Quantum state discrimination is a key concept in quantum information theory and quantum mechanics that involves determining which one of several possible quantum states a given system is in. This problem is fundamental for various applications such as quantum computing, quantum communication, and quantum cryptography. In quantum mechanics, a system can exist in a superposition of states, and when we perform a measurement, we gain information about that state.
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Quantum state discrimination uses a measurement in quantum mechanics to identify which candidate density operator was prepared. Minimum-error and unambiguous discrimination impose different objectives; quantum binary hypothesis testing is the two-state case.