Zobrazeno 1 - 10
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pro vyhledávání: '"Audenaert, K."'
We propose a state preparation protocol based on sequential measurements of a central spin coupled with a spin ensemble, and investigate the usefulness of the generated multi-spin states for quantum enhanced metrology. Our protocol is shown to genera
Externí odkaz:
http://arxiv.org/abs/2403.05954
Autor:
Audenaert, K. M. R., Hiai, F.
Let $A$ and $B$ be positive semidefinite matrices. The limit of the expression $Z_p:=(A^{p/2}B^pA^{p/2})^{1/p}$ as $p$ tends to $0$ is given by the well known Lie-Trotter-Kato formula. A similar formula holds for the limit of $G_p:=(A^p\,\#\,B^p)^{2/
Externí odkaz:
http://arxiv.org/abs/1412.7905
Autor:
Audenaert, K. M. R., Kittaneh, F.
We present a treasure trove of open problems in matrix and operator inequalities, of a functional analytic nature, and with various degrees of hardness.
Comment: 18 pages; v2: omission of first author's name rectified; v3: section 2 amended on t
Comment: 18 pages; v2: omission of first author's name rectified; v3: section 2 amended on t
Externí odkaz:
http://arxiv.org/abs/1201.5232
Autor:
Audenaert, K. M. R., Scheel, S.
Publikováno v:
New J. Phys. 11, 113052 (2009)
We consider the statistical properties of photon detection with imperfect detectors that exhibit dark counts and less than unit efficiency, in the context of tomographic reconstruction. In this context, the detectors are used to implement certain POV
Externí odkaz:
http://arxiv.org/abs/0906.3668
Publikováno v:
Comm. Math. Phys. 279, 251-283 (2008)
We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for the asymptotic exponential rate at which the specified error probabilit
Externí odkaz:
http://arxiv.org/abs/0708.4282
Publikováno v:
J. Math. Phys. 48, 052104 (2007)
We clarify the mathematical structure underlying unitary $t$-designs. These are sets of unitary matrices, evenly distributed in the sense that the average of any $t$-th order polynomial over the design equals the average over the entire unitary group
Externí odkaz:
http://arxiv.org/abs/quant-ph/0611002
Autor:
Audenaert, K. M. R., Calsamiglia, J., Masanes, Ll., Munoz-Tapia, R., Acin, A., Bagan, E., Verstraete, F.
Publikováno v:
Phys. Rev. Lett. 98, 160501 (2007)
We consider the problem of discriminating two different quantum states in the setting of asymptotically many copies, and determine the optimal strategy that minimizes the total probability of error. This leads to the identification of the quantum Che
Externí odkaz:
http://arxiv.org/abs/quant-ph/0610027
Autor:
Audenaert, K. M. R., Plenio, M. B.
Publikováno v:
New J. Phys. 8, 266 (2006)
The verification and quantification of experimentally created entanglement by simple measurements, especially between distant particles, is an important basic task in quantum processing. When composite systems are subjected to local measurements the
Externí odkaz:
http://arxiv.org/abs/quant-ph/0608067
In a recent paper ([1]=quant-ph/0606035) it is shown how the optimal recovery operation in an error correction scheme can be considered as a semidefinite program. As a possible future improvement it is noted that still better error correction might b
Externí odkaz:
http://arxiv.org/abs/quant-ph/0606059
Autor:
Audenaert, K. M. R., Eisert, J.
Publikováno v:
J. Math. Phys. 46, 102104 (2005)
The quantum relative entropy is frequently used as a distance, or distinguishability measure between two quantum states. In this paper we study the relation between this measure and a number of other measures used for that purpose, including the trac
Externí odkaz:
http://arxiv.org/abs/quant-ph/0503218