Optimal unambiguous discrimination of pure quantum states using SDP method |
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| Affiliation: | 1. Thin Film Materials Laboratory, Department of Physics, Shivaji University, Kolhapur 416004, M.S., India;2. Department of Physics, Yeungnam University, Gyeongsan, Gyeongbuk-38541, South Korea;3. Chemical Engineering and Process Development Division, National Chemical Laboratory, Dr. Homi Bhabha Road, Pune 411008, M.S., India;4. Department of Physics, Sadguru Gadage Maharaj College, Karad 415124, Dist- Satara, M.S., India;5. School of Nanoscience and Technology, Shivaji University, Kolhapur 416004, M. S., India;1. Department of Mathematics The Islamia University of Bahawalpur, Bahawalpur, Pakistan;2. Department of Physics, Istanbul University, Istanbul Turkey;1. School of Materials Science and Engineering, Northeastern University, Shenyang 110819, PR China;2. The State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110819, PR China;3. Research Center for Metallic Wires, Northeastern University, Shenyang 110819, PR China;1. Belgorod State University, Belgorod 308015, Russian Federation;2. Belgorod State Technological University named after V.G. Shukhov, Belgorod 308012, Russian Federation;3. Southwest State University, Kursk 305040, Russian Federation;4. Kurnakov Institute of General and Inorganic Chemistry, Russian Academy of Sciences, Moscow 119991, Russian Federation |
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| Abstract: | In the present paper, an exact analytic solution for the optimal unambiguous state discrimination(OPUSD) problem involving an arbitrary number of pure linearly independent quantum states with real and complex inner product is presented. Using semidefinite programming and Karush-Kuhn-Tucker convex optimization method, we derive an analytical formula which shows the relation between optimal solution of unambiguous state discrimination problem and an arbitrary number of pure linearly independent quantum states. |
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