Unambiguous quantum state elimination for qubit sequences
arXiv:2003.01800 · doi:10.1103/PhysRevResearch.2.013256
Abstract
Quantum state elimination measurements tell us what states a quantum system does not have. This is different from state discrimination, where one tries to determine what the state of a quantum system is, rather than what it is not. Apart from being of fundamental interest, quantum state elimination may find uses in quantum communication and quantum cryptography. We consider unambiguous quantum state elimination for two or more qubits, where each qubit can be in one of two possible states. Optimal measurements for eliminating one and two states out of four two-qubit states are given. We also prove that if we want to maximise the average number of eliminated overall N-qubit states, then individual measurements on each qubit are optimal.
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Cited by in corpus (8)
- Imperfect 1-out-of-2 quantum oblivious transfer: bounds, a protocol, and its experimental implementation
- Non-interactive XOR quantum oblivious transfer: optimal protocols and their experimental implementations
- Activating Strongest Possible Nonlocality from Local Sets: An Elimination Paradigm
- Demonstration of optimal non-projective measurement of binary coherent states with photon counting
- Experimental demonstration of optimal unambiguous two-out-of-four quantum state elimination
- Optimal discrimination of quantum sequences
- Partial particle and wave information and weak duality games
- Quantum state exclusion for group-generated ensembles of pure states