TY - JOUR
T1 - Comments on “Best Conventional Solutions to the King's Problem”
AU - Kimura, Gen
AU - Tanaka, Hajime
AU - Ozawa, Masanao
N1 - Funding Information:
From (10), (11) and (12), we obtain (8). ■ To summarize, we have constructed some counter examples to Aravind’s general bound (3) in [5]. However, we have reconfirmed that it can be justified with restricted input states (Theorem 1). We shall investigate the correct bound which is valid for arbitrary input states in the near future. Acknowledgements This work was supported in part by the SCOPE project of the MIC of Japan and the Grand-in-Aid for scientific research (B) 17340021 of the JSPS. G. K. and H. T. are supported by Grant-in-Aid for JSPS Research Fellows.
PY - 2007/4
Y1 - 2007/4
N2 - Conventional solutions of the (Mean) King's problem without using entanglement have been in-vestigated by P. K. Aravind, Z. Naturforsch. 58a, 682 (2003). We report that the upper bound for the success probability claimed is not valid in general but we give a condition for the claim to be justified.
AB - Conventional solutions of the (Mean) King's problem without using entanglement have been in-vestigated by P. K. Aravind, Z. Naturforsch. 58a, 682 (2003). We report that the upper bound for the success probability claimed is not valid in general but we give a condition for the claim to be justified.
KW - Mean King's Problem
KW - Mutually Unbiased Bases
KW - Quantum State Retrodiction
UR - http://www.scopus.com/inward/record.url?scp=39049162431&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=39049162431&partnerID=8YFLogxK
U2 - 10.1515/zna-2007-3-406
DO - 10.1515/zna-2007-3-406
M3 - Article
AN - SCOPUS:39049162431
VL - 62
SP - 152
EP - 156
JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
SN - 0932-0784
IS - 3-4
ER -