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We compare several instances of pure-state Belavkin weighted square-root measurements from the standpoint of minimum-error discrimination of quantum states.
1919
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P. Hausladen, R. Josza, B. Schumacher, M. Westmoreland, and W. K. Wootters, “Classical information capacity of a quantum channel,” Physical Review A
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A. S. Holevo, “The capacity of the quantum channel with general signal states,” IEEE Transactions on Information Theory
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Tsuyoshi Sasaki Usuda, Ichi Takumi, Masayasu Hata, and Osamu Hirota, “Minimum error detection of a classical linear code sending through a quantum channel,” Physics Letters A
1999
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Yonina C. Eldar and G. David Forney, “On quantum detection and the square-root measurement,” IEEE Transactions on Information Theory
2001
Dave Bacon, Andrew M. Childs, and Wim van Dam, “ From optimal measurement to efficient quantum algorithms for the hidden subgroup problem over semidirect product groups,” Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
2007
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Andrew Childs and Wim van Dam, “ Quantum algorithm for a generalized hidden shift problem ,” Proc. 18th ACM-SIAM Symposium on Discrete Algorithms (SODA 2007)
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Cristopher Moore and Alexander Russell, “For Distinguishing Hidden Subgroups, the Pretty Good Measurement is as Good as it Gets,” Quantum Information and Computation
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Ashely Montanaro, “On the distinguishability of random quantum states,” Communications in Mathematical Physics
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Andrew S. Fletcher, “Channel-Adapted Quantum Error Correction,” PhD Thesis
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H. Barnum and E. Knill, “Reversing quantum dynamics with near-optimal and classical fidelity,” Journal of Mathematical Physics
2002
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M. Ježek, J. Řeháček, and J. Fiurášek, “Finding optimal strategies for minimum-error quantum state discrimination,” Physical Review A
2002
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Masashi Ban, “Optimal signal detection in entanglement-assisted quantum communication systems,” Journal of Optics B: Quantum and Semiclassical Optics
2002
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Yonina C. Eldar, Alexandre Megretski, and George C. Verghese, “Designing Optimal Quantum Detectors Via Semidefinite Programming,” IEEE Transactions on Information Theory
2003
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Lawrence Ip. “Shor’s algorithm is optimal,” Preprint, 2004; http://lawrenceip.com/papers/hspsdpabstract.html
2004
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Zdeněk Hradil, Jaroslav Řeháček, Jaromír Fiurášek, and Miroslav Ježek, “Maximum-Likelihood Methods in Quantum Mechanics,” Lecture Notes in Physics
2004
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Patrick Hayden, Debbie Leung, and Graeme Smith, “Multiparty data hiding of quantum information,” Physical Review A
2005
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2007
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Andrew S. Fletcher, Peter W. Shor, and Moe Z. Win, “Optimum quantum error recovery using semidefinite programming,” Physical Review A
2007
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2008
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Daowen Qiu, “Minimum-error discrimination between mixed quantum states,” Physical Review A
2008
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Masahito Hayashi, Akinori Kawachi, and Hirotada Kobayashi, “Quantum measurements for hidden subgroup problems with optimal sample complexity,” Quantum Information and Computation
2008
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2008
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2008
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John J. Benedetto and Andrew Kebo, “The role of frame force in quantum detection,” J. Fourier Anal Appl
2008
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Stephanie Wehner, “Cryptography in a quantum world,” PhD Thesis: University of Amsterdam
2008
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Jon Tyson, “Two-sided estimates of minimum-error distinguishability of mixed quantum states via generalized Holevo-Curlander bounds,” J. Math. Phys
2009
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