Phys. Rev. A 69 (6) (2004) 062318
2004
Cited alongside, same era.
J. A. Bergou, U. Herzog, M. Hillery, Optimal unambiguous filtering of a quantum state: An instance in mixed state discrimination, Phys. Rev. A 71 (4) (2005) 042314
2005
Cited alongside, same era.
Later among the works it cites.
C. Zhang, Y. Feng, M. Ying, Unambiguous discrimination of mixed quantum states, Phys. Lett. A 353 (2006) 300–306
2006
Later among the works it cites.
U. Herzog, Optimum unambiguous discrimination of two mixed states and application to a class of similar states, Phys. Rev. A 75 (5) (2007) 052309
2007
Later among the works it cites.
P. Raynal, N. Lütkenhaus, Optimal unambiguous state discrimination of two density matrices: A second class of exact solutions, Phys. Rev. A 76 (2007) 052322
2007
Later among the works it cites.
M. Kleinmann, H. Kampermann, P. Raynal, D. Bruß, Commutator relations reveal solvable structures in unambiguous state discrimination, J. Phys. A: Math. Theor. 40 (36) (2007) F871–F878
2007
Later among the works it cites.
M. Kleinmann, H. Kampermann, T. Meyer, D. Bruß, Purifying and reversible physical processes, Appl. Phys. B 86 (3) (2007) 371–375
2007
Later among the works it cites.
X.-F. Zhou, Y.-S. Zhang, G.-C. Guo, Unambiguous discrimination of mixed states: A description based on system-ancilla coupling, Phys. Rev. A 75 (5) (2007) 052314
2007
Later among the works it cites.