Orthogonal multiuser detection
Signal Processing
Orthogonal and projected orthogonal matched filter detection
Signal Processing
Performance of quantum data transmission systems in the presence of thermal noise
IEEE Transactions on Communications
Theory of quantum pulse position modulation and related numerical problems
IEEE Transactions on Communications
The geometry of quantum learning
Quantum Information Processing
Quantum Hardcore Functions by Complexity-Theoretical Quantum List Decoding
SIAM Journal on Computing
Ancilla-assisted discrimination of quantum gates
Quantum Information & Computation
Optical demonstrations of statistical decision theory for quantum systems
Quantum Information & Computation
Quantum hardcore functions by complexity-theoretical quantum list decoding
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part II
Can bipartite classical information be activated?
Quantum Information & Computation
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We consider the problem of constructing measurements optimized to distinguish between a collection of possibly nonorthogonal quantum states. We consider a collection of pure states and seek a positive operator-valued measure (POVM) consisting of rank-one operators with measurement vectors closest in squared norm to the given states. We compare our results to previous measurements suggested by Peres and Wootters (1991) and Hausladen et al. (1996), where we refer to the latter as the square-root measurement (SRM). We obtain a new characterization of the SRM, and prove that it is optimal in a least-squares sense. In addition, we show that for a geometrically uniform state set the SRM minimizes the probability of a detection error. This generalizes a similar result of Ban et al. (see Int. J. Theor. Phys., vol.36, p.1269-88, 1997)