Unambiguous discrimination of sequences of quantum states
arXiv:2402.06365 · doi:10.1103/PhysRevA.109.052222
Abstract
We consider the problem of determining the state of an unknown quantum sequence without error. The elements of the given sequence are drawn with equal probability from a known set of linearly independent pure quantum states with the property that their mutual inner products are all real and equal. This problem can be posed as an instance of unambiguous state discrimination where the states correspond to that of all possible sequences having the same length as the given one. We calculate the optimum probability by solving the optimality conditions of a semidefinite program. The optimum value is achievable by measuring individual members of the sequence, and no collective measurement is necessary.
arXiv commentv1:17 pages; v2: published version, 19 pages, expanded introduction, better organized proof of the main result, and several minor edits to improve clarity
References in corpus (13)
- Quantum Nonlocality without Entanglement
- Quantum State Discrimination
- Unambiguous Discrimination Between Linearly-Independent Quantum States
- Quantum state discrimination and its applications
- Optimum Unambiguous Discrimination Between Linearly Independent Symmetric States
- A Semidefinite Programming Approach to Optimal Unambiguous Discrimination of Quantum States
- Optimal distinction between non-orthogonal quantum states
- Optimum unambiguous discrimination among linearly-independent non-orthogonal quantum states and its optical realization
- Optimum Unambiguous Discrimination of Linearly Independent Pure States
- Optimal Unambiguous Discrimination of Quantum States
- Unambiguous comparison of the states of multiple quantum systems
- Complete solution for unambiguous discrimination of three pure states with real inner products
- Unambiguous discrimination of linearly independent pure quantum states: Optimal average probability of success